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CN112711804A - Method for analyzing wave isolation intensity of wall plate of high-lift device - Google Patents

Method for analyzing wave isolation intensity of wall plate of high-lift device Download PDF

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CN112711804A
CN112711804A CN202011611555.1A CN202011611555A CN112711804A CN 112711804 A CN112711804 A CN 112711804A CN 202011611555 A CN202011611555 A CN 202011611555A CN 112711804 A CN112711804 A CN 112711804A
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郑茂亮
侯瑞
郑洁
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Xian Aircraft Design and Research Institute of AVIC
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Abstract

本发明涉及结构强度分析技术领域，特别涉及一种增升装置壁板隔波强度分析方法。该方法包括：对增升装置壁板建立静力有限元模型，得到增升装置壁板的静态应力分析结果，根据应力分析结果，确定展向工作载荷和弦向工作载荷比值；对增升装置壁板的已知增生装置结构进行工程受力分析，依据工程受力分析结果和上述比值确定增升装置壁板的临界屈曲载荷大小；依据上述比值，进行结构屈曲模态分析，得到增升装置壁板的结构屈曲模式；依据结构屈曲模式和临界屈曲载荷大小，确定隔波构件布置在增升装置壁板的初步布置参数；依据初步布置参数采用有限元二次模态分析法，对隔波构件进行位置优化、构型优化及铺层参数优化。

Figure 202011611555

The invention relates to the technical field of structural strength analysis, in particular to a method for analyzing the wave isolation strength of a wall plate of a lifting device. The method includes: establishing a static finite element model for the wall plate of the increased lift device, obtaining a static stress analysis result of the wall plate of the increased lift device, and determining the ratio of the spanwise working load and the chordwise working load according to the stress analysis result; The known accretion device structure of the plate is subjected to engineering force analysis, and the critical buckling load of the wall plate of the increase device is determined according to the results of the engineering force analysis and the above ratio; according to the above ratio, the structural buckling modal analysis is performed to obtain the Structural buckling mode of the plate; according to the structural buckling mode and the critical buckling load, determine the initial arrangement parameters of the wave isolation member on the wall plate of the increase-lift device; Perform position optimization, configuration optimization and layer parameter optimization.

