CN110135040B - 3K planetary reducer reliability evaluation method based on neural network - Google Patents
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Abstract
本发明提出了一种基于神经网络的3K行星减速器可靠性评估方法。该方法从Monte Carlo仿真方法的角度出发,基于神经元结构对3K行星减速器系统零部件的失效属性进行定义,在此基础上基于神经网络结构建立无零部件简化的系统可靠性分层网络模型,然后考虑共因失效确定系统可靠性评估策略,最后建立与可靠性分层网络模型相匹配的Monte Carlo仿真方法。本发明减缓了利用传统可靠性评估方法在对3K行星减速器可靠性建模中简化带来的误差,避免了全概率模型方法在计算存在共因失效的机械系统可靠度时出现多重积分难以求解的问题,为设计人员在评估零部件数量大、结构复杂系统可靠性提供了依据,并提高了系统可靠性评估的准确性。
The invention proposes a reliability evaluation method of a 3K planetary reducer based on a neural network. From the perspective of Monte Carlo simulation method, the method defines the failure properties of the components of the 3K planetary reducer system based on the neuron structure, and then establishes a simplified system reliability hierarchical network model without components based on the neural network structure. , and then consider the common cause failure to determine the system reliability assessment strategy, and finally establish a Monte Carlo simulation method that matches the reliability hierarchical network model. The invention alleviates the error caused by the simplification in the reliability modeling of the 3K planetary reducer by using the traditional reliability evaluation method, and avoids the difficulty of solving multiple integrals when calculating the reliability of a mechanical system with common cause failure by the full probability model method. It provides a basis for designers to evaluate the reliability of a system with a large number of components and a complex structure, and improves the accuracy of system reliability evaluation.
Description
技术领域technical field
本发明涉及工程传动系统可靠性评估领域,具体是一种基于神经网络的3K行星减速器可靠性评估方法,可应用于航空航天等应用3K行星减速器的场合。The invention relates to the field of reliability evaluation of an engineering transmission system, in particular to a reliability evaluation method of a 3K planetary reducer based on a neural network, which can be applied to occasions where the 3K planetary reducer is applied such as aerospace.
背景技术Background technique
近些年来,3K行星减速器(K:中心轮)以其结构紧凑、重量轻、传动比大、效率高等优点被愈加频繁地应用于机械行业的各个领域。尤其是航空航天领域,3K行星减速器广泛应用于飞机的襟缝翼中,负责飞机在起飞与降落时打开襟缝翼,提高升力;在高空正常飞行时收回襟缝翼,以减小阻力。而飞机襟缝翼3K行星减速器中零部件众多、结构复杂、系统失效因素较多,而出于安全性方面的考虑对其可靠性的要求非常高。因此正确评估3K行星减速器的可靠性,对保证飞机安全平稳的起飞、巡航、降落起关键作用。In recent years, 3K planetary reducer (K: center wheel) has been more and more frequently used in various fields of the machinery industry due to its compact structure, light weight, large transmission ratio and high efficiency. Especially in the aerospace field, the 3K planetary reducer is widely used in the flaps and slats of the aircraft. It is responsible for opening the flaps and slats during take-off and landing to improve lift; retracting the flaps and slats during normal flight at high altitudes to reduce drag. However, in the 3K planetary reducer of aircraft flaps and slats, there are many parts, complex structure and many system failure factors, and its reliability is very high due to safety considerations. Therefore, the correct evaluation of the reliability of the 3K planetary reducer plays a key role in ensuring the safe and smooth take-off, cruise and landing of the aircraft.
目前,对3K行星减速器这种零件数量多,结构复杂的传动系统的可靠性评估方法主要有两种,一种是以可靠性试验为主体,通过大量试验统计得到可靠度值,另一种是以应力强度干涉理论和零部件串并联理论为主体的经典机械系统可靠性评估方法,通过应力强度干涉计算零部件可靠度,然后通过串并联理论计算系统可靠度。第一种方法由于3K行星减速器生产加工复杂,成本高、试验时间长,进行样本量大的试验,在时间和财力上都难以实现。第二种在实施过程中需要对系统进行大量简化,只保留引起系统失效的主要零部件,而这必然会导致可靠度计算值被高估,对航空航天设备或精密机械等高可靠性产品则存在一定风险,此外串并联模型方法假设零部件失效互相独立,而实际上以载荷为代表的共因失效广泛存在并会使可靠度计算值出现误差。因此,对3K行星减速器进行系统零部件无简化可靠性建模,以及考虑共因失效条件下开展可靠性评估,为更好的分析研究和提高3K行星减速器的可靠性,确保精密机械传动系统稳定可靠的工作具有重要的理论与现实意义。At present, there are two main methods for evaluating the reliability of the transmission system with a large number of parts and a complex structure, such as 3K planetary reducer. It is a classic mechanical system reliability evaluation method based on stress intensity interference theory and parts series-parallel theory. The reliability of parts is calculated through stress intensity interference, and then the system reliability is calculated through series-parallel theory. The first method is difficult to achieve in terms of time and financial resources due to the complex production and processing of 3K planetary reducer, high cost, long test time, and large sample size. The second type requires a lot of simplification of the system during the implementation process, and only retains the main components that cause the system to fail, which will inevitably lead to overestimation of the reliability calculation value. For high-reliability products such as aerospace equipment or precision machinery, There is a certain risk, in addition, the series-parallel model method assumes that the failures of components are independent of each other, but in fact the common cause failure represented by the load is widespread and will cause errors in the reliability calculation value. Therefore, the reliability modeling of the system components of the 3K planetary reducer is carried out without simplification, and the reliability assessment is carried out under the condition of common cause failure, in order to better analyze and improve the reliability of the 3K planetary reducer, and ensure the precision mechanical transmission. The stable and reliable work of the system has important theoretical and practical significance.
