摘要
以一阶剪切变形理论为基础,采用谱几何法对不同边界条件下复合材料双层球壳与环板耦合结构振动特性分析模型进行构建,其中采用人工虚拟弹簧技术模拟耦合结构的边界条件。根据耦合处的连接关系,通过布置耦合弹簧模拟器对子结构之间的耦合关系进行模拟。应用哈密顿原理对复合材料双层球壳与环板耦合结构的特征方程进行推导,对耦合结构的固有特性和稳态响应进行求解。将所得结果与有限元结果进行对比,验证了计算的正确性。分析了几何参数、材料参数对复合材料双层球壳与环板耦合结构振动响应的影响。
In this paper,the analytical model of the vibration characteristics for the composite double-layer spherical shell and annu⁃lar plate coupled structure under different boundary conditions is constructed using the spectral geometry method based on the firstorder shear deformation theory,and the boundary conditions of the coupled structure are simulated by the artificial virtual spring technique.The coupling relationship between the sub-structures is simulated by arranging the coupling spring simulator according to the connection relationship.The Hamiltonian principle is applied to derive the characteristic equations of the composite doublelayer spherical shell and annular plate coupled structure,and the inherent characteristics and steady-state response of the coupled structure are solved.The results obtained are compared with the results of finite element method to verify the correctness of the cal⁃culations.The effects of geometric parameters,material parameters on the vibration response of the composite double-layer spheri⁃cal shell and annular plate coupled structure are analyzed.
作者
史冬岩
张颖
何东泽
SHI Dong-yan;ZHANG Ying;HE Dong-ze(College of Mechanical and Electrical Engineering,Harbin Engineering University,Harbin 150001,China;College of Engineering,Heilongjiang Bayi Agricultural University,Daqing 163319,China)
出处
《振动工程学报》
EI
CSCD
北大核心
2024年第2期258-266,共9页
Journal of Vibration Engineering
基金
黑龙江省自然科学基金面上项目(E2016024)。
关键词
耦合结构
振动特性
复合材料双层球壳
环板
谱几何法
coupled structure
vibration characteristics
composite double-layer spherical shell
annular plate
spectral geometry