一种含裂纹变厚度板结构振动响应半解析计算方法

By dividing the variable thickness plate structure into cracked and crack-free regions, and using a combination of finite element and analytical wave methods, a dynamic equilibrium equation was established, which solved the problem of low computational efficiency of traditional methods and enabled efficient analysis of the impact of crack defects on the vibration characteristics of the structure.

CN122154349BActive Publication Date: 2026-07-17CHINA AIRPLANT STRENGTH RES INST +1

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
CHINA AIRPLANT STRENGTH RES INST
Filing Date
2026-05-07
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

There is a lack of efficient calculation methods in the current technology to analyze the vibration characteristics of cracked variable thickness plate structures, especially inclined crack plate structures. The traditional finite element method has low calculation efficiency, while analytical methods cannot handle the inclined crack condition.

Method used

The cracked variable thickness plate structure is divided into cracked and crack-free regions. The finite element method is used to describe the vibration of the cracked region, and the analytical wave method is used to describe the crack-free region. The structure is discretized into multiple segments along the thickness variation direction. The structural dynamic equilibrium equation in wave space is established. Combining displacement continuity and internal force equilibrium conditions, the dynamic equilibrium equation is assembled, and the amplitude of each order of elastic wave is solved.

Benefits of technology

It significantly reduces the computational load and improves computational efficiency, enabling efficient study of the impact of crack defects on structural vibration characteristics and simplifying parametric analysis.

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Abstract

本发明公开了一种含裂纹变厚度板结构振动响应半解析计算方法,属于工程结构缺陷计算分析领域,包括:将含裂纹变厚度板结构划分为裂纹区域和无裂纹区域,将裂纹区域的振动采用有限元进行描述,无裂纹区域采用解析波进行描述;将无裂纹区域沿厚度变化方向离散为多个部段,每个部段的振动采用解析波进行描述;基于不同部段在耦合时的兼容关系和结构边界条件,建立波空间下的结构动力平衡方程;求解结构动力平衡方程得到各阶弹性波的波幅,并基于弹性波理论得到含裂纹变厚度板结构中各部段的振动响应。本发明解决了现有方法计算效率低下的问题。
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