发明内容SUMMARY OF THE INVENTION
针对现有可靠性评估方法存在的缺陷,本发明提供一种基于神经网络的3K行星减速器可靠性评估方法,基于系统的失效模式,利用神经网络结构进行零部件失效定义,建立无零部件简化的系统分层可靠性模型,考虑系统存在的共因失效,从Monte Carlo仿真角度出发制订了3K行星减速器的可靠性仿真策略来对系统的可靠度进行预测,以利于下一步安排运维检修,提高系统运行的可靠性。Aiming at the defects of the existing reliability assessment methods, the present invention provides a reliability assessment method for 3K planetary reducer based on neural network. Based on the system layered reliability model, considering the common cause failure of the system, from the perspective of Monte Carlo simulation, a reliability simulation strategy of 3K planetary reducer is formulated to predict the reliability of the system, so as to facilitate the next arrangement of operation and maintenance. , improve the reliability of system operation.
本发明的技术方案为:The technical scheme of the present invention is:
所述一种基于神经网络的3K行星减速器可靠性评估方法,其特征在于:包括以下步骤:Described a kind of 3K planetary reducer reliability assessment method based on neural network is characterized in that: comprises the following steps:
步骤1:基于神经元结构对3K行星减速器每个零部件进行失效定义,所述失效定义包括三个属性,分别为输入属性、失效触发属性和输出属性;所述失效触发属性包括外部失效触发条件和内部失效触发条件;Step 1: Define the failure of each component of the 3K planetary reducer based on the neuron structure. The failure definition includes three attributes, namely input attribute, failure trigger attribute and output attribute; the failure trigger attribute includes external failure trigger conditions and internal failure triggering conditions;
步骤2:对每个零件进行失效定义后,确定每个零件的内部失效机制、外部失效机制和失效传播机制;Step 2: After defining the failure of each part, determine the internal failure mechanism, external failure mechanism and failure propagation mechanism of each part;
步骤3:基于神经网络主次结构,按照零部件之间的装配关系以及在动力传递过程中的重要度对3K行星减速器进行可靠性分层建模,得到可靠性网络图,可靠性网络图中共有Z层:其中第1层为3K行星减速器的核心部件,第2层为直接影响核心部件的次要零部件,第3层为直接影响次要零部件的零部件,依次类推,确定3K行星减速器中每个零部件的所属分层;对每一层的零部件按照动力传递方向建立指向顺序;Step 3: Based on the primary and secondary structure of the neural network, according to the assembly relationship between the components and the importance in the power transmission process, the reliability of the 3K planetary reducer is modeled in layers, and the reliability network diagram and reliability network diagram are obtained. There are Z layers in China: the first layer is the core components of the 3K planetary reducer, the second layer is the secondary components that directly affect the core components, the third layer is the components that directly affect the secondary components, and so on. The stratification of each component in the 3K planetary reducer; establish a pointing sequence for the components of each stratum according to the direction of power transmission;
步骤4:以3K行星减速器的故障率作为评估指标,初始化仿真次数N=1,并初始化系统累计安全次数n=0;Step 4: Take the failure rate of the 3K planetary reducer as the evaluation index, initialize the number of simulations N=1, and initialize the cumulative safety number of the system n=0;
步骤5:根据共因失效Monte Carlo仿真策略对失效共因进行统一抽样再传递到每一个零部件中,对非失效共因参数分别按照参数分布独立抽样;Step 5: According to the common cause failure Monte Carlo simulation strategy, the common cause of failure is uniformly sampled and then transferred to each component, and the non-failure common cause parameters are independently sampled according to the parameter distribution;
步骤6:根据每个零部件的内部失效触发和外部失效触发条件,按照第Z层,第Z-1层,第Z-2层,…第2层,第1层的顺序依次更新每一层的零部件状态Ti;零部件状态分为安全和失效两种状态;Step 6: According to the internal failure triggering and external failure triggering conditions of each component, update each layer sequentially in the order of layer Z, layer Z-1, layer Z-2,
步骤7:判断可靠性网络图的第1层中指向顺序的最后一个零部件是否失效,若没有失效则置系统状态变量k=1,表示系统安全,否则k=0,表示系统失效;Step 7: Determine whether the last component in the first layer of the reliability network diagram pointing to the sequence fails, if not, set the system state variable k=1, indicating that the system is safe; otherwise, k=0, indicating that the system has failed;
步骤8:更新仿真次数N=N+1和系统累计安全次数n=n+k;Step 8: Update the number of simulations N=N+1 and the cumulative number of safety systems n=n+k;
步骤9:判断仿真次数是否满足N<Num,Num表示设定的总仿真次数,若满足则返回步骤5继续迭代,否则终止程序并统计系统累积安全次数n,计算可靠度R=n/Num,失效率Y=1-R,将失效率与制定的故障概率进行比较,根据结果判定3K行星减速器运行状态。Step 9: Judging whether the number of simulations satisfies N<Num, Num represents the total number of simulations set, if so, return to
进一步的优选方案,所述一种基于神经网络的3K行星减速器可靠性评估方法,其特征在于:步骤1中,输入属性包括零部件的状态输入k、载荷F、振动x、扭矩T;输出属性指输出状态;外部失效触发条件表示与该零部件相连并且处于系统动力传递上一级的另一个零部件失效而导致该零部件无法接收系统动力的条件;内部失效触发条件表示该零部件自身的各个失效模式。A further preferred solution, the described a kind of 3K planetary reducer reliability evaluation method based on neural network, is characterized in that: in
有益效果beneficial effect
1.针对零部件数量庞大、零部件间关系复杂,难以用串并联方法建模的机械传动系统,创建基于神经网络结构的无零部件简化的复杂系统可靠性建模方法,使得所建立的可靠性模型具有较高的精确度。1. For the mechanical transmission system with a large number of components and complex relationships between components, which is difficult to model by the series-parallel method, create a reliability modeling method for complex systems without component simplification based on neural network structure, so that the established reliability is reliable. Sexual models have high accuracy.
