CN114112921B - A damage detection method, system, medium and equipment based on Ritz transform - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及结构检测技术领域,特别涉及一种基于里兹变换的损伤检测方法。The invention relates to the technical field of structure detection, in particular to a damage detection method based on Ritz transformation.
背景技术Background technique
腐蚀是民用石化、核工业和航空航天结构中常见的损伤,腐蚀损伤的存在会影响结构的完整性和安全性,并可能导致灾难性的失效。在飞机的维护方面,飞机在使用寿命期间累积的腐蚀损伤也是对飞行安全的潜在威胁,机身出现的腐蚀损伤一直是一个需要重点关注的方向,需要更频繁地进行检查和维护。因此,例如识别飞机结构中出现的腐蚀类损伤具有重要的意义。Corrosion is a common damage in civil petrochemical, nuclear industry, and aerospace structures. The presence of corrosion damage can affect the integrity and safety of structures and may lead to catastrophic failure. In terms of aircraft maintenance, the corrosion damage accumulated during the service life of the aircraft is also a potential threat to flight safety. The corrosion damage of the fuselage has always been a direction that needs to be focused on, and more frequent inspections and maintenance are required. It is therefore of great importance to identify, for example, corrosion-type damage that occurs in aircraft structures.
在常规的无损检测方法中,超声检测常被用于检测飞机中可能出现的腐蚀损伤,但传统超声检测中所使用的耦合剂对于受检材料可能存在影响。激光超声检测技术作为一种新兴的无损检测技术,其原理是利用激光来激发和接收超声波,进而检测材料及结构中的损伤,由于在检测过程中不需要使用耦合剂,所以与传统的超声检测方式相比,具有非接触的特点。此外,脉冲激光束可以在较远的距离和较大的角度范围内倾斜入射到结构表面进行超声波的激发和接收,易于实现复杂型面结构的自动化检测。通过先进的无损评估对隐蔽腐蚀进行可视化和量化,对于检测腐蚀位置、量化腐蚀尺寸和深度、确保结构安全、降低使用寿命成本至关重要。In conventional non-destructive testing methods, ultrasonic testing is often used to detect possible corrosion damage in aircraft, but the couplant used in traditional ultrasonic testing may have an impact on the tested materials. As an emerging non-destructive testing technology, laser ultrasonic testing technology uses laser to excite and receive ultrasonic waves to detect damage in materials and structures. Since no coupling agent is used in the testing process, it is different from traditional ultrasonic testing Compared with the method, it has the characteristics of non-contact. In addition, the pulsed laser beam can be obliquely incident on the surface of the structure in a relatively long distance and within a large angle range for excitation and reception of ultrasonic waves, which is easy to realize automatic detection of complex surface structures. Visualizing and quantifying hidden corrosion through advanced non-destructive assessment is critical to detect corrosion location, quantify corrosion size and depth, ensure structural safety, and reduce lifetime costs.
此外,基于Lamb波(Lamb wave,兰姆波)的探测技术多年来一直是探测、定位和识别结构中损伤的重要技术。由于Lamb波在传播过程中会与材料的损伤部位相互作用而包含丰富的信息,且没有显著的耗散,因此能够携带损伤信息传播较远的距离,便于大面积试件的检测。利用激光以一定步长在空间上进行扫描和接收Lamb波信号可以获得整个扫描区域内的时间-空间波场数据。将导波波场逐帧的回放可以直观的看到不同时刻下Lamb波与结构特征或损伤之间的相互作用过程,通过损伤成像技术进一步对波场信号进行分析,可以实现对结构中损伤的定量检测。近年来,多种损伤成像的方法被开发出来,但是多数研究集中在损伤的平面定位以及形态识别上,例如公开号为CN109632958A(公开日期为2019年4月16日)的中国专利公开的一种一种考虑裂纹方位的Lamb波损伤检测方法,而现有技术在损伤深度识别上所进行的研究较少。In addition, detection technology based on Lamb wave (Lamb wave) has been an important technology for detecting, locating and identifying damage in structures for many years. Since the Lamb wave will interact with the damaged part of the material during the propagation process and contain rich information without significant dissipation, it can carry the damage information and propagate a long distance, which is convenient for the detection of large-area specimens. The time-space wave field data in the whole scanning area can be obtained by using the laser to scan in space with a certain step length and receiving the Lamb wave signal. Playing back the guided wave field frame by frame can intuitively see the interaction process between the Lamb wave and the structural features or damage at different times. The damage imaging technology can further analyze the wave field signal to realize the damage detection in the structure. Quantitative detection. In recent years, a variety of damage imaging methods have been developed, but most of the research focuses on the plane location and shape recognition of the damage, such as a Chinese patent with publication number CN109632958A (publication date: April 16, 2019). A Lamb wave damage detection method that considers the crack orientation, while the existing technology has little research on damage depth identification.
综上,损伤在深度方向上的定量信息对于损伤评估及后期维护具有重要意义,现有技术中缺乏对于损伤深度方向上的检测分析手段。To sum up, the quantitative information of the damage in the depth direction is of great significance for damage assessment and subsequent maintenance, and there is a lack of detection and analysis methods for the damage depth direction in the prior art.
