A Fast Sensitivity Analysis Method Based on Mass Effect

Abstract

The invention provides a fast sensitivity analysis method based on quality influence. The method includes constructing a speed admittance matrix, and the first m-order modal frequencies are obtained;adding the mass perturbation from the first node of the structure, the perturbed velocity admittance matrix is obtained by substituting the velocity admittance matrix into the matrix correction formula, identifying the frequency of the structure, obtaining the sensitivity of the structural modal frequency to the mass, changing the position of the mass perturbation point according to the node order, repeating the steps to obtain the corresponding sensitivity, so as to obtain the sensitivity of the whole structural modal frequency to the mass, and drawing the sensitivity curve. When the qualityof the structure is changed, By using the matrix transformation formula, the perturbed velocity admittance can be obtained only by numerical calculation of the initial velocity admittance informationwithout the finite element recalculation, which simplifies the calculation efficiency and makes it more convenient to realize the fast calculation method of sensitivity to mass based on velocity admittance, and has practical engineering significance.

Description

technical field [0001] The invention relates to a sensitivity analysis method, in particular to a sensitivity analysis method influenced by quality. Background technique [0002] Sensitivity analysis is a method to evaluate the rate of change of structural response characteristics due to changes in design variables or parameters. The research on the sensitivity of structural systems is also becoming more and more important, and it is one of the main research directions in the field of computational mechanics and structural engineering. [0003] In practical applications, the sensitivity analysis of structures plays an important role in structure optimization, reliability evaluation, and parameter identification. Methods can be divided into discrete methods and variational methods according to strategies. Traditional sensitivity analysis methods generally need to perform finite element calculations again under perturbation, especially when the structure has flexible characte...

AI Technical Summary

Problems solved by technology

The traditional sensitivity analysis method generally needs to recalculate the finite element calculation under perturbation, especially when the structure has flexible characteristics, when the number of finite elements is large, the calculation amount is large and the efficiency is low

Some working conditions need to measure the speed, so that the sensitivity analysis such as quality parameters can be performed based on the speed admittance information. If the traditional sensitivity calculation efficiency is low, it has become a practical engineering problem that needs to be solved urgently.

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