2.从Monte Carlo方法出发,基于可靠度全概率模型,建立了共因失效MonteCarlo仿真策略,减缓了利用传统可靠性评估方法在对3K行星减速器可靠性建模中简化带来的误差,避免了全概率模型方法在计算存在共因失效的机械系统可靠度时出现多重积分难以求解的问题,使得系统可靠度计算的更加高效和精确。2. Starting from the Monte Carlo method and based on the full probability model of reliability, a Monte Carlo simulation strategy for common cause failure is established, which reduces the error caused by the simplification of the reliability modeling of the 3K planetary reducer by using the traditional reliability evaluation method, and avoids the The problem that multiple integrals are difficult to solve when calculating the reliability of mechanical systems with common cause failures by the full probability model method makes the system reliability calculation more efficient and accurate.
本发明的附加方面和优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the present invention will be set forth, in part, from the following description, and in part will be apparent from the following description, or may be learned by practice of the invention.
附图说明Description of drawings
本发明的上述和/或附加的方面和优点从结合下面附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and readily understood from the following description of embodiments taken in conjunction with the accompanying drawings, wherein:
图1为本发明方法流程图。Fig. 1 is the flow chart of the method of the present invention.
图2为零部件失效定义图。Figure 2 is a diagram of component failure definition.
图3为3K行星减速器传动结构简图。Figure 3 is a schematic diagram of the transmission structure of the 3K planetary reducer.
图4为3K行星减速器零部件装配图。Figure 4 is the assembly drawing of the parts of the 3K planetary reducer.
图5为包含核心零部件可靠性网络图。Figure 5 is a reliability network diagram including core components.
图6为包含次要零部件的可靠性网络图。Figure 6 is a reliability network diagram including minor components.
图7为包含所有零部件的可靠性网络图。Figure 7 is a reliability network diagram that includes all components.
具体实施方式Detailed ways
下面详细描述本发明的实施例,本实施例以大飞机缝翼3K行星减速器为例说明3K行星减速器可靠性评估方法的具体实施方式,描述的实施例旨在用于解释本发明,不能理解为对本发明的限制。The embodiments of the present invention are described in detail below. This embodiment takes a large aircraft slat 3K planetary reducer as an example to illustrate the specific implementation of the reliability evaluation method for a 3K planetary reducer. The described embodiments are intended to explain the present invention, and cannot It is construed as a limitation of the present invention.
如图1所示为本发明方法的流程图,本次所选大飞机缝翼3K行星减速器的传动结构简图如图3,从N3输入,N4输出,主轴输入转速nN3=1500r/min,输出力矩为Te=94.26N·m,设计寿命为2000h。本实施例中,对其结构进行分析,确定主要齿轮、轴等零部件的转速与承受载荷。缝翼3K减速器基本参数如表1。Figure 1 shows the flow chart of the method of the present invention. The transmission structure diagram of the 3K planetary reducer of the large aircraft slat selected this time is shown in Figure 3. Input from N3, output from N4, the input speed of the main shaft n N3 = 1500r/min , the output torque is T e =94.26N·m, and the design life is 2000h. In this embodiment, the structure is analyzed to determine the rotational speed and bearing load of the main gears, shafts and other components. The basic parameters of the slat 3K reducer are shown in Table 1.
表1缝翼3K行星减速器基本参数介绍Table 1 Introduction of basic parameters of slat 3K planetary reducer
已知总传动比输入转速nN3=1500r/min,结合附图3可以计算输入转矩、各个齿轮转速和啮合力。(本实施例重在解释本发明方法,此处输入转矩、各个齿轮转速和啮合力的计算过程均省略。)其中nN4=17.86r/min,nN5=1155.77r/min。Known total gear ratio The input rotational speed n N3 =1500r/min, the input torque, the rotational speed of each gear and the meshing force can be calculated in conjunction with FIG. 3 . (This embodiment focuses on explaining the method of the present invention, and the calculation process of input torque, rotational speed of each gear and meshing force is omitted here.) Among them, n N4 =17.86r/min, n N5 =1155.77r/min.
输入力矩:Input torque:
则:but:
Te=TN4=58.5Ta T e =T N4 =58.5T a
N3和N2啮合处法向切应力:Normal shear stress at the meshing of N3 and N2:
N1和N2啮合处法向切应力:Normal shear stress at the meshing of N1 and N2:
N4和N5啮合处法向切应力:Normal shear stress at the meshing of N4 and N5:
其中np为行星轮个数3。 Where np is the number of
步骤1:基于神经元结构对3K行星减速器每个零部件进行失效定义,所述失效定义包括三个属性,分别为输入属性、失效触发属性和输出属性;所述失效触发属性包括外部失效触发条件和内部失效触发条件;零部件失效定义示意图如图2。Step 1: Define the failure of each component of the 3K planetary reducer based on the neuron structure. The failure definition includes three attributes, namely input attribute, failure trigger attribute and output attribute; the failure trigger attribute includes external failure trigger Conditions and internal failure trigger conditions; the schematic diagram of component failure definition is shown in Figure 2.
