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复合单元法在变截面梁自由振动中的应用 I:数值模拟

omposite Element Method for the Free Vibration Analysis of Beams with Variable Cross-section

中文摘要英文摘要

对复合单元法理论进行简单介绍,并将其应用于多阶梯变截面和渐变截面梁自由振动问题的分析。在划分不同单元数目的情况下,对利用复合单元法(CEM)和有限单元法(FEM)以及其他理论方法所得的固有频率进行比较,进一步结合软件ANSYS解进行验证。结果表明:复合单元法具有计算效率高、精度高的优点。因此在结构动力分析中有一定应用前景。

brief introduction to composite element method (CEM) is given and it is used to analyze the free vibrations of beams with variable cross-section in this paper. Comparison is made for the results using the CEM, FEM and other analytical methods. It was further verified by the results from ANSYS software. The results show that the CEM has the advantages of computational efficiency and high accuracy. Thus, it has the potential for application in structural dynamic analysis.

王爽、刘亮、吕中荣、梁婉仪、谢瑾荣

力学工程基础科学

复合单元法自由振动变截面梁固有频率

composite element methodfree vibrationbeams with variable cross-sectionnatural frequencies

王爽,刘亮,吕中荣,梁婉仪,谢瑾荣.复合单元法在变截面梁自由振动中的应用 I:数值模拟[EB/OL].(2009-09-25)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200909-687.点此复制

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