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Structural parameter sensitivity analysis method based on complex variable function method

A technology of sensitivity analysis and structural parameters, applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as low accuracy and deviation, and achieve high calculation accuracy, simple and convenient application, and high efficiency.

Inactive Publication Date: 2018-07-24
SOUTHEAST UNIV
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Problems solved by technology

Sensitivity results may deviate, resulting in low precision

Method used

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  • Structural parameter sensitivity analysis method based on complex variable function method
  • Structural parameter sensitivity analysis method based on complex variable function method
  • Structural parameter sensitivity analysis method based on complex variable function method

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Embodiment Construction

[0020] like figure 1 As shown, a structural parameter sensitivity analysis method based on the complex variable function method includes the following steps:

[0021] (1) Select the structural parameter p to be calculated n Make a small disturbance, the disturbance amount is h (h=10 -6 ), then ih is the imaginary step size, p n +ih is the new plural variable.

[0022] (2) Write the finite element analysis program of the plate and shell structure, and implant the complex variable function method into the finite element program. After the virtual step is added to the structural parameters, the finite element structural response analysis is carried out in the complex space, and the objective function f(p n +ih).

[0023] (3) Based on the above objective function f(p n +ih), expand it according to Taylor series as follows:

[0024]

[0025] Neglecting higher-order terms, sorting out the real and imaginary parts, the sensitivity of the objective function to the structural...

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Abstract

The invention discloses a structural parameter sensitivity analysis method based on a complex variable function method. The structural parameter sensitivity analysis method comprises the following steps that (1), a structural parameter pn to be calculated is selected for small perturbation; (2), a structural finite element calculation program is written, the complex variable function method is implanted into the finite element program, and after the virtual step length is added to the structural parameter, an objective function f(pn+ih) of a structure is solved in the complex space; (3), basedon the objective function f(pn+ih), a first order partial derivative which is the sensitivity of the objective function is solved; (4), by parity of reasoning, when n is smaller than m, n is equal tothe sum of n and 1, and a sensitivity value of the (n+1) structural parameter is obtained; when n is equal to m, the m structural parameter variable is set as a complex variable, and throughthe finite element analysis program, the objective function f(pn+ih) of the structure is solved in the complex space; finally, the sensitivity of the m parameter is solved by the first order partial derivative of the objective function in step (3). The method can utilize the complex variable function method to obtain a high-precision sensitivity matrix of the objective function to structural parameters.

Description

technical field [0001] The invention relates to the technical field of optimization and design based on the finite element method, in particular to a structural parameter sensitivity analysis method based on the complex variable function method. Background technique [0002] The optimal design of structural systems is a common problem in engineering, especially in aviation, aerospace, thermal machinery and other aspects. Sensitivity analysis is an important content of optimal design, which reflects the derivative information of constraint function and objective function to design variables. In the study of dynamical inverse problems, in order to obtain structurally accurate dynamical models and identify structurally accurate dynamical parameters, it is first necessary to study the sensitivity method of structural parameters. [0003] An important reason why the optimization design technology based on the finite element method still has defects is that the design sensitivity...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/23
Inventor 费庆国陈素芳姜东朱锐曹芝腑秦福溶
Owner SOUTHEAST UNIV
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