发明内容Contents of the invention
为解决上述现有技术中的不足,本发明提供一种基于里兹变换的损伤检测方法、系统、介质和设备,其中基于里兹变换的损伤检测方法包括以下步骤:In order to solve the above-mentioned deficiencies in the prior art, the present invention provides a damage detection method, system, medium and equipment based on Ritz transform, wherein the damage detection method based on Ritz transform includes the following steps:
S10:将包含损伤信息的原始波场信号转换为频域波场信号,并选取主频对应的单频频域波场信号;S10: converting the original wave field signal containing damage information into a frequency domain wave field signal, and selecting a single frequency frequency domain wave field signal corresponding to the main frequency;
S20:通过对所述单频频域波场信号进行里兹变换,以获得与所述单频频域波场信号对应的复数域波场解析信号;S20: Obtain a complex number domain wave field analysis signal corresponding to the single frequency frequency domain wave field signal by performing Ritz transform on the single frequency frequency domain wave field signal;
S30:通过对所述复数域波场解析信号进行相位求解以获得所述单频频域波场信号的原始空间相位信息;S30: Obtain the original spatial phase information of the single frequency frequency domain wave field signal by performing phase calculation on the complex number domain wave field analysis signal;
S40:通过对所述原始空间相位信息进行相位解缠,得到空间真实相位;S40: Obtain a real spatial phase by performing phase unwrapping on the original spatial phase information;
S50:通过对所述空间真实相位进行正交方向的偏导求解,得到空间波数信息;S50: Obtain spatial wavenumber information by performing a partial derivative solution in an orthogonal direction on the spatial real phase;
S60:将所述空间波数信息与对应材料及频率的频散曲线进行对照,获取与所述空间波数信息对应的有效板厚信息;S60: Compare the spatial wavenumber information with the dispersion curve of the corresponding material and frequency, and obtain effective plate thickness information corresponding to the spatial wavenumber information;
S70:通过所述有效板厚信息得出所述损伤信息的可读信息,所述可读信息包括损伤深度信息。S70: Obtain readable information of the damage information through the effective plate thickness information, where the readable information includes damage depth information.
在一实施例中,所述步骤S10包如下步骤:In one embodiment, the step S10 includes the following steps:
S11:所述原始波场信息包括时空波场信号w(x,y,t),通过对所述时空波场信号w(x,y,t)做一维傅立叶变换得到所述频域波场信号w(x,y,f);S11: The original wave field information includes a space-time wave field signal w(x, y, t), and the frequency domain wave field is obtained by performing a one-dimensional Fourier transform on the space-time wave field signal w(x, y, t) signal w(x,y,f);
S12:从所述频域波场信号w(x,y,f)中选取出主频f0对应的单频频域波场信号w(x,y,f0)。S12: Select a single frequency frequency domain wave field signal w(x,y,f 0 ) corresponding to the main frequency f 0 from the frequency domain wave field signal w(x,y, f ).
在一实施例中,所述步骤S20中包括:对所述单频频域波场信号w(x,y,f0)进行里兹变换求解出所述单频频域波场信号w(x,y,f0)对应的所述复数域波场解析信号的构成部分wm(x,y,t)=[w(x,t,f0),wx(x,y,f0),wy(x,y,f0)];In one embodiment, the step S20 includes: performing Ritz transformation on the single-frequency frequency-domain wave field signal w(x, y, f 0 ) to obtain the single-frequency frequency-domain wave field signal w(x, y , f 0 ) corresponding to the component of the complex domain wavefield analysis signal w m (x, y, t) = [w (x, t, f 0 ), w x (x, y, f 0 ), w y (x,y,f 0 )];
所述里兹变换的第一变换核函数包括 The first transform kernel function of the Ritz transform includes
所述里兹变换的第二变换核函数包括 The second transform kernel function of the Ritz transform includes
在一实施例中,所述步骤S30中的所述原始空间相位信息通过所述复数域波场解析信号的向量化定义的顶角的局部相位表示,其中In one embodiment, the original spatial phase information in the step S30 is defined by the vertex angle defined by the vectorization of the complex domain wavefield analysis signal The local phase representation of , where
在一实施例中,所述步骤S40包括如下步骤:In one embodiment, the step S40 includes the following steps:
S41:构建可靠性矩阵R,S41: Construct the reliability matrix R,
其中 in
其中,in,
其中表示坐标位置的相位值,函数γ(x)用于求得变量x与2π的余数;in Indicates the phase value of the coordinate position, and the function γ(x) is used to obtain the remainder of the variable x and 2π;
S42:根据所述可靠性矩阵求解空间各坐标点边界的可靠性参数,所述可靠性参数的取值为边界两侧坐标点可靠性取值之和;S42: Solve the reliability parameters of the boundaries of each coordinate point in the space according to the reliability matrix, where the value of the reliability parameter is the sum of the reliability values of the coordinate points on both sides of the boundary;
S43:按照所述各坐标点边界的可靠性参数从大到小的的路径进行相位解缠。S43: Perform phase unwrapping according to the paths from large to small reliability parameters of the boundary of each coordinate point.