Figure 202011611555

Description

Method for analyzing wave isolation intensity of wall plate of high-lift device
Technical Field
The invention relates to the technical field of structural strength analysis, in particular to a method for analyzing the wave isolation strength of a wall plate of a high-lift device.
Background
The wallboard has large structure size, complex stress form, high stress level and large occupied structure weight proportion. The large structure size enables local structural instability to occur under low working load, the existing wall plate wave isolation calculation method is mainly determined by depending on engineering experience, and the stability design requirement of the existing structure cannot be met.
Disclosure of Invention
The purpose of the invention is as follows: the position optimization, the configuration and the size optimization of the wave-isolating component under the instability condition are carried out on the wall plate under the conditions of large size, large load and complex boundary, and finally the instability control design method of the wall plate under the complex stress state is obtained, so that the structural weight is effectively reduced.
The technical scheme is as follows:
a method for analyzing the wave isolation intensity of a wall plate of a high-lift device comprises the following steps:
establishing a static finite element model for the wall plate of the high-lift device to obtain a static stress analysis result of the wall plate of the high-lift device, and determining the ratio of the spanwise working load to the chordwise working load according to the stress analysis result;
carrying out engineering stress analysis on the known hyperplasia device structure of the high-lift device wall plate, and determining the critical buckling load of the high-lift device wall plate according to the engineering stress analysis result and the ratio;
according to the ratio, carrying out structural buckling mode analysis to obtain a structural buckling mode of the high lift device wall plate;
determining initial arrangement parameters of the wave isolation member arranged on the wall plate of the high lift device according to the structural buckling mode and the critical buckling load;
and (4) carrying out position optimization, configuration optimization and layering parameter optimization on the wave isolation component by adopting a finite element secondary modal analysis method according to the initial arrangement parameters.
Carrying out engineering stress analysis on the known hyperplasia device structure of the high-lift device wallboard, and determining the critical buckling load of the high-lift device wallboard according to the engineering stress analysis result and the ratio, wherein the method comprises the following steps:
because the wall plate of the high lift device bears the biaxial pressure load of the spanwise bending load and the chordwise bending load, the wall plate engineering of the high lift device is simplified into a biaxial pressure bearing rectangular flat plate under the condition of simple boundary;
calculating a bending stiffness coefficient matrix of the composite material according to the layering parameters of the composite material;
under the condition that the ratio is certain, calculating the double-axial-pressure-stressed rectangular flat plate axial-pressure buckling load, namely the critical buckling load;
Figure BDA0002869675410000021
wherein D is11、D22、D66The bending stiffness coefficient of the laminated plate is defined, m, n, the length of the plate, and the half wave number in the width direction, a and b are defined as the length and width of the plate, and Nx and Ny are flexural loads in both directions.
The wave-insulating member must satisfy the buckling condition:
(a) the sectional area of the wave-isolating component is larger than 40% of the area of the wall plate;
Amin＝0.4×A；
A、Aminthe sectional area of the wave-isolating member and the sectional area of the wall plate member.
(b) The wave isolation component meets the requirement of minimum moment of inertia and is later than the instability of the wallboard structure;
Figure BDA0002869675410000022
Iu、Iminthe moment of inertia and the minimum moment of inertia of the wave isolation component are pointed; d. t, he、ksThe distance between the struts, the thickness of the web plate, the distance between the strip centers of the upper and lower edges and the shear buckling coefficient;
(c) the instability stress of the wave isolation component is as follows:
Figure BDA0002869675410000023
D11、D66refers to the flexural rigidity coefficient, b, L, delta, sigma, of the laminateWIs a wave barrierWidth, length, thickness and working stress of the wave-isolating component.
(d) The working stress of the wave isolation component is smaller than the allowable strain;
(e) the wave-isolating component meets the requirement of the connection strength of the wall plate.
Adopting a finite element quadratic modal analysis method according to the primary arrangement parameters to carry out position optimization, configuration optimization and layering parameter optimization on the wave isolation component, and the method comprises the following steps:
carrying out integral static stress analysis on the high-lift device wall plate which is preliminarily provided with the wave isolation member;
taking out the parts which are possibly damaged by instability from the whole static stress analysis model, and establishing a local analysis model;
simulating a forced displacement elastic support boundary of a local 'analysis model' according to the analysis result of the overall static stress;
and carrying out buckling modal analysis on the local analysis model, and optimizing the position, the configuration form and the structural parameters of the wave isolation member according to the buckling analysis result.
Optimizing the position, the configuration form and the structural parameters of the wave isolation component according to the buckling analysis result, wherein the optimization comprises the following steps:
defining the configuration and the preliminary arrangement parameters of the wave-isolating component, and carrying out position optimization on the wave-isolating component on the local 'analysis model', namely selecting the position of the wave-isolating component with the maximum critical buckling load in different positions as a better position;
limiting the wave isolation member to be at a better position and preliminarily arranging parameters, and optimizing T-shaped and I-shaped configuration forms to obtain a better configuration form;
and limiting the wave isolation member to be at a better position, and carrying out the parameter optimization of the wave isolation member in a better configuration form to obtain the paving parameters meeting the instability condition.
Composite material bending rigidity coefficient matrix Dij；
Figure BDA0002869675410000031
Figure BDA0002869675410000032
In the formula, Qij、
Figure BDA0002869675410000033
θ、zk、zk-1The positive axis modulus of the main direction of the ply material, the off-axis modulus of a certain ply, the angle of the ply of the composite material, the z coordinate of the K-th layer and the z coordinate of the K-1 th layer are shown.
