Thin-wall section characteristic deformation identification method

Abstract

The invention discloses a thin-wall section characteristic deformation identification method, which comprises the following steps of: 1) constructing a thin-wall structure high-order model by considering section deformation, and deriving a control differential equation of a thin-wall structure by adopting a Hamiltonian principle; 2) solving the generalized eigenvalue of the control differential equation and a corresponding eigenvector by using a finite element method; 3) performing order reduction approximation processing on the feature matrix to identify the axial change mode of the basis function; and 4) orthogonally decomposing the feature vector into a component which is collinear with the axial change mode of the primary function to obtain a proportional relation between the componentand the axial change mode, and multiplying the original deformation mode by the corresponding proportionality coefficient to generate a new deformation mode. According to the method, numerical valueimplementation can be carried out in a simple and visual mode, the derived deformation mode has definite hierarchy and physical interpretability, the dynamic behavior of the thin-wall structure can betruly reflected, the calculation efficiency is greatly improved, and the calculation cost is reduced.

Description

technical field [0001] The invention relates to a thin-wall section feature deformation recognition method, which belongs to the field of dynamic analysis of thin-wall structures. Background technique [0002] The thin-walled structure is a structure composed of thin plates, thin shells and slender rods, which can bear large loads with less weight and less materials, and is widely used in various construction machinery. During the working process, thin-walled structures are prone to stretching, bending and other cross-sectional deformations due to external forces, which directly affect the performance of engineering equipment, and even threaten the safety of workers' lives and property. It is important to study the deformation of thin-walled structures. significance. At present, the method of establishing a one-dimensional model is often used for analysis of thin-walled structures, but the one-dimensional model considering the deformation of the section still has some defec...

AI Technical Summary

Problems solved by technology

At present, the method of establishing a one-dimensional model is often used for analysis of thin-walled structures, but the one-dimensional model considering the deformation of the section still has some defects in pattern recognition: the number of deformation modes used is too large, which makes the model more complicated and the calculation cost is high ; The deformation mode is difficult to apply to various geometries and boundary conditions

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