输入属性包括零部件的状态输入k、载荷F、振动x、扭矩T;输出属性指输出状态;外部失效触发条件表示与该零部件相连并且处于系统动力传递上一级的另一个零部件失效而导致该零部件无法接收系统动力的条件;内部失效触发条件表示该零部件自身的各个失效模式。The input attributes include the state input k, load F, vibration x, and torque T of the component; the output attribute refers to the output state; the external failure triggering condition indicates that another component connected to the component and at the upper level of the system power transmission fails. The conditions that cause the component to fail to receive system power; internal failure triggering conditions represent the component's own failure modes.
本实施例中,输入属性均选为载荷,输出属性为零部件安全和失效两种状态。In this embodiment, the input attribute is selected as load, and the output attribute is two states of component safety and failure.
步骤2:对每个零件进行失效定义后,确定每个零件的内部失效机制、外部失效机制和失效传播机制。Step 2: After defining the failure of each part, determine the internal failure mechanism, external failure mechanism and failure propagation mechanism of each part.
本实施例中根据3K行星减速器的零部件(表2)与附图4对每个零件的内部失效机制、外部失效机制以及失效传播机制进行分析。In this embodiment, the internal failure mechanism, external failure mechanism and failure propagation mechanism of each part are analyzed according to the components of the 3K planetary reducer (Table 2) and FIG. 4 .
表2缝翼3K行星减速器零部件清单Table 2 Parts list of slat 3K planetary reducer
(1)10号(轴2,材料40CrNiMoA):轴2为功率输入轴,经过分析只受扭转切应力影响。(1) No. 10 (
外部失效触发机制:零件9、18、37失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:扭转切应力大于抗扭强度导致失效;Internal failure trigger mechanism: the torsional shear stress is greater than the torsional strength, resulting in failure;
失效传播机制:零件10失效将导致零件31失效。Failure propagation mechanism: Failure of
内部失效评估根据输入载荷Ta分布抽样和直径D的值,计算危险处最大应力与抗扭强度,比较大小后判定轴失效是否。其中:The internal failure evaluation is based on the distribution sampling of the input load T a and the value of the diameter D to calculate the maximum stress and torsional strength at the dangerous place, and then determine whether the shaft fails or not after comparing the magnitudes. in:
危险处最大应力Maximum stress at hazard
抗扭强度στ可根据《机械设计手册》相关章节查阅获取其分布,得:στ~N(576.34,86.452)。The torsional strength σ τ can be obtained by referring to the relevant chapters of the "Mechanical Design Manual" to obtain its distribution: σ τ ~N (576.34, 86.45 2 ).
(2)31号(齿轮N3,材料38CrMoAl),齿轮31为行星传动中的中心轮。(2) No. 31 (gear N3, material 38CrMoAl),
外部失效触发机制:零件10、16失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:包括齿面接触疲劳失效和齿根弯曲疲劳失效;Internal failure trigger mechanism: including tooth surface contact fatigue failure and tooth root bending fatigue failure;
失效传播机制:零件31失效将导致零件33失效。Failure Propagation Mechanism: Failure of
内部失效评估通过分别计算接触应力、弯曲应力,再和接触强度、弯曲强度进行比较,当两者强度都大于应力时判定齿轮安全,反之只要其中一个应力大于强度则判定齿轮失效。其中:The internal failure evaluation calculates the contact stress and bending stress respectively, and then compares them with the contact strength and bending strength. When the strength of both is greater than the stress, the gear is judged to be safe, otherwise, as long as one of the stresses is greater than the strength, the gear is judged to fail. in:
齿面接触应力Tooth contact stress
齿面接触强度Tooth contact strength
σHG=σHlimZNTZLZVZRZWZX σ HG =σ Hlim Z NT Z L Z V Z R Z W Z X
齿根弯曲应力tooth root bending stress
齿根弯曲强度Root bending strength
σFG=σFlimYSTYNTYδrelTYRrelTYX σ FG =σ Flim Y ST Y NT Y δrelT Y RrelT Y X
以上切向力Ft均已知,齿面接触应力、强度计算参数,齿面接触应力、强度计算参数可根据《机械设计手册》相关章节查阅获取其分布。The above tangential force F t is known, the contact stress and strength calculation parameters of the tooth surface, and the calculation parameters of the contact stress and strength of the tooth surface can be obtained by referring to the relevant chapters of the "Mechanical Design Manual" to obtain their distribution.
(3)33号(行星轴N2、N5),33号零件为行星轮轴,与齿轮N2、N5为一体,因此其失效包括了两个齿轮的失效。又因为该3K行星作动器包括三个行星轮,从贴近实际的角度出发将三个行星轮作为2/3表决系统处理。(3) No. 33 (planetary shafts N2, N5), the No. 33 part is a planetary wheel shaft, which is integrated with the gears N2 and N5, so its failure includes the failure of the two gears. And because the 3K planetary actuator includes three planetary gears, the three planetary gears are treated as a 2/3 voting system from a practical point of view.