The preliminary arrangement parameters comprise a preliminary layering parameter, a height parameter and a thickness parameter.
A computer readable storage medium having stored thereon computer instructions which, when executed by a processor, implement the method of any of the above.
Has the advantages that: carrying out wall plate wave isolation instability control on a wall plate structure under the conditions of large size, large load and complex boundary; the position, the configuration and the size of the wave isolation component are optimized, and the weight of the wall plate structure is effectively reduced.
Drawings
FIG. 1 is a schematic view of a large size, high load, complex boundary wall panel construction;
FIG. 2 is a diagram of a rectangular flat plate under biaxial compression;
FIG. 3 is a static finite element model diagram of a wall panel structure;
FIG. 4 is a partial buckling "analytical model" finite element diagram;
FIG. 5 is a comparison graph of the optimization results of the positions of the wave-isolating members;
FIG. 6 is a comparison graph of the results of the wave-isolating member configuration optimization.
Detailed Description
A proliferation device structure is known, which comprises a main bearing part composite material laminated wall plate 1, a wall plate longitudinal supporting part 2 and a wall plate transverse supporting part 3, wherein the supporting parts are combined to form a closed structure form, as shown in figure 1.
(1) Carrying out engineering stress analysis on the structure shown in the figure 1, wherein the composite material laminated wall plate 1 bears biaxial pressure load under the action of spanwise bending and chordwise bending loads, and the engineering is simplified into a biaxial pressure stressed rectangular flat plate under the condition of simple boundary, and the stress form is shown in figure 2;
(2) the bending mode of the laminate is mainly related to the bending stiffness matrix of the composite material layer, and the bending stiffness coefficient Dij of the composite material is calculated;
Figure BDA0002869675410000041
Figure BDA0002869675410000042
Figure BDA0002869675410000043
Figure BDA0002869675410000044
Figure BDA0002869675410000045
Figure BDA0002869675410000046
Figure BDA0002869675410000047
in the formula, Qij,
Figure BDA0002869675410000048
θ、zk、zk-1The positive axis modulus of the main direction of the ply material, the off-axis modulus of a certain ply, the angle of the ply of the composite material, the z coordinate of the K-th layer and the z coordinate of the K-1 th layer are shown.
(3) Under the condition that the Nx/Ny ratio is certain, calculating the axial compression buckling load of the double-axial compression stressed rectangular flat plate
Figure BDA0002869675410000051
Wherein D is11、D22、D66The bending stiffness coefficient of the laminated plate is defined, m, n, the length of the plate, and the half wave number in the width direction, a and b are defined as the length and width of the plate, and Nx and Ny are flexural loads in both directions.
(4) Establishing a static finite element model for the composite laminated wallboard (namely the high-lift device wallboard) to obtain a stress analysis result of the wallboard 1, and obtaining a structural buckling mode according to ratios of spanwise working load/spanwise buckling load and chordwise working load/chordwise buckling load;
(5) arranging wave isolation members according to the structural buckling mode 4 and the buckling load size 3; the wave-insulating member must satisfy the buckling condition:
a) the sectional area of the wave-isolating component is larger than 40% of the area of the wall plate (between the two wave-isolating components);
Amin＝0.4×A
A、Aminthe sectional area of the wave-isolating member and the sectional area of the wall plate member.
b) The wave isolation component meets the requirement of minimum moment of inertia and is later than the instability of the wallboard structure;
Figure BDA0002869675410000052
Iu、Iminthe moment of inertia and the minimum moment of inertia of the wave isolation component are pointed; d. t, he、ksThe distance between the struts, the thickness of the web plate, the distance between the strip centers of the upper and lower edges and the shear buckling coefficient;
the instability stress of the wave isolation component is as follows:
Figure BDA0002869675410000053
D11、D66refers to the flexural rigidity coefficient, b, L, delta, sigma, of the laminateWThe width, length and thickness of the wave-isolating component and the working stress of the wave-isolating component are indicated.
c) The working stress of the wave isolation component is smaller than the allowable strain;
d) the wave isolation component meets the requirement of the connection strength of the wall plate;
(6) and carrying out strong-adaptability finite element secondary analysis on the simplified engineering analysis wave isolation component to obtain better wave isolation component position, configuration form and structure layering parameters.
a) The overall stress analysis of the overall structure is carried out, see fig. 3;
b) taking out the parts which are possibly damaged by instability, and establishing a local analysis model (see figure 4);
c) simulating the forced displacement elastic support boundary of the local 'analysis model' according to the overall stress result, and showing in figure 4;
d) and carrying out local buckling analysis on the local analysis model, and optimizing the position, the configuration form and the structural parameters of the wave isolation member according to the buckling analysis result.
Limiting the form of the wave-isolating component, optimizing the position, selecting different positions by using the finite element model shown in FIG. 4, and obtaining a wave-isolating component position 1 which is used for increasing the critical buckling load shown in FIG. 5 as a better position;
defining the position of the wave isolation member, and carrying out configuration form optimization: typical T-type, i-type wave-blocking building block results are shown in figure 6.
And limiting the position and the configuration form of the wave isolation member, and optimizing the parameters of the I-shaped wave isolation member to obtain the paving parameters meeting the instability condition.
A flap hyperplasia device of a certain type of airplane adopts a typical multi-ribbed composite laminated board structure, and the stability of the lower layer board at large size, large load and complex boundary is a prominent problem.
According to the engineering analysis result, the structure generates instability at about 40% of load, according to the engineering analysis result, the wave isolation member is arranged as a condition for controlling the instability of the wallboard, and through the position optimization, the structure configuration optimization and the structure parameter optimization of the wave isolation member, the weight of the wallboard structure is finally reduced by 19.5%, and the total weight of the structure is reduced by 12% as shown in table 1.
TABLE 1 results of wave-damping destabilizing element placement
Figure BDA0002869675410000061