在一实施例中,所述步骤S40于所述步骤S43之后还包括In one embodiment, the step S40 further includes after the step S43
步骤S44:将反三角函数中模糊掉的相位进行相位增补,以得到所述空间真实相位 Step S44: Perform phase supplementation on the blurred phase in the inverse trigonometric function to obtain the real phase of the space
在一实施例中,所述步骤S50中的空间波数信息包括空间各坐标点波数向量的模值;In one embodiment, the spatial wavenumber information in step S50 includes the modulus of the wavenumber vector of each coordinate point in space;
所述波数向量其中kx,ky分别为所述空间真实相位/>对两个正交方向的偏导,也即/> The wavenumber vector Where k x , ky are respectively the real phase of the space/> The partial derivatives in two orthogonal directions, that is, />
本发明还提供一种基于里兹变换的损伤检测系统,包括The present invention also provides a damage detection system based on Ritz transform, including
转换模块,通过所述转换模块将包含损伤信息的原始波场信号转换为频域波场信号,并选取主频对应的单频频域波场信号;A conversion module, through which the original wave field signal containing damage information is converted into a frequency domain wave field signal, and a single frequency frequency domain wave field signal corresponding to the main frequency is selected;
里兹变换模块,所述里兹变换模块用于对所述单频频域波场信号进行里兹变换,以获得与所述单频频域波场信号对应的复数域波场解析信号;A Ritz transform module, the Ritz transform module is used to perform Ritz transform on the single frequency frequency domain wave field signal to obtain a complex number domain wave field analysis signal corresponding to the single frequency frequency domain wave field signal;
相位求解模块,所述相位求解模块用于对所述复数域波场解析信号进行相位求解以获得所述单频频域波场信号的原始空间相位信息;A phase solving module, the phase solving module is used to perform phase solving on the complex number domain wave field analysis signal to obtain the original spatial phase information of the single frequency frequency domain wave field signal;
相位解缠模块,所述相位解缠模块用于对所述原始空间相位信息进行相位解缠,得到空间真实相位;A phase unwrapping module, the phase unwrapping module is used to perform phase unwrapping on the original spatial phase information to obtain the real spatial phase;
波数求解模块,所述波数求解模块用于对所述空间真实相位进行正交方向的偏导求解,得到空间波数信息;A wavenumber solving module, the wavenumber solving module is used to solve the partial derivative in the orthogonal direction for the real phase of the space to obtain the spatial wavenumber information;
板厚信息获取模块,所述板厚信息获取模块用于将所述空间波数信息与对应材料及频率的频散曲线进行对照,获取与所述空间波数信息对应的有效板厚信息;A plate thickness information acquisition module, the plate thickness information acquisition module is used to compare the spatial wavenumber information with the dispersion curve of the corresponding material and frequency, and obtain effective plate thickness information corresponding to the spatial wavenumber information;
可读信息获取模块,所述可读信息获取模块通过所述有效板厚信息得出所述损伤信息的可读信息,所述可读信息包括损伤深度信息。A readable information acquisition module, the readable information acquisition module obtains the readable information of the damage information through the effective plate thickness information, and the readable information includes damage depth information.
本发明还提供一种计算机可读存储介质,所述计算机可读存储介质存储有计算机指令,所述计算机被处理器执行时实现如上任一项所述的基于里兹变换的损伤检测方法。The present invention also provides a computer-readable storage medium, where computer instructions are stored in the computer-readable storage medium, and when the computer is executed by a processor, the damage detection method based on Ritz transformation as described in any one of the above items is realized.
本发明还提供一种计算机设备,包括至少一个处理器、及与所述处理器通信连接的存储器,其中所述存储器存储可被至少一个处理器执行的指令,所述指令被至少一个处理器执行,以使所述处理器执行如上任一项所述的基于里兹变换的损伤检测方法。The present invention also provides a computer device, comprising at least one processor, and a memory communicatively connected to the processor, wherein the memory stores instructions executable by at least one processor, and the instructions are executed by at least one processor , so that the processor executes the Ritz transform-based damage detection method described in any one of the above.
基于上述,与现有技术相比,本发明提供的基于里兹变换的损伤检测方法,利用了解析信号表示的导波场所包含的丰富信息体现损伤信息。由里兹变换导出的解析信号用于获得重构导波场的空间方位、相位和振幅。并将相位在空间上对两个坐标求导得到空间波数矢量。通过里兹变换得到的空间波数矢量的大小表示控件每一点上指向传播方向的空间波数值。通过波场解析信号的相位信息,可以体现小强度散射和反射波场的信息,使得该方法能够使用于较为复杂的几何结构,结合算法以及Lamb波各自的优势,针对损伤的形态,位置进行评估,以得到准确的损伤深度信息。Based on the above, compared with the prior art, the damage detection method based on the Ritz transform provided by the present invention utilizes the rich information contained in the guided wave field represented by the analytical signal to embody the damage information. The analytical signal derived from the Ritz transform is used to obtain the spatial orientation, phase and amplitude of the reconstructed guided wave field. And deriving the phase with respect to the two coordinates in space to obtain the space wavenumber vector. The size of the spatial wavenumber vector obtained through the Ritz transformation represents the spatial wavenumber pointing to the propagation direction at each point of the control. Analyzing the phase information of the signal through the wave field can reflect the information of the small-intensity scattering and reflection wave field, so that the method can be used in more complex geometric structures, combined with the respective advantages of the algorithm and the Lamb wave, to evaluate the shape and position of the damage , to obtain accurate damage depth information.
本发明的其它特征和有益效果将在随后的说明书中阐述,并且,部分地从说明书中变得显而易见,或者通过实施本发明而了解。本发明的目的和其他有益效果可通过在说明书、权利要求书以及附图中所特别指出的结构来实现和获得。Additional features and advantages of the invention will be set forth in the description which follows, and in part will be apparent from the description, or may be learned by practice of the invention. The objectives and other beneficial effects of the present invention can be realized and obtained by the structures particularly pointed out in the specification, claims and accompanying drawings.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作一简单地介绍,显而易见地,下面描述中的附图是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图;在下面描述中附图所述的位置关系,若无特别指明,皆是图示中组件绘示的方向为基准。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description These are some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained from these drawings without creative work; the positional relationship described in the drawings in the following description, Unless otherwise specified, the orientation of the components shown in the figure is the reference.
