Data processing method, device and storage medium for multi-degree-of-freedom system

Abstract

The invention discloses a data processing method, device, storage medium and computer equipment for a multi-degree-of-freedom system, and relates to the field of nonlinear analysis of engineering structures of multi-degree-of-freedom systems. The methods include: obtaining the cubic nonlinear coupling vector characteristics of the dynamic model in the multi-degree-of-freedom system; obtaining the element characteristics required to generate nonlinear stiffness matrix information based on the cubic nonlinear coupling vector characteristics; generating nonlinear stiffness based on the element characteristics matrix information. Compared with traditional methods, this method greatly improves the accuracy of extracting nonlinear stiffness matrix information, thereby improving the accuracy of nonlinear analysis of engineering structures during practical engineering applications, and thus providing guarantee for the study of dynamic behavior of engineering structures. , which has very important application significance for multi-scale analysis and nonlinear finite element analysis of complex structures.

Description

technical field [0001] The invention relates to the field of nonlinear analysis of engineering structures of multi-degree-of-freedom systems, in particular to a data processing method, device, storage medium and computer equipment of multi-degree-of-freedom systems. Background technique [0002] In the practical application of many engineering problems, the dynamic model can be expressed as This model is also a general representation of multi-degree-of-freedom nonlinear systems. Among them, M is the mass matrix, C is the damping matrix, K is the stiffness matrix, F is the external excitation, x is the generalized coordinate, '·' represents the derivative with respect to time, and R(x) represents the cubic nonlinear coupling term. [0003] For the cubic nonlinear coupling term R(x) in the above equation, it is usually expected to be written in the form of R(x)=Q(x)x, where Q(x) represents the nonlinear stiffness matrix. This conversion method is of great significance to th...

AI Technical Summary

Problems solved by technology

[0004] However, in the existing methods of converting cubic nonlinear coupling vectors into nonlinear stiffness matrices and generalized coordinate products, the extraction of nonlinear stiffness matrices has always had problems of multiple solutions and improper extraction, and for different engineering structures, there are still It is necessary to change and adjust the extraction method of the nonlinear stiffness matrix, which also increases the difficulty and uncertainty of the extraction of the nonlinear stiffness matrix, and once the extraction result of the nonlinear stiffness matrix is ​​improper, it will cause the analysis results of the nonlinear system of the engineering structure Distortion problem

Images