Wing structure stochastic-feature value analysis method based on probability density evolution

A wing structure and probability density technology, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve problems such as low calculation efficiency and difficulty in obtaining eigenvalue probability density functions

Active Publication Date: 2018-11-06
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 eigenv

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  • Wing structure stochastic-feature value analysis method based on probability density evolution
  • Wing structure stochastic-feature value analysis method based on probability density evolution
  • Wing structure stochastic-feature value analysis method based on probability density evolution

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Embodiment Construction

[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 wing structure stochastic-feature value analysis method based on probability density evolution, and belongs to the field of structure design. Uncertainty factors existing ina large complex structure are fully considered, and a stochastic method is utilized to quantitatively characterize uncertain parameters under a condition that sample information is sufficient. A finite-element equation of structure free-vibration is established, feature value analysis is transformed into a generalized feature value problem through modal coordinates, and feature value sensitivity is derived. A feature value probability density evolution equation is established on the basis thereof, and the feature value sensitivity is introduced into the equation to obtain a feature value probability density evolution equation based on sensitivity analysis. The feature value probability density evolution equation is reduced to a standard form through introducing new variables, and a finite-difference method and a total-variation-difference reduction format are employed to obtain a feature value probability density function by solving. Numerical results show that the feature value probability density function obtained by the method of the invention is in better agreement with a Monte Carlo method, and 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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IPC IPC(8): G06F17/50
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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