Three-dimensional mechanical modal simulation method based on hierarchical basis function

Abstract

The invention belongs to the technical field of three-dimensional mechanical vibration analysis numerical solution and relates to a three-dimensional mechanical modal simulation method based on a hierarchical basis function. Firstly, modeling is conducted on a target electronic device, displacement or stress boundary conditions are introduced for building a corresponding geometric structure model, and a tetrahedral mesh generation solution domain is adopted; secondly, by selecting the scalar hierarchical basis function, displacement is expanded in all meshes through the scalar hierarchical basis function, and a finite element equation of the target electronic device structure is obtained by means of the canonical variational principle; finally, the equation is solved to obtain a feature value and a feature vector, and vibration modal frequency and vibration mode are obtained through post-processing. Thus, the high-order basis function is quickly constructed, and high-precision numerical calculation results are obtained.

Description

Technical field [0001] The invention belongs to the technical field of numerical solution of three-dimensional mechanical vibration analysis, and relates to a three-dimensional mechanical modal simulation simulation method based on laminated basis functions. Background technique [0002] The use environment of electronic devices is often very harsh. For example, vibration during transportation on rugged roads, aircraft take-off, high-speed tanks, satellites and missiles in the ascent phase of gravity acceleration, etc., put forward very strict requirements on the mechanical strength of electronic devices. Mechanical performance is an important part of the reliability and stability of electronic devices, which directly affects whether the device can work normally. Therefore, it is necessary to optimize the mechanical performance of electronic devices. Modal analysis can obtain the vibration characteristics of electronic devices, which is an important part of its mechanical perform...

AI Technical Summary

Problems solved by technology

With the complexity of the analysis structure, the accuracy of low-order basis functions can no longer meet the requirements of designers, so it is necessary to construct high-order basis functions to realize finite element analysis

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