图1为本发明提供的基于里兹变换的损伤检测方法流程示意图;Fig. 1 is a schematic flow chart of the damage detection method based on Ritz transform provided by the present invention;
图2为本发明实施例步骤S10和步骤S40的流程示意图;FIG. 2 is a schematic flow diagram of step S10 and step S40 according to an embodiment of the present invention;
图3空间相位解缠示意图;Figure 3 Schematic diagram of spatial phase unwrapping;
图4为实施例一板材频散曲线;Fig. 4 is embodiment one plate dispersion curve;
图5为仿真实施例探伤波形图;Fig. 5 is the flaw detection waveform diagram of the simulation embodiment;
图6为仿真实施例有效板厚示意图。Fig. 6 is a schematic diagram of the effective plate thickness of the simulation embodiment.
具体实施方式Detailed ways
为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明一部分实施例,而不是全部的实施例;下面所描述的本发明不同实施方式中所设计的技术特征只要彼此之间未构成冲突就可以相互结合;基于本发明中的实施例,本领域普通技术人员在没有作出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments It is a part of the embodiments of the present invention, rather than all embodiments; the technical features designed in the different embodiments of the present invention described below can be combined as long as they do not constitute conflicts; based on the embodiments of the present invention, the present invention All other embodiments obtained by persons of ordinary skill in the art without creative efforts fall within the protection scope of the present invention.
在本发明的描述中,需要说明的是,本发明所使用的所有术语(包括技术术语和科学术语)具有与本发明所属领域的普通技术人员通常所理解的含义相同的含义,不能理解为对本发明的限制;应进一步理解,本发明所使用的术语应被理解为具有与这些术语在本说明书的上下文和相关领域中的含义一致的含义,并且不应以理想化或过于正式的意义来理解,除本发明中明确如此定义之外。In the description of the present invention, it should be noted that all the terms (including technical terms and scientific terms) used in the present invention have the same meanings as commonly understood by those of ordinary skill in the art to which the present invention belongs, and cannot be construed Limitations of the Invention; It should be further understood that the terms used in the present invention should be understood to have a meaning consistent with the meaning of these terms in the context of this specification and in the relevant field, and should not be interpreted in an idealized or overly formal sense , unless explicitly so defined in the present invention.
下面通过具体实施例进行说明。The following will be described through specific examples.
本发明提供一种基于里兹变换的损伤检测方法,参考图1,包括以下步骤:The present invention provides a kind of damage detection method based on Ritz transformation, with reference to Fig. 1, comprises the following steps:
S10:将包含损伤信息的原始波场信号转换为频域波场信号,并选取主频对应的单频频域波场信号;S10: converting the original wave field signal containing damage information into a frequency domain wave field signal, and selecting a single frequency frequency domain wave field signal corresponding to the main frequency;
S20:通过对所述单频频域波场信号进行里兹变换,以获得与所述单频频域波场信号对应的复数域波场解析信号;S20: Obtain a complex number domain wave field analysis signal corresponding to the single frequency frequency domain wave field signal by performing Ritz transform on the single frequency frequency domain wave field signal;
S30:通过对所述复数域波场解析信号进行相位求解以获得所述单频频域波场信号的原始空间相位信息;S30: Obtain the original spatial phase information of the single frequency frequency domain wave field signal by performing phase calculation on the complex number domain wave field analysis signal;
S40:通过对所述原始空间相位信息进行相位解缠,得到空间真实相位;S40: Obtain a real spatial phase by performing phase unwrapping on the original spatial phase information;
S50:通过对所述空间真实相位进行正交方向的偏导求解,得到空间波数信息;S50: Obtain spatial wavenumber information by performing a partial derivative solution in an orthogonal direction on the spatial real phase;
S60:将所述空间波数信息与对应材料及频率的频散曲线进行对照,获取与所述空间波数信息对应的有效板厚信息;S60: Compare the spatial wavenumber information with the dispersion curve of the corresponding material and frequency, and obtain effective plate thickness information corresponding to the spatial wavenumber information;
S70:通过所述有效板厚信息得出所述损伤信息的可读信息,所述可读信息包括损伤深度信息。S70: Obtain readable information of the damage information through the effective plate thickness information, where the readable information includes damage depth information.
较佳地,可读信息还包括损伤方位及形态信息。Preferably, the readable information also includes damage orientation and shape information.
具体地,例如通过Lamb波在得到包含损伤信息的波场原始信号后,为了通过时空域信号解析出缺陷的深度信息,需要通过几个主要步骤的处理。如图2所示,首先步骤S10包如下步骤:Specifically, for example, after obtaining the original signal of the wave field containing damage information through Lamb waves, in order to analyze the depth information of the defect through the time-space domain signal, it needs to go through several main steps of processing. As shown in Figure 2, first step S10 includes the following steps:
S11:所述原始波场信息包括时空波场信号w(x,y,t),通过对所述时空波场信号w(x,y,t)做一维傅立叶变换得到所述频域波场信号w(x,y,f);S11: The original wave field information includes a space-time wave field signal w(x, y, t), and the frequency domain wave field is obtained by performing a one-dimensional Fourier transform on the space-time wave field signal w(x, y, t) signal w(x,y,f);
S12:从所述频域波场信号w(x,y,f)中选取出主频f0对应的单频频域波场信号w(x,y,f0),较佳地,主频f0为激励频率。S12: Select a single frequency frequency domain wave field signal w(x, y, f 0 ) corresponding to the main frequency f 0 from the frequency domain wave field signal w(x, y, f ), preferably, the main frequency f 0 is the excitation frequency.