外部失效触发机制:零件31、46失效将导致表决系统失效,零件29、30失效将导致行星轮失效并进行2/3表决;External failure trigger mechanism: the failure of
内部失效触发机制:包括齿轮N2、N5的齿面接触疲劳失效和齿根弯曲疲劳失效;Internal failure trigger mechanism: including tooth surface contact fatigue failure and tooth root bending fatigue failure of gears N2 and N5;
失效传播机制:表决系统失效将导致零件47失效。Failure Propagation Mechanism: Failure of the voting system will cause
行星轮N2、N5内部失效评估通过分别计算接触应力、弯曲应力,再和接触强度、弯曲强度进行比较,当两者强度都大于应力时判定齿轮安全,反之只要其中一个应力大于强度则判定齿轮失效。行星轮N2、N5的接触应力、接触强度、弯曲应力、弯曲强度计算过程与31号零件(齿轮N3)类似,在此不再展开说明。The internal failure evaluation of planetary gears N2 and N5 calculates the contact stress and bending stress respectively, and then compares them with the contact strength and bending strength. When the strength of both is greater than the stress, the gear is judged to be safe, otherwise as long as one of the stresses is greater than the strength, the gear is judged to fail. . The calculation process of the contact stress, contact strength, bending stress and bending strength of the planetary gears N2 and N5 is similar to that of the No. 31 part (gear N3), and will not be described here.
(4)47号(齿轮N1),齿轮N1行星传动中的内齿圈。(4) No. 47 (gear N1), the ring gear in the planetary transmission of gear N1.
外部失效触发机制:行星轮轴2/3表决系统失效将导致其失效;External failure trigger mechanism: failure of the
内部失效触发机制:包括齿面接触疲劳失效和齿根弯曲疲劳失效;Internal failure trigger mechanism: including tooth surface contact fatigue failure and tooth root bending fatigue failure;
失效传播机制:零件47失效将导致零件11失效。Failure Propagation Mechanism: Failure of
内部失效评估通过分别计算接触应力、弯曲应力,再和接触强度、弯曲强度进行比较,当两者强度都大于应力时判定齿轮安全,反之只要其中一个应力大于强度则判定齿轮失效。齿轮N1的接触应力、接触强度、弯曲应力、弯曲强度计算过程与31号零件(齿轮N3)类似,在此不再展开说明。The internal failure evaluation calculates the contact stress and bending stress respectively, and then compares them with the contact strength and bending strength. When the strength of both is greater than the stress, the gear is judged to be safe, otherwise, as long as one of the stresses is greater than the strength, the gear is judged to fail. The calculation process of the contact stress, contact strength, bending stress, and bending strength of the gear N1 is similar to that of the No. 31 part (gear N3), and will not be described here.
(5)11号(齿轮N4)。(5) No. 11 (gear N4).
外部失效触发机制:零件47号和34号失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:包括齿面接触疲劳失效和齿根弯曲疲劳失效。Internal failure trigger mechanism: including tooth surface contact fatigue failure and tooth root bending fatigue failure.
失效传播机制:零件11失效将导致零件4失效。Failure Propagation Mechanism: Failure of
内部失效评估通过分别计算接触应力、弯曲应力,再和接触强度、弯曲强度进行比较,当两者强度都大于应力时判定齿轮安全,反之只要其中一个应力大于强度则判定齿轮失效。齿轮11的接触应力、接触强度、弯曲应力、弯曲强度计算过程与31号零件(齿轮N3)类似,在此不再展开说明。The internal failure evaluation calculates the contact stress and bending stress respectively, and then compares them with the contact strength and bending strength. When the strength of both is greater than the stress, the gear is judged to be safe, otherwise, as long as one of the stresses is greater than the strength, the gear is judged to fail. The calculation process of the contact stress, contact strength, bending stress and bending strength of the
(6)4号(1号输出轴):零件4为1号输出轴轴,经过分析只受扭转切应力影响。(6) No. 4 (No. 1 output shaft):
外部失效触发机制:零件7、11失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:扭转切应力大于抗扭强度导致失效;Internal failure trigger mechanism: the torsional shear stress is greater than the torsional strength, resulting in failure;
失效传播机制:零件4失效将导致零件1失效。Failure propagation mechanism:
零件4内部失效评估过程与零件10(轴2)类似,在此不再展开说明。The internal failure evaluation process of
(7)1号(2号输出轴):零件1为2号输出轴轴,经过分析只受扭转切应力影响。(7) No. 1 (No. 2 output shaft):
外部失效触发机制:零件4、5、43、45失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:扭转切应力大于抗扭强度导致失效;Internal failure trigger mechanism: the torsional shear stress is greater than the torsional strength, resulting in failure;
失效传播机制:零件1失效将导致整个作动器失效。Failure Propagation Mechanism: Failure of
零件1内部失效评估过程与零件10(轴2)类似,在此不再展开说明。The internal failure evaluation process of
(8)9号、37号(轴承):轴承为标准件。(8) No. 9 and No. 37 (bearings): Bearings are standard parts.
外部失效触发机制:零件36、38、39失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:轴承为标准件并且是装配体,此次计算其可靠度可以通过额定寿命可靠度(出厂已知且为0.9)与作动器设计寿命之间的关系计算,因此其内部失效可以直接按照可靠度进行抽样;Internal failure trigger mechanism: the bearing is a standard part and an assembly. The reliability of this calculation can be calculated by the relationship between the rated life reliability (known at the factory and is 0.9) and the design life of the actuator, so its internal failure Sampling can be done directly according to reliability;
失效传播机制:零件9、零件37失效将导致零件10失效。Failure propagation mechanism: failure of
轴承内部失效评估过程如下:The internal failure assessment process of the bearing is as follows:
可靠度计算公式:Reliability calculation formula:
可根据3K行星减速器的设计寿命及轴承相关参数(可由《机械设计手册》获取)计算。It can be calculated according to the design life of the 3K planetary reducer and related parameters of the bearing (which can be obtained from the "Mechanical Design Manual").
(9)18号(轴承):轴承为标准件。(9) No. 18 (bearing): The bearing is a standard part.
