A Stochastic Eigenvalue Analysis Method for Wing Structure Based on Probability Density Evolution

A probability density and wing structure technology, applied in design optimization/simulation, special data processing applications, geometric CAD, etc., can solve the problems of low calculation efficiency and difficulty in obtaining the probability density function of eigenvalues, so as to reduce the calculation time and shorten the Design cycle, the effect of improving computational efficiency

Active Publication Date: 2022-03-15
BEIHANG UNIV
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Problems solved by technology

[0004] The technical problem to be solved in the present invention is: Aiming at the problems of low calculation efficiency and difficulty in obtaining the probability density function of eigenvalues ​​in the traditional method for dealing with structural random eigenvalue problems, a random eigenvalue analysis method of wing structure based on probability density evolution is proposed

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  • A Stochastic Eigenvalue Analysis Method for Wing Structure Based on Probability Density Evolution
  • A Stochastic Eigenvalue Analysis Method for Wing Structure Based on Probability Density Evolution
  • A Stochastic Eigenvalue Analysis Method for Wing Structure Based on Probability Density Evolution

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[0069] Hereinafter, design examples of the present invention will be described in detail with reference to the accompanying drawings. It should be understood that the selected examples are only for illustrating the present invention, rather than limiting the protection scope of the present invention.

[0070] (1) Taking the HIRENASD wing structure as the object, establish a structural finite element model, such as figure 1 shown;

[0071] (2) Given the material property parameters of the wing structural element, as shown in Table 1;

[0072] Table 1 Wing structural material property parameters

[0073]

[0074] In Table 1, E is the modulus of elasticity, G is the shear model, μ is Poisson’s ratio, and ρ is the density;

[0075] (3) Select elastic modulus E and density ρ as uncertain parameters, subject to normal distribution, and its mean value and standard deviation are as shown in Table 2;

[0076] Table 2 Mean and standard deviation of material property parameters

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Abstract

The invention discloses a random eigenvalue analysis method of a wing structure based on probability density evolution, which belongs to the field of structure design. Fully consider the uncertain factors existing in large and complex structures, and use random methods to quantitatively characterize uncertain parameters under the condition of sufficient sample information. The finite element equation of the free vibration of the structure is established, transformed into a generalized eigenvalue problem through the modal coordinates, and the eigenvalue sensitivity is derived. On this basis, the eigenvalue probability density evolution equation is established, and the eigenvalue sensitivity is introduced into the equation, and the eigenvalue probability density evolution equation based on sensitivity analysis is obtained. The eigenvalue probability density evolution equation is simplified into a standard form by introducing new variables, and the eigenvalue probability density function is solved by using the finite difference method and the total variation reduction scheme. Numerical results show that the eigenvalue probability density function obtained by the method of the invention is in good agreement with the Monte Carlo method, and the calculation time can be greatly reduced.

Description

technical field [0001] The invention relates to the field of structural design, in particular to a method for analyzing random eigenvalues ​​of wing structures based on probability density evolution. Background technique [0002] Structural natural frequencies and eigenvalues ​​can give information that characterizes the dynamic characteristics of structures, especially low-order natural frequencies and eigenvalues, which are usually used to evaluate the dynamic stability of structures. At the same time, structural optimization considering natural frequencies and eigenvalues ​​is also promising in the field of structural design. Therefore, structural natural frequencies and eigenvalues ​​are usually regarded as important index parameters in structural design. Structural eigenvalue problems have received extensive attention since the 1980s. So far, a variety of methods for solving structural eigenvalues ​​have been proposed and have been successfully applied to practical eng...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/15G06F30/23
CPCG06F30/23G06F30/15Y02T90/00
Inventor 邱志平郑宇宁王晓军王磊祝博刘峰
Owner BEIHANG UNIV
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