基于Flügge理论的功能梯度圆柱壳自由振动响应均匀化转换计算方法

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摘要基于Flügge理论方程，利用梯度材料和均匀材料物理性质和力学行为相似性，建立FGM圆柱壳固有频率解与参考均匀材料圆柱壳解之间解析转换关系，实现FGM圆柱壳力学行为均匀化转换计算。给出数值算例与前人结果比较，文末讨论了相关参数影响规律并对计算效率进行分析。本研究与已有计算方法比较，在保证计算精度基础上，应用便利性与计算效率有很大提高，可为非均匀结构力学行为分析提供新的探索途径。

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	杨萌
	李戎
	梁斌

关键词 ：圆柱壳；功能梯度材料；Flü, gge理论；波动法；固有频率；均匀化转换

Abstract：

Based on the Flügge theoretical equation, the physical properties and mechanical behavior similarity of the gradient material and the uniform material were used to establish the analytical transformation relationship between the FGM cylindrical shell natural frequency solution and the reference uniform material cylindrical shell solution, and the mechanical behavior of the FGM cylindrical shell is uniform.Comparing the numerical examples with the results of previous researchers, the influence law of related parameters was discussed at the end of the paper and the calculation efficiency was analyzed.Compared with the existing calculation methods, this study can greatly improve the convenience of the application and computational efficiency and provide a new exploration path for the behavior analysis of non-uniform structural mechanics.

Key words： cylindrical shells functionally graded materials (FGM) Flügge’s theory wave method natural frequency homogenization conversion

收稿日期: 2019-06-26 出版日期: 2020-12-15

引用本文:

杨萌，李戎，梁斌. 基于Flügge理论的功能梯度圆柱壳自由振动响应均匀化转换计算方法[J]. 振动与冲击, 2020, 39(24): 63-68.
YANG Meng，LI Rong，LIANG Bin. A homogenization transformation method for free vibration response of functionally graded cylindrical shells based on the Flügge theory. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(24): 63-68.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2020/V39/I24/63

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