外部失效触发机制:零件19、20、22、24、26失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:轴承为标准件并且是装配体,失效原因较为复杂,其可靠度可以通过额定寿命可靠度(出厂已知且为0.9)与作动器设计寿命之间的关系计算,因此其内部失效可以直接按照可靠度进行抽样;Internal failure trigger mechanism: the bearing is a standard part and an assembly, and the failure causes are more complicated. Its reliability can be calculated by the relationship between the rated life reliability (known at the factory and is 0.9) and the design life of the actuator, so its Internal failures can be sampled directly according to reliability;
失效传播机制:零件18失效将导致零件10失效。Failure Propagation Mechanism: Failure of
零件18内部失效评估过程与零件9(轴承)类似,在此不再展开说明。The internal failure evaluation process of
(10)16号(弹性挡圈):弹性挡圈为标准件。(10) No. 16 (retaining ring): The elastic retaining ring is a standard part.
外部失效触发机制:无;External failure trigger mechanism: none;
内部失效触发机制:弹性挡圈是一个标准件,主要用于限制齿轮的轴向窜动,在齿轮不受轴向力的情况下可靠性很高,可靠度可设为0.999,然后按照随机抽样的方法确定其在任意时刻的状态。Internal failure trigger mechanism: the retaining ring is a standard part, which is mainly used to limit the axial movement of the gear. The reliability is very high when the gear is not subjected to axial force. The reliability can be set to 0.999, and then random sampling method to determine its state at any time.
失效传播机制:零件16失效将导致零件31失效。Failure propagation mechanism: failure of
(11)29号(轴承):轴承为标准件。(11) No. 29 (bearing): The bearing is a standard part.
外部失效触发机制:无;External failure trigger mechanism: none;
内部失效触发机制:轴承为标准件并且是装配体,失效原因较为复杂,其可靠度可以通过额定寿命可靠度(出厂已知且为0.9)与作动器设计寿命之间的关系计算,因此其内部失效可以直接按照可靠度进行抽样;Internal failure trigger mechanism: the bearing is a standard part and an assembly, and the failure causes are more complicated. Its reliability can be calculated by the relationship between the rated life reliability (known at the factory and is 0.9) and the design life of the actuator, so its Internal failures can be sampled directly according to reliability;
失效传播机制:零件29失效将导致零件33失效。Failure propagation mechanism: Failure of
零件29内部失效评估过程与零件9(轴承)类似,在此不再展开说明。The internal failure evaluation process of
(12)30号(铜套)、34号(开槽长圆柱端紧定螺钉M5×6):可视为标准件。(12) No. 30 (copper sleeve), No. 34 (slotted long cylindrical end set screw M5×6): can be regarded as standard parts.
外部失效触发机制:无;External failure trigger mechanism: none;
内部失效触发机制:铜套、螺钉可靠性很高,可靠度可设为0.999,然后按照随机抽样的方法确定其在任意时刻的状态;Internal failure trigger mechanism: copper sleeves and screws are highly reliable, and the reliability can be set to 0.999, and then the state at any time is determined according to the method of random sampling;
失效传播机制:零件30失效将导致零件33失效,零件34失效将导致零件11失效。Failure propagation mechanism: failure of
(13)46号(行星架)(13) No. 46 (planet carrier)
外部失效触发机制:零件12、13、14、15、17、32失效将导致零件46失效;External failure trigger mechanism: failure of
内部失效触发机制:行星架本身可靠性很高,可靠度可设为0.999;然后按照随机抽样的方法确定其在任意时刻的状态;Internal failure trigger mechanism: the planet carrier itself is highly reliable, and the reliability can be set to 0.999; then determine its state at any time by random sampling;
失效传播机制:零件46失效将导致零件33失效。Failure propagation mechanism: Failure of
(14)7号(轴承):轴承为标准件。(14) No. 7 (bearing): The bearing is a standard part.
外部失效触发机制:零件8、40失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:轴承为标准件并且是装配体,失效原因较为复杂,其可靠度可以通过额定寿命可靠度(出厂已知且为0.9)与作动器设计寿命之间的关系计算,因此其内部失效可以直接按照可靠度进行抽样;Internal failure trigger mechanism: the bearing is a standard part and an assembly, and the failure causes are more complicated. Its reliability can be calculated by the relationship between the rated life reliability (known at the factory and is 0.9) and the design life of the actuator, so its Internal failures can be sampled directly according to reliability;
失效传播机制:零件7失效将导致零件4失效。Failure propagation mechanism: Failure of
零件7内部失效评估过程与零件9(轴承)类似,在此不再展开说明。The internal failure evaluation process of
(15)5号(花键套)、45号(垫片)(15) No. 5 (spline sleeve), No. 45 (gasket)
外部失效触发机制:无;External failure trigger mechanism: none;
内部失效触发机制:花键套、垫片本身可靠性很高,可将其可靠度设为0.999;然后按照随机抽样的方法确定其在任意时刻的状态;Internal failure trigger mechanism: The reliability of the spline sleeve and the gasket itself is very high, and its reliability can be set to 0.999; then determine its state at any time according to the method of random sampling;
失效传播机制:零件5、零件45失效将导致零件1失效。Failure propagation mechanism: failure of
(16)43号(轴承):轴承为标准件。(16) No. 43 (bearing): The bearing is a standard part.