接着S20对选取出的单频频域波场信号w(x,y,f0)进行里兹变换,并构造出单频波场对应的解析信号R[w(x,y,f0)]。对于单频频域波场信号w(x,y,f0),时空域中里兹变换的第一变换核函数为里兹变换的第二变换核函数包括/>通过里兹变换可以求解出w(x,y,f0)对应复数域波场解析信号的构成部分wm(x,y,t)=[w(x,y,f0),wx(x,y,f0),wy(x,t,f0)]。Then S20 performs Ritz transformation on the selected single-frequency frequency-domain wave field signal w(x,y,f 0 ), and constructs an analytical signal R[w(x,y,f 0 )] corresponding to the single-frequency wave field. For a single-frequency frequency-domain wavefield signal w(x,y,f 0 ), the first transform kernel function of the Ritz transform in the space-time domain is The second transform kernel function of the Ritz transform includes /> Through the Ritz transform, w(x,y,f 0 ) can be solved to correspond to the components w m (x,y,t)=[w(x,y,f 0 ),w x ( x,y,f 0 ), w y (x,t,f 0 )].
从解析信号的向量化定义可知顶角则表示局部的相位,是图像的结构信息描述,可通过所述复数域波场解析信号的向量化定义的顶角/>的局部相位表示原始空间相位信息。因此步骤S30通过下式求解出单频波场的原始空间相位信息,From the vectorized definition of the analytic signal, we know that the vertex angle Then it represents the local phase, which is the description of the structure information of the image, and the vertex angle defined by the vectorization of the complex number domain wavefield analysis signal/> The local phase of represents the original spatial phase information. Therefore, step S30 solves the original spatial phase information of the single-frequency wave field by the following formula,
接着,在步骤S40中,由于相位由波场解析信号求解得出,而复数对相位的表达具有周期性,里兹变换在求解相位时相位的范围在0到π之间,以2π为模来进行取值,真实值与计算值之间因为相位堆叠存在着2kπ的差别。而获得准确的相位是实现检测的关键步骤,因此需要对相位进行解缠还原,未经解缠相位如图3(a)所示。在解缠中存在两个主要问题,可靠性函数的选择和相位展开路径的设计,为选择合理的展开路径,首先对可靠性函数进行定义。Next, in step S40, since the phase is obtained by solving the wave field analysis signal, and the expression of the phase by the complex number is periodic, the range of the phase is between 0 and π when the Ritz transform is used to solve the phase, and the phase is calculated with 2π as the modulo Take the value, there is a 2kπ difference between the real value and the calculated value because of the phase stacking. Obtaining an accurate phase is a key step in realizing detection, so it is necessary to unwrap and restore the phase. The unwrapped phase is shown in Figure 3(a). There are two main problems in unwrapping, the choice of reliability function and the design of phase unwrapping path. In order to choose a reasonable unwrapping path, the reliability function is defined first.
具体地,包括如图2所示的步骤S41-S43,在S41中如下式所示,将各点相位值转化为对应可靠性参数,构成可靠性矩阵其中D由下式进行定义Specifically, steps S41-S43 as shown in FIG. 2 are included. In S41, as shown in the following formula, the phase values of each point are converted into corresponding reliability parameters to form a reliability matrix where D is defined by
式中各部分分别为Each part of the formula is
其中表示坐标位置的相位值,函数γ(x)用于求得变量x与2π的余数。in Represents the phase value of the coordinate position, and the function γ(x) is used to obtain the remainder of the variable x and 2π.
接着,S42中根据所述可靠性矩阵求解空间各坐标点边界的可靠性参数,所述可靠性参数的取值为边界两侧坐标点可靠性取值之和。Next, in S42, the reliability parameters of the boundary of each coordinate point in the space are calculated according to the reliability matrix, and the value of the reliability parameter is the sum of the reliability values of the coordinate points on both sides of the boundary.
然后在S43中按照所述各坐标点边界的可靠性参数从大到小的的路径进行相位解缠。Then in S43, the phase unwrapping is performed according to the path of reliability parameters of the boundary of each coordinate point from large to small.
优选地,在一实施例中,如图2所示,步骤S40还包括步骤S44,将反三角函数中模糊掉的相位进行相位增补,以得到所述空间真实相位图3(b)为经解缠还原后相位。Preferably, in one embodiment, as shown in FIG. 2, step S40 further includes step S44, performing phase supplementation on the blurred phase in the inverse trigonometric function, so as to obtain the real spatial phase Figure 3(b) is the phase after unwrapping and reduction.
接着,从相位的角度出发,波数可理解为:相位随距离的变化率。因此将解缠后的相位对正交方向求偏导,可以得到空间波场各位置的波数取值,进而反映出导波在传播过程中波数的变化特性。Then, from the perspective of phase, wavenumber can be understood as: the rate of change of phase with distance. Therefore, the partial derivation of the unwrapped phase with respect to the orthogonal direction can obtain the wave number values at each position of the spatial wave field, and then reflect the wave number change characteristics of the guided wave during propagation.
