基于幂级数-波动法的功能梯度圆环板结构振动模型建立与特性研究

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (19) : 223-231.

论文

基于幂级数-波动法的功能梯度圆环板结构振动模型建立与特性研究

何东泽1, 2, 郭克凡1, 刘斯琪3, 黄世军1, 2, 李伟成1, 2

作者信息 +

Vibration characteristics analysis model for functionally graded annular platestructure built with power series-wave method

HE Dongze1,2, GUO Kefan1, LIU Siqi3, HUANG Shijun1,2, LI Weicheng1,2

Author information +

文章历史 +

摘要

提出一种可用于计算功能梯度圆环板结构在不同边界条件下振动特性的幂级数-波动法。基于一阶剪切变形理论框架，将位移函数设置为幂级数的形式，结合波动列式构建功能梯度圆环板结构振动特性分析模型。通过与有限元计算结果进行对比，验证所建立振动特性分析模型在固有频率、自由模态以及频率响应计算的正确性和准确性。以此为基础，开展参数化分析工作，研究了不同结构参数对不同边界条件下功能梯度圆环板结构固有频率和频率响应的影响情况。结果表明，基于本文提出的数值计算方法建立的功能梯度圆环板结构振动特性分析模型可行有效，不同结构参数对结构固有特性及频率响应均存在不同的影响规律和效果。

Abstract

A power series-wave based method which can be used to calculate the vibration characteristics of functionally graded annular plates under different boundary conditions is presented. Based on the theoretical framework of first-order shear deformation, the displacement function is set to the form of power series, combined with wave formulation to construct the vibration characteristic analysis model of functionally graded annular plate structure. Compared with the finite element calculation results, the correctness and accuracy of the established vibration characteristic analysis model in natural frequency, free mode and frequency response calculation are verified. On this basis, parametric analysis is carried out to study the influence of different structural parameters on the natural frequency and frequency response of functionally graded annular plate structure under different boundary conditions. The results show that the vibration characteristic analysis model of functionally graded annular plate structure based on the numerical calculation method proposed in this paper is feasible and effective, and different structural parameters have different effects on the natural characteristics and frequency response of the structure.

导出引用

何东泽1, 2, 郭克凡1, 刘斯琪3, 黄世军1, 2, 李伟成1, 2. 基于幂级数-波动法的功能梯度圆环板结构振动模型建立与特性研究[J]. 振动与冲击, 2024, 43(19): 223-231

HE Dongze1, 2, GUO Kefan1, LIU Siqi3, HUANG Shijun1, 2, LI Weicheng1, 2. Vibration characteristics analysis model for functionally graded annular platestructure built with power series-wave method[J]. Journal of Vibration and Shock, 2024, 43(19): 223-231

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