外部失效触发机制:零件2、3、41、42、44失效将导致其失效;External failure trigger mechanism: failure of
内部失效触发机制:轴承为标准件并且是装配体,失效原因较为复杂,其可靠度可以通过额定寿命可靠度(出厂已知且为0.9)与作动器设计寿命之间的关系计算,因此其内部失效可以直接按照可靠度进行抽样;Internal failure trigger mechanism: the bearing is a standard part and an assembly, and the failure causes are more complicated. Its reliability can be calculated by the relationship between the rated life reliability (known at the factory and is 0.9) and the design life of the actuator, so its Internal failures can be sampled directly according to reliability;
失效传播机制:零件43失效将导致零件1失效。Failure Propagation Mechanism: Failure of
零件43内部失效评估过程与零件9(轴承)类似,在此不再展开说明。The internal failure evaluation process of
以上只展示了直接影响功率传递的关键零部件,以及作用在关键零部件上辅助进行功率传递的零部件(在此成为二级零部件),其余零件的失效触发机制和失效传播机制与以上分析类似。The above only shows the key components that directly affect the power transmission, and the components that act on the key components to assist in the power transmission (here called secondary components). The failure triggering mechanism and failure propagation mechanism of the remaining parts are the same as those analyzed above similar.
步骤3:基于神经网络主次结构,按照零部件之间的装配关系以及在动力传递过程中的重要度对3K行星减速器进行可靠性分层建模,得到可靠性网络图,可靠性网络图中共有Z层:其中第1层为3K行星减速器的核心部件,如输入轴、输出轴、中间传动轴、太阳轮、行星轮、内齿圈等,第2层为直接影响核心部件的次要零部件,如轴承、壳体、挡圈、套筒、花键套等,第3层为直接影响次要零部件的零部件,如行星架、螺钉、螺母、垫圈、端盖等,依次类推,确定3K行星减速器中每个零部件的所属分层。对每一层的零部件按照动力传递方向建立指向顺序;3K行星减速器第1层核心部件可靠性神经网络图中箭头代表动力传递方向同时也是失效传播方向,按照箭头指向顺序最后一个零部件的状态表征系统状态,即如果第1层中最后一个零部件失效没有触发,说明系统动力传递正常,系统安全,反之如果最后一个零部件失效被触发说明系统动力传递失败,系统失效;第2层、第3层、…、第Z层中箭头指向按照失效传播影响特性指向各自上一层中的零部件。Step 3: Based on the primary and secondary structure of the neural network, according to the assembly relationship between the components and the importance in the power transmission process, the reliability of the 3K planetary reducer is modeled in layers, and the reliability network diagram and reliability network diagram are obtained. There are Z layers in China: the first layer is the core components of the 3K planetary reducer, such as input shaft, output shaft, intermediate transmission shaft, sun gear, planetary gear, ring gear, etc., and the second layer is the second layer that directly affects the core components. The main parts, such as bearings, housings, retaining rings, sleeves, spline sleeves, etc., the third layer is the parts that directly affect the secondary parts, such as planet carriers, screws, nuts, washers, end caps, etc., in order By analogy, determine the layer to which each component in the 3K planetary reducer belongs. Establish a pointing sequence for the components of each layer according to the direction of power transmission; the arrow in the reliability neural network diagram of the core components of the first layer of the 3K planetary reducer represents the direction of power transmission and also the direction of failure propagation, and the arrow points to the order of the last component. The state represents the system state, that is, if the failure of the last component in the first layer is not triggered, it means that the power transmission of the system is normal and the system is safe. On the contrary, if the failure of the last component is triggered, it means that the power transmission of the system fails and the system fails; The arrows in
对于本实施例而言,从功率传递的角度,缝翼3K行星减速主要的功率传递零部件包括传动轴和齿轮,其缝翼3K行星减速器核心零部件可靠性网络图(第1层)如附图5所示,10为传动轴,31为齿轮N3,33为行星轮,即包括齿轮N2和齿轮N5,47为齿轮N1,11为齿轮N4,4为1号输出轴,1为2号输出轴。For this embodiment, from the perspective of power transmission, the main power transmission components of the slat 3K planetary reducer include transmission shafts and gears. The reliability network diagram (layer 1) of the core components of the slat 3K planetary reducer is as follows As shown in Figure 5, 10 is the transmission shaft, 31 is the gear N3, 33 is the planetary gear, that is, includes the gear N2 and the gear N5, 47 is the gear N1, 11 is the gear N4, 4 is the No. 1 output shaft, and 1 is No. 2. Output shaft.
直接作用在关键零部件上辅助进行功率传递的次要零部件属于缝翼3K行星减速器可靠性网络图的第二层,其包含次要零部件的可靠性网络图如附图6所示,其中7、9、18、29、37、43为轴承,16为挡圈,30为铜套,46为行星架,34为螺钉,5为花键套,45为垫片,35为壳体。The secondary components that directly act on the key components to assist in power transmission belong to the second layer of the reliability network diagram of the slat 3K planetary reducer, and the reliability network diagram including the secondary components is shown in Figure 6. 7, 9, 18, 29, 37, 43 are bearings, 16 are retaining rings, 30 are copper sleeves, 46 are planet carriers, 34 are screws, 5 are spline sleeves, 45 are gaskets, and 35 are housings.
按照上述的可靠络分成建模方法建立包含缝翼3K行星减速器所有零部件的可靠性网络图如附图7所示,具体各个序号代表的零部件名称、数量如表2。According to the above-mentioned reliable network segmentation modeling method, a reliability network diagram including all parts of the slat 3K planetary reducer is established as shown in Figure 7, and the names and quantities of the parts represented by the specific serial numbers are shown in Table 2.
步骤4:以缝翼3K行星减速器的故障率Y=0.0600作为评估指标,设定仿真总次数Num为105次,初始化仿真次数N=1,系统累计安全次数n=0。Step 4: Take the failure rate Y=0.0600 of the slat 3K planetary reducer as the evaluation index, set the total number of simulation times Num to 105 times, initialize the number of simulation times N=1, and the cumulative safety times of the system n=0.
