复合材料双层锥壳与环板耦合结构振动特性研究

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摘要本文采用谱几何法对不同边界条件下复合材料双层锥壳与环板耦合结构的振动特性数学模型进行建立，采用改进傅里叶级数对位移容许函数进行设置。采用虚拟边界弹簧技术，通过设置三组线性弹簧和两组扭转弹簧模拟不同的边界条件。采用哈密尔顿原理，结合耦合结构连接处的连续性条件，对锥环耦合结构振动系统的特征方程进行推导，进而获得耦合结构的固有频率和振动响应。通过与有限元法得到的结果进行对比，验证本文方法的正确性。同时，开展了相关参数化研究，分析了不同参数对复合材料双层锥壳与环板耦合结构振动响应的影响情况。

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	史冬岩1
	张颖1
	2

关键词 ：耦合结构, 谱几何法, 复合材料, 固有特性, 振动响应

Abstract：In this paper, the mathematical model of the vibration characteristics of the coupled structure of composite double-layer conical shell and annular plate under different boundary conditions is established by the spectral geometry method, and the displacement tolerance function is set by the improved Fourier series. The virtual boundary spring technique is used to simulate various boundary conditions by setting three sets of linear springs and two sets of torsional springs. The Hamiltonian principle is used to derive the characteristic equations of the vibration system of the cone-ring coupled structure by combining the continuity conditions at the connection of the coupled structure, and then the natural frequency and vibration response of the coupled structure are obtained. The correctness of the method in this paper is verified by comparing with the results obtained by the finite element method. Meanwhile, a relevant parametric study is carried out to analyze the influence of varied parameters on the vibration response of the coupled structure of composite double-layer conical shell and ring plate.

Key words： coupled structure spectral geometry method composite laminated material inherent properties vibration response.

收稿日期: 2022-01-27 出版日期: 2023-06-28

引用本文:

史冬岩1，张颖1,2. 复合材料双层锥壳与环板耦合结构振动特性研究[J]. 振动与冲击, 2023, 42(12): 317-325.
SHI Dongyan1, ZHANG Ying1,2. A study on vibration characteristics of a composite double-layer conical shell and annular plate coupling structure. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(12): 317-325.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I12/317

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