Claims (8)

1.一种增升装置壁板隔波强度分析方法，其特征在于，包括：1. a method for analyzing the wave isolation strength of a wall plate of a lifting device, is characterized in that, comprises: 对增升装置壁板建立静力有限元模型，得到增升装置壁板的静态应力分析结果，根据应力分析结果，确定展向工作载荷和弦向工作载荷比值；A static finite element model is established for the wall plate of the hoisting device, and the static stress analysis results of the wall plate of the hoisting device are obtained. According to the stress analysis results, the ratio of the spanwise working load and the chordwise working load is determined; 对增升装置壁板的已知增生装置结构进行工程受力分析，依据工程受力分析结果和上述比值确定增升装置壁板的临界屈曲载荷大小；Carry out engineering force analysis on the known accretion device structure of the wall plate of the lifting device, and determine the critical buckling load of the wall plate of the lifting device according to the results of the engineering force analysis and the above ratio; 依据上述比值，进行结构屈曲模态分析，得到增升装置壁板的结构屈曲模式；According to the above ratio, the structural buckling modal analysis is carried out, and the structural buckling mode of the wall plate of the lifting device is obtained; 依据结构屈曲模式和临界屈曲载荷大小，确定隔波构件布置在增升装置壁板的初步布置参数；According to the buckling mode of the structure and the critical buckling load, determine the preliminary arrangement parameters of the wave isolation member arranged on the wall of the increased-lift device; 依据初步布置参数采用有限元二次模态分析法，对隔波构件进行位置优化、构型优化及铺层参数优化。According to the preliminary layout parameters, the finite element quadratic modal analysis method is used to optimize the position, configuration and layup parameters of the wave isolation components. 2.根据权利要求1所述的方法，其特征在于，对增升装置壁板的已知增生装置结构进行工程受力分析，依据工程受力分析结果和上述比值确定增升装置壁板的临界屈曲载荷大小，包括：2 . The method according to claim 1 , wherein the engineering force analysis is performed on the known accretion device structure of the wall plate of the lifting device, and the critical value of the wall plate of the lifting device is determined according to the results of the engineering force analysis and the above ratio. 3 . Buckling load magnitude, including: 由于增升装置壁板承受展向弯曲、弦向弯曲载荷双轴压载荷，将增升装置壁板工程简化为简支边界条件下的双轴压受力矩形平板；Since the wall plate of the hoisting device is subjected to biaxial compressive loads of spanwise bending and chordwise bending, the engineering of the hoisting device wall plate is simplified as a rectangular flat plate under biaxial compressive force under simply supported boundary conditions; 依据复合材料铺层参数，计算复合材料的弯曲刚度系数矩阵；Calculate the bending stiffness coefficient matrix of the composite material according to the layup parameters of the composite material; 在上述比值一定情况下，计算双轴压受力矩形平板轴压屈曲载荷，即临界屈曲载荷；In the case of a certain ratio above, calculate the axial buckling load of the rectangular plate under biaxial compression, that is, the critical buckling load;
Figure FDA0002869675400000011
Figure FDA0002869675400000011
 其中，D11、D22、D66是指层压板的弯曲刚度系数，m、n、板长度、宽度方向的半波数，a、b是指板的长度和宽度，Nx、Ny是指两个方向的屈曲载荷。Among them, D 11 , D 22 , D 66 refer to the bending stiffness coefficient of the laminate, m, n, the length of the board, the half-wave number in the width direction, a, b refer to the length and width of the board, Nx, Ny refer to two buckling load in the direction. 3.根据权利要求1所述的方法，其特征在于，隔波构件必须满足失稳条件：3. The method according to claim 1, wherein the wave isolation member must satisfy the instability condition: (a)隔波构件截面积大于壁板面积40％；(a) The cross-sectional area of the wave isolation member is 40% greater than that of the wall plate; Amin＝0.4×A；A min =0.4×A; A、Amin是指隔波构件截面积、壁板构件截面积；A, A min refers to the cross-sectional area of the wave isolation member and the cross-sectional area of the wall member; (b)隔波构件满足最小惯性矩要求，且晚于壁板结构失稳；(b) The wave isolation members meet the minimum moment of inertia requirements, and the instability is later than that of the wall plate structure;
Figure FDA0002869675400000021
Figure FDA0002869675400000021
 Iu、Imin指隔波构件惯性矩、最小惯性矩；d、t、he、ks是指支柱间距、腹板厚度、上下缘条形心间的距离、剪切屈曲系数；I u and I min refer to the moment of inertia and the minimum moment of inertia of the wave isolation member; d, t, he e and k s refer to the distance between the struts, the thickness of the web, the distance between the centroids of the upper and lower edge bars, and the shear buckling coefficient; (c)隔波构件失稳应力为：(c) The buckling stress of the wave isolation member is:
Figure FDA0002869675400000022
Figure FDA0002869675400000022
 D11、D66是指层压板的弯曲刚度系数，b、L、δ、σW是指隔波构件宽度、长度、厚度、隔波构件工作应力。D 11 and D 66 refer to the bending stiffness coefficient of the laminate, and b, L, δ, σ W refer to the width, length, thickness, and working stress of the wave-isolating member. (d)隔波构件工作应力小于许用应变；(d) The working stress of the wave isolation member is less than the allowable strain; (e)隔波构件满足壁板连接强度要求。(e) The wave isolation members meet the requirements of the connection strength of the wall panels. 4.根据权利要求1所述的方法，其特征在于，依据初步布置参数采用有限元二次模态分析法，对隔波构件进行位置优化、构型优化及铺层参数优化，包括：4. The method according to claim 1, characterized in that, using the finite element quadratic modal analysis method according to the preliminary arrangement parameters, to carry out position optimization, configuration optimization and layer parameter optimization of the wave isolation member, including: 对初步布置隔波构件的增升装置壁板进行整体静态应力分析；The overall static stress analysis is carried out on the wall plate of the lifting device where the wave isolation members are initially arranged; 从整体静态应力分析模型中取出可能失稳破坏的部位，建立局部“分析模型”；Take out the parts that may be unstable and fail from the overall static stress analysis model, and establish a local "analytical model"; 依据整体静态应力分析结果，模拟局部“分析模型”的强迫位移弹性支持边界；According to the overall static stress analysis results, simulate the forced displacement elastic support boundary of the local "analytical model"; 对局部“分析模型”进行屈曲模态分析，依据屈曲分析结果对隔波构件位置、构型形式、结构参数进行优化。The buckling modal analysis is carried out on the local "analytical model", and the position, configuration form and structural parameters of the wave isolation components are optimized according to the buckling analysis results. 5.根据权利要求4所述的方法，其特征在于，依据屈曲分析结果对隔波构件位置、构型形式、结构参数进行优化，包括：5. The method according to claim 4, wherein, according to the buckling analysis result, the position, configuration form and structural parameters of the wave isolation member are optimized, comprising: 限定隔波构件的构型及初步布置参数，对局部“分析模型”上隔波构件进行位置优化，即选取不同位置中临界屈曲载荷最大的隔波构件位置作为较优位置；The configuration and preliminary arrangement parameters of the wave isolation member are limited, and the position of the wave isolation member on the local "analytical model" is optimized, that is, the position of the wave isolation member with the largest critical buckling load in different positions is selected as the optimal position; 限定隔波构件处于较优位置和初步布置参数，进行T型、工型构型形式优化，得到较优构型形式；Limit the optimal position of the wave isolation member and initial arrangement parameters, and optimize the T-shaped and I-shaped configuration forms to obtain the optimal configuration form; 限定隔波构件处于较优位置，进行较优构型形式的隔波件参数优化，得到满足失稳条件的铺层参数。The wave-isolating member is limited to be in an optimal position, and the parameters of the wave-isolating member in the optimal configuration form are optimized to obtain the layup parameters that satisfy the instability condition. 6.根据权利要求2所述的方法，其特征在于，复合材弯曲刚度系数矩阵Dij；6. The method according to claim 2, wherein the composite material bending stiffness coefficient matrix D ij ;
Figure FDA0002869675400000031
Figure FDA0002869675400000031
 式中，Qij、
Figure FDA0002869675400000032
θ、zk、zk-1是指铺层材料主方向的正轴模量、某一铺层的偏轴模量、复合材料铺层角度、第K层的z坐标、第K-1层的z坐标。In the formula, Q ij ,
Figure FDA0002869675400000032
θ, z k , z k-1 refer to the positive axis modulus of the main direction of the laminate, the off-axis modulus of a certain layer, the angle of the composite layer, the z coordinate of the Kth layer, the K-1th layer z coordinate of . 7.根据权利要求1所述的方法，其特征在于，初步布置参数包括初步铺层参数、高度参数、厚度参数。7. The method according to claim 1, wherein the preliminary arrangement parameters include preliminary layup parameters, height parameters, and thickness parameters. 8.一种计算机可读的存储介质，其上存储有计算机指令，其特征在于，所述指令被处理器执行时实现权利要求1-7任一项所述的方法。8. A computer-readable storage medium on which computer instructions are stored, characterized in that, when the instructions are executed by a processor, the method of any one of claims 1-7 is implemented.
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