步骤5:根据共因失效Monte Carlo仿真策略对失效共因进行统一抽样再传递到每一个零部件中,对非失效共因参数分别按照参数分布独立抽样。Step 5: According to the common cause failure Monte Carlo simulation strategy, the common cause of failure is uniformly sampled and then transferred to each component, and the non-failure common cause parameters are independently sampled according to the parameter distribution.
共因失效Monte Carlo仿真策略的制定利用共因失效系统可靠度全概率模型;The formulation of the Monte Carlo simulation strategy for common cause failure utilizes the full probability model of the reliability of the common cause failure system;
对于存在共因失效的串联系统,可靠度全概率模型可以表示为:For a series system with common cause failure, the reliability full probability model can be expressed as:
对于存在共因失效的并联系统,可靠度全概率模型可以表示为:For a parallel system with common cause failure, the reliability full probability model can be expressed as:
得到全可靠性全概率模型在处理共因失效问题时对产生失效共因的应力只进行一次积分,R代表系统可靠度,f(σ)代表广义应力分布密度函数,f(S)代表广义强度分布密度函数,p代表串联零件个数,q代表并联零件个数。共因失效Monte Carlo仿真策略利用全可靠性全概率模型在处理共因失效问题时的特点,在仿真时,对产生失效共因的应力只抽样一次。The full reliability full probability model is obtained. When dealing with the common cause failure problem, the stress that produces the common cause of failure is only integrated once, R represents the system reliability, f(σ) represents the generalized stress distribution density function, and f(S) represents the generalized strength Distribution density function, p represents the number of parts in series, q represents the number of parts in parallel. The Monte Carlo simulation strategy of common cause failure utilizes the characteristics of the full reliability full probability model in dealing with the common cause failure problem. During the simulation, the stress that produces the common cause of failure is only sampled once.
本实施例中根据制定的共因失效Monte Carlo仿真策略,把输入载荷Ta作为失效共因,对其分布进行Monte Carlo随机抽样,其次对受失效共因影响的齿轮、轴等零部件按照以上失效分析中失效评估方法在程序中进行应力与强度随机抽样,非失效共因参数按照以上失效分析中的失效评估方法在程序中进行分布独立抽样。In this embodiment, according to the Monte Carlo simulation strategy for common cause failure, the input load T a is taken as the common cause of failure, and Monte Carlo random sampling is performed on its distribution. The failure evaluation method in the failure analysis performs random sampling of stress and strength in the program, and the non-failure common cause parameters are distributed and independently sampled in the program according to the failure evaluation method in the failure analysis above.
步骤6:根据每个零部件的内部失效触发和外部失效触发条件,按照第Z层,第Z-1层,第Z-2层,…第2层,第1层的顺序依次更新每一层的零部件状态Ti;零部件状态分为安全和失效两种状态。Step 6: According to the internal failure triggering and external failure triggering conditions of each component, update each layer sequentially in the order of layer Z, layer Z-1, layer Z-2, ...
本实施例中根据每个零部件的内部失效触发和外部失效触发条件,按照附图7中第4层、第3层、第2层、第1层依次更新附图7中每一次零部件状态Ti,Ti=1表示第i个零部件安全,Ti=0表示第i个零部件失效。In this embodiment, according to the internal failure triggering and external failure triggering conditions of each component, the state of each component in FIG. 7 is sequentially updated according to the fourth layer, the third layer, the second layer, and the first layer in FIG. 7 . Ti, Ti=1 means the ith component is safe, and Ti =0 means the ith component fails.
步骤7:判断附图7第1层中箭头指向顺序最后一个零部件是否失效,即零件1的状态Ti是否为1;若零件1没有失效则置系统状态变量k=1,表示系统安全,否则k=0,表示系统失效。Step 7: Determine whether the last component in the sequence indicated by the arrow in the first layer of Fig. 7 fails, that is, whether the state Ti of
步骤8:更新仿真次数N=N+1和系统累计安全次数n=n+k。Step 8: Update the number of simulations N=N+1 and the number of times of safety accumulated by the system n=n+k.
步骤9:判断仿真次数是否满足N<Num,Num表示设定的总仿真次数,若满足则返回步骤5继续迭代,否则终止程序并统计系统累积安全次数n,计算可靠度R=n/Num,失效率Y=1-R,将失效率与制定的故障概率进行比较,根据结果判定3K行星减速器运行状态,合理安排运维检修。Step 9: Judging whether the number of simulations satisfies N<Num, Num represents the total number of simulations set, if so, return to
此次实施例计算的缝翼3K行星减速器的系统可靠度R=0.9526,失效率Y=0.0474。所得缝翼3K行星减速器的失效率是小于所要求的故障率,说明此阶段缝翼3K行星减速器处于安全状态。The system reliability of the slat 3K planetary reducer calculated in this embodiment is R=0.9526, and the failure rate Y=0.0474. The failure rate of the obtained slat 3K planetary reducer is less than the required failure rate, indicating that the slat 3K planetary reducer is in a safe state at this stage.
尽管上面已经示出和描述了本发明的实施例,可以理解的是,上述实施例是示例性的,不能理解为对本发明的限制,本领域的普通技术人员在不脱离本发明的原理和宗旨的情况下在本发明的范围内可以对上述实施例进行变化、修改、替换和变型。Although the embodiments of the present invention have been shown and described above, it should be understood that the above embodiments are exemplary and should not be construed as limiting the present invention, and those of ordinary skill in the art will not depart from the principles and spirit of the present invention Variations, modifications, substitutions, and alterations to the above-described embodiments are possible within the scope of the present invention without departing from the scope of the present invention.
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