具体地,在步骤S50中的空间波数信息包括空间各坐标点波数向量的模值;Specifically, the spatial wavenumber information in step S50 includes the modulus of the wavenumber vector of each coordinate point in space;
所述波数向量其中kx,ky分别为所述空间真实相位/>对两个正交方向的偏导,也即/> The wavenumber vector Where k x , ky are respectively the real phase of the space/> The partial derivatives in two orthogonal directions, that is, />
因此,空间波数信息 Therefore, the spatial wavenumber information
当Lamb波在不同厚度,不同材料的板中传播时,频散曲线揭示了波数与频率的关系,由于Lamb波的频散曲线仅与材料的频厚积相关,其频率-波数对应关系随板厚而变化,因此,可以利用求解出的空间波数与板厚的关系来确定经腐蚀下残余板的厚度,进而得到腐蚀深度,从而实现腐蚀损伤在深度方向上的量化。以分层损伤为例,在分层的位置,亚板块(一个由分层上部的板块和分层下部的板块组合而成)支撑着传播的Lamb波,检测的有效厚度为每个子板的厚度。换句话说,有效厚度就是这个由波场信息探测到的厚度,对于一个没有损伤的原始板,有效厚度相当于板的厚度;如果存在分层,那么通过波场反馈的有效厚度等于分层界面和扫查界面之间的厚度。如图4为2mm厚度铝板的频散曲线,步骤S60中根据不同厚度的板材的频散可以得到不同频率下板厚与波数的关系。When Lamb waves propagate in plates of different thicknesses and materials, the dispersion curve reveals the relationship between wavenumber and frequency. Since the dispersion curve of Lamb wave is only related to the frequency-thickness product of the material, its frequency-wavenumber correspondence varies with the Therefore, the relationship between the calculated spatial wavenumber and plate thickness can be used to determine the thickness of the corroded residual plate, and then obtain the corrosion depth, so as to realize the quantification of corrosion damage in the depth direction. Taking delamination damage as an example, at the position of the delamination, the subplate (a combination of the plate above the delamination and the plate below the delamination) supports the propagating Lamb wave, and the effective thickness of the detection is the thickness of each subplate . In other words, the effective thickness is the thickness detected by the wave field information. For an original plate without damage, the effective thickness is equivalent to the thickness of the plate; if there is delamination, the effective thickness fed back by the wave field is equal to the delamination interface and the thickness between the scanning interface. Figure 4 shows the dispersion curve of an aluminum plate with a thickness of 2mm. In step S60, the relationship between plate thickness and wave number at different frequencies can be obtained according to the dispersion of plates with different thicknesses.
优选地,步骤S70可根据板材的有效板厚信息从而揭示板材损伤的可读信息,可读信息包括损伤深度信息,方位及形态信息。Preferably, step S70 can reveal the readable information of damage to the board according to the effective thickness information of the board, and the readable information includes damage depth information, orientation and shape information.
本发明还提供了对于上述方法的仿真验证,本验证使用abaqus软件模拟导波的传播过程。设置的仿真铝板的长×宽×高尺寸分别为400mm×400mm×2mm,损伤形式为20×20mm方形腐蚀损伤,具体实现为一个尺寸20x20mm,深度为1mm的区域被设置为有限元节点的断开,这种缺陷代表了铝板中某块区域的堆叠缺乏融合。传感区域的左下角端点设置为坐标原点,传感区域覆盖由图中的坐标原点处移动到坐标(80,80)处经过的矩形区域。将腐蚀缺陷的中心点坐标设置为(45,40)。仿真模型的时间步进设置为1us,网格尺寸设置为1*1mm。用于建模的铝的材料特性如表1所示,其中E是杨氏模量,v代表泊松比,ρ代表材料密度。采用100khz作为主频的五波峰信号进行Lamb波激励,从图5中可以看出,Lamb波经过损伤区域时与损伤的相互作用。图5中显示了经过算法识别后的损伤呈像,可以看出在方形损伤区域波数值明显大于无损伤区域,将损伤的位置及形态较为准确的表现了出来。再将其展现为有效厚度显示,如图6所示,可以识别出损伤区域的有效厚度为1mm,非损伤区域的有效厚度在2mm,即与仿真预设的损伤深度及板厚基本重合。The present invention also provides a simulation verification of the above method, which uses abaqus software to simulate the propagation process of the guided wave. The length×width×height dimensions of the simulated aluminum plate are set to be 400mm×400mm×2mm, and the damage form is 20×20mm square corrosion damage. The specific realization is that an area with a size of 20x20mm and a depth of 1mm is set as the disconnection of the finite element node , this defect represents a lack of fusion of the stack in a certain area of the aluminum sheet. The lower left endpoint of the sensing area is set as the coordinate origin, and the sensing area covers the rectangular area that moves from the coordinate origin in the figure to the coordinate (80,80). Set the coordinates of the center point of the corrosion defect to (45,40). The time step of the simulation model is set to 1us, and the grid size is set to 1*1mm. The material properties of the aluminum used for modeling are shown in Table 1, where E is Young's modulus, v is Poisson's ratio, and ρ is the material density. The five-peak signal with 100khz as the main frequency is used for Lamb wave excitation. It can be seen from Figure 5 that the Lamb wave interacts with the damage when it passes through the damage area. Figure 5 shows the image of the damage identified by the algorithm. It can be seen that the wave value in the square damaged area is significantly larger than that in the non-damaged area, and the position and shape of the damage are more accurately displayed. Then display it as an effective thickness display, as shown in Figure 6, it can be recognized that the effective thickness of the damaged area is 1 mm, and the effective thickness of the non-damaged area is 2 mm, which basically coincides with the preset damage depth and plate thickness of the simulation.
