摘要
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3组线性弹簧和2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,验证该方法的正确性。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。
In this paper,the mathematical model of the vibration characteristics of a coupled structure of composite a double-layer conical shell and an annular plate under different boundary conditions was established by the spectral geometry method,and the displacement tolerance function was set by the improved Fourier series.The virtual boundary spring technique was used to simulate various boundary conditions by setting three sets of linear springs and two sets of torsional springs.The Hamiltonian principle was 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 were obtained.The correctness of the method in this paper was verified by comparing with the results obtained by the finite element method.Meanwhile,a relevant parametric study was carried out to analyze the influence of varied parameters on the vibration response of the coupled structure of the composite double-layer conical shell and the ring plate.
作者
史冬岩
张颖
SHI Dongyan;ZHANG Ying(College of Mechanical And Electrical Engineering,Harbin Engineering University,Harbin 150001,China;College of Engineering,Heilongjiang Bayi Agricultural University,Daqing 163319,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2023年第12期317-325,共9页
Journal of Vibration and Shock
基金
黑龙江省自然科学基金(U1430236)。
关键词
耦合结构
谱几何法
复合材料
固有特性
振动响应
coupled structure
spectral geometry method
composite laminated material
inherent properties
vibration response.
作者简介
第一作者:史冬岩,女,博士,教授,博士生导师,1965年生。
