求解圆柱壳稳态谐响应的微分求积单元法

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (16) : 158-163.

论文

求解圆柱壳稳态谐响应的微分求积单元法

姚熊亮，叶曦

作者信息 +

The application of DQEM to the cylindrical shells steady-state harmonic response

YAO Xiong-liang, YE Xi

Author information +

文章历史 +

摘要

本文以Donnell经典壳体振动微分方程为基础，研究微分求积单元法(DQEM)在圆柱壳稳态谐响应计算中的应用。研究结果表明：微分求积单元法可较为方便的处理多种边界条件；与有限元法相比，微分求积单元法直接面向问题的微分方程，可用较少的节点获得较高的计算精度，计算效率较高。本文结果可为微分求积单元法在结构动力响应问题求解中的应用提供参考。

Abstract

Based on the classical shell theory of Donnell’s, the application of DQEM about the cylindrical shells steady-state harmonic response was presented. The results show that DQEM is convenient to calculate the response with different boundary conditions. And with the comparison between FEM and DQEM, the latter is oriented to the differential equation of problem, and can obtain the sufficient calculation precision with the less nodes number, the computational efficiency is higher. The results in this article could provide reference for the research about the application of DQEM to the structure dynamic response.

导出引用

姚熊亮;叶曦. 求解圆柱壳稳态谐响应的微分求积单元法[J]. 振动与冲击, 2013, 32(16): 158-163

YAO Xiong-liang;YE Xi. The application of DQEM to the cylindrical shells steady-state harmonic response[J]. Journal of Vibration and Shock, 2013, 32(16): 158-163