表1Table 1
本发明还提供一种基于里兹变换的损伤检测系统,包括The present invention also provides a damage detection system based on Ritz transform, including
转换模块,通过所述转换模块将包含损伤信息的原始波场信号转换为频域波场信号,并选取主频对应的单频频域波场信号;A conversion module, through which the original wave field signal containing damage information is converted into a frequency domain wave field signal, and a single frequency frequency domain wave field signal corresponding to the main frequency is selected;
里兹变换模块,所述里兹变换模块用于对所述单频频域波场信号进行里兹变换,以获得与所述单频频域波场信号对应的复数域波场解析信号;A Ritz transform module, the Ritz transform module is used to perform Ritz transform on the single frequency frequency domain wave field signal to obtain a complex number domain wave field analysis signal corresponding to the single frequency frequency domain wave field signal;
相位求解模块,所述相位求解模块用于对所述复数域波场解析信号进行相位求解以获得所述单频频域波场信号的原始空间相位信息;A phase solving module, the phase solving module is used to perform phase solving on the complex number domain wave field analysis signal to obtain the original spatial phase information of the single frequency frequency domain wave field signal;
相位解缠模块,所述相位解缠模块用于对所述原始空间相位信息进行相位解缠,得到空间真实相位;A phase unwrapping module, the phase unwrapping module is used to perform phase unwrapping on the original spatial phase information to obtain the real spatial phase;
波数求解模块,所述波数求解模块用于对所述空间真实相位进行正交方向的偏导求解,得到空间波数信息;A wavenumber solving module, the wavenumber solving module is used to solve the partial derivative in the orthogonal direction for the real phase of the space to obtain the spatial wavenumber information;
板厚信息获取模块,所述板厚信息获取模块用于将所述空间波数信息与对应材料及频率的频散曲线进行对照,获取与所述空间波数信息对应的有效板厚信息;A plate thickness information acquisition module, the plate thickness information acquisition module is used to compare the spatial wavenumber information with the dispersion curve of the corresponding material and frequency, and obtain effective plate thickness information corresponding to the spatial wavenumber information;
可读信息获取模块,所述可读信息获取模块通过所述有效板厚信息得出所述损伤信息的可读信息,所述可读信息包括损伤深度信息。A readable information acquisition module, the readable information acquisition module obtains the readable information of the damage information through the effective plate thickness information, and the readable information includes damage depth information.
本发明还提供一种计算机可读存储介质,所述计算机可读存储介质存储有计算机指令,所述计算机被处理器执行时实现如上任一项所述的基于里兹变换的损伤检测方法。The present invention also provides a computer-readable storage medium, where computer instructions are stored in the computer-readable storage medium, and when the computer is executed by a processor, the damage detection method based on Ritz transformation as described in any one of the above items is realized.
综上所述,与现有技术相比,本发明提供的基于里兹变换的损伤检测方法,利用了解析信号表示的导波场所包含的丰富信息体现损伤信息。由里兹变换导出的解析信号用于获得重构导波场的空间方位、相位和振幅。并将相位在空间上对两个坐标求导得到空间波数矢量。通过里兹变换得到的空间波数矢量的大小表示控件每一点上指向传播方向的空间波数值。通过波场解析信号的相位信息,可以体现小强度散射和反射波场的信息,使得该方法能够使用于较为复杂的几何结构,结合算法以及Lamb波各自的优势,针对损伤的形态,位置进行评估,比较准确的得到损伤的深度信息。To sum up, compared with the prior art, the damage detection method based on the Ritz transform provided by the present invention utilizes the rich information contained in the guided wave field represented by the analytical signal to reflect the damage information. The analytical signal derived from the Ritz transform is used to obtain the spatial orientation, phase and amplitude of the reconstructed guided wave field. And deriving the phase with respect to the two coordinates in space to obtain the space wavenumber vector. The size of the spatial wavenumber vector obtained through the Ritz transformation represents the spatial wavenumber pointing to the propagation direction at each point of the control. The phase information of the signal is analyzed by the wave field, which can reflect the information of the small-intensity scattering and reflection wave field, so that the method can be used in more complex geometric structures, combined with the respective advantages of the algorithm and the Lamb wave, to evaluate the shape and position of the damage , to obtain the damage depth information more accurately.
具体实施时,计算机可读存储介质为磁碟、光盘、只读存储记忆体(Read-OnlyMemory,ROM)、随机存储记忆体(Random Access Memory,RAM)、快闪存储器(FlashMemory)、硬盘(Hard Disk Drive,缩写:HDD)或固态硬盘(Solid-State Drive,SSD)等;计算机可读存储介质还可以包括上述种类的存储器的组合。During specific implementation, the computer-readable storage medium is a magnetic disk, an optical disk, a read-only memory (Read-OnlyMemory, ROM), a random access memory (Random Access Memory, RAM), a flash memory (FlashMemory), a hard disk (Hard Disk) Disk Drive, abbreviation: HDD) or solid-state drive (Solid-State Drive, SSD), etc.; the computer-readable storage medium may also include a combination of the above-mentioned types of memory.
本发明还提供一种计算机设备,包括至少一个处理器、及与所述处理器通信连接的存储器,其中所述存储器存储可被至少一个处理器执行的指令,所述指令被至少一个处理器执行,以使所述处理器执行如上任一项所述的基于里兹变换的损伤检测方法。The present invention also provides a computer device, comprising at least one processor, and a memory communicatively connected to the processor, wherein the memory stores instructions executable by at least one processor, and the instructions are executed by at least one processor , so that the processor executes the Ritz transform-based damage detection method described in any one of the above.
具体实施时,处理器的数量可以是一个或多个,处理器可以为中央处理器,(Central Processing Unit,CPU)。处理器还可以为其他通用处理器、数字信号处理器(Digital Signal Processor,DSP)、专用集成电路(Application Specific IntegratedCircuit,ASIC)、现场可编程门阵列(Field-Programmable Gate Array,FPGA)或者其他可编程逻辑器件、分立门或者晶体管逻辑器件、分立硬件组件等芯片,或者上述各类芯片的组合。通用处理器可以是微处理器或者该处理器也可以是任何常规的处理器等。During specific implementation, the number of processors may be one or more, and the processor may be a central processing unit (Central Processing Unit, CPU). The processor can also be other general-purpose processors, digital signal processors (Digital Signal Processor, DSP), application-specific integrated circuits (Application Specific Integrated Circuit, ASIC), field-programmable gate arrays (Field-Programmable Gate Array, FPGA) or other possible Chips such as programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, or combinations of the above types of chips. A general-purpose processor may be a microprocessor, or the processor may be any conventional processor, or the like.
存储器与处理器可以通过总线或其他方式通信连接,存储器存储有可被至少一个处理器执行的指令,指令被至少一个处理器执行,以使处理器执行如上任一项所述的基于里兹变换的损伤检测方法。The memory and the processor can be communicated through a bus or other means, and the memory stores instructions that can be executed by at least one processor, and the instructions are executed by at least one processor, so that the processor performs the Ritz transform-based damage detection method.
另外,本领域技术人员应当理解,尽管现有技术中存在许多问题,但是,本发明的每个实施例或技术方案可以仅在一个或几个方面进行改进,而不必同时解决现有技术中或者背景技术中列出的全部技术问题。本领域技术人员应当理解,对于一个权利要求中没有提到的内容不应当作为对于该权利要求的限制。In addition, those skilled in the art should understand that although there are many problems in the prior art, each embodiment or technical solution of the present invention can only be improved in one or several aspects, and it is not necessary to solve the problems in the prior art or at the same time. All technical problems listed in the background technology. It should be understood by those skilled in the art that anything that is not mentioned in a claim should not be taken as a limitation on the claim.
尽管本文中较多的使用了诸如里兹变换、单频频域波场信号、原始波场信号、原始空间相位信息、相位解缠、空间真实相位、空间波数信息、有效板厚信息以及可读信息等术语,但并不排除使用其它术语的可能性。使用这些术语仅仅是为了更方便地描述和解释本发明的本质;把它们解释成任何一种附加的限制都是与本发明精神相违背的;本发明实施例的说明书和权利要求书及上述附图中的术语“第一”、“第二”、等(如果存在)是用于区别类似的对象,而不必用于描述特定的顺序或先后次序。Although in this paper, such as Ritz transform, single-frequency frequency domain wave field signal, original wave field signal, original spatial phase information, phase unwrapping, spatial real phase, spatial wavenumber information, effective plate thickness information and readable information are widely used. and other terms, but does not exclude the possibility of using other terms. These terms are only used to describe and explain the essence of the present invention more conveniently; interpreting them as any kind of additional limitation is against the spirit of the present invention; The terms "first", "second", etc. in the drawings, if present, are used to distinguish similar items and are not necessarily used to describe a specific order or sequence.
最后应说明的是:以上各实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述各实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分或者全部技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明各实施例技术方案的范围。Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present invention, rather than limiting them; although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that: It is still possible to modify the technical solutions described in the foregoing embodiments, or perform equivalent replacements for some or all of the technical features; and these modifications or replacements do not make the essence of the corresponding technical solutions deviate from the technical solutions of the various embodiments of the present invention. scope.
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Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
KR20050022585A (en) * | 2003-08-27 | 2005-03-08 | 학교법인조선대학교 | System for defect-detection in plate using a laser excitation typed lamb wave |
US7798000B1 (en) * | 2005-10-28 | 2010-09-21 | Trustees Of Boston University | Non-destructive imaging, characterization or measurement of thin items using laser-generated lamb waves |
CN104833323A (en) * | 2015-05-12 | 2015-08-12 | 中国科学院金属研究所 | Method for measuring the width of laser lapping welding seam by using reflected echo of S0 mode lamb wave |
CN106404911A (en) * | 2016-11-15 | 2017-02-15 | 哈尔滨工业大学 | True-time-delay single-mode Lamb wave phased array control system used for platy structure detection |
WO2019182782A1 (en) * | 2018-03-21 | 2019-09-26 | Zoox, Inc. | Generating maps without shadows |
CN111404553A (en) * | 2020-03-30 | 2020-07-10 | 北京工业大学 | Laser Lamb Wave Compressed Sensing Reconstruction Method Based on Adaptive Algorithm |
Family Cites Families (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20040171601A1 (en) * | 2002-07-31 | 2004-09-02 | Dai Fukumura | Photodynamic and sonodynamic therapy |
KR101503903B1 (en) * | 2008-09-16 | 2015-03-19 | 삼성전자 주식회사 | Apparatus and method for building map used in mobile robot |
US10444202B2 (en) * | 2014-04-16 | 2019-10-15 | Triad National Security, Llc | Nondestructive inspection using continuous ultrasonic wave generation |
-
2021
- 2021-10-29 CN CN202111274882.7A patent/CN114112921B/en active Active
Patent Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
KR20050022585A (en) * | 2003-08-27 | 2005-03-08 | 학교법인조선대학교 | System for defect-detection in plate using a laser excitation typed lamb wave |
US7798000B1 (en) * | 2005-10-28 | 2010-09-21 | Trustees Of Boston University | Non-destructive imaging, characterization or measurement of thin items using laser-generated lamb waves |
CN104833323A (en) * | 2015-05-12 | 2015-08-12 | 中国科学院金属研究所 | Method for measuring the width of laser lapping welding seam by using reflected echo of S0 mode lamb wave |
CN106404911A (en) * | 2016-11-15 | 2017-02-15 | 哈尔滨工业大学 | True-time-delay single-mode Lamb wave phased array control system used for platy structure detection |
WO2019182782A1 (en) * | 2018-03-21 | 2019-09-26 | Zoox, Inc. | Generating maps without shadows |
CN111404553A (en) * | 2020-03-30 | 2020-07-10 | 北京工业大学 | Laser Lamb Wave Compressed Sensing Reconstruction Method Based on Adaptive Algorithm |
Non-Patent Citations (1)
Title |
---|
基于超声Lamb波的双曲线定位损伤成像方法;韩伟等;《无损检测》;第第43卷卷(第第4期期);第46-50页 * |
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