考虑弹性地基的正交双曲蜂窝夹层壳体自由振动分析  

Free vibration of orthogonal doubly-curved honeycomb shell considering elastic foundation

作　　者：倪臻 李旦望 夏烨 周凯 华宏星[2,3,4] NI Zhen;LI Danwang;XIA Ye;ZHOU Kai;HUA Hongxing(AECC Commercial Aircraft Engine Co.,Ltd.,Shanghai 200241,China;Institute of Vibration,Shock and Noise,Shanghai Jiao Tong University,Shanghai 200240,China;State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240,China;Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration(CISSE),Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]中国航发商用航空发动机有限责任公司,上海200241 [2]上海交通大学振动冲击噪声研究所,上海200240 [3]上海交通大学机械系统与振动国家重点实验室,上海200240 [4]上海交通大学高新船舶与深海开发装备协同创新中心,上海200240

出　　处：《振动与冲击》2022年第9期1-8,共8页Journal of Vibration and Shock

基　　金：国家重点研发计划(2018YFA0703300);国家科技重大专项(2017-II-0008-0022)。

摘　　要：给出了一种针对具有弹性地基的复杂形状蜂窝夹层壳体自由振动的半解析求解方法。基于一阶剪切理论并结合改进的Gibson公式,得到了正交双曲壳的运动学及动力学关系。通过对剪切因子进行修正并利用哈密顿原理,获得了系统在弹性地基约束下的自由振动控制方程,并利用改进傅里叶法对控制方程进行求解。数值算例表明,此方法具有较高的精度和计算效率;对蜂窝壳体的参数分析表明,系统固有频率随芯层厚度比的变化规律取决于弹性地基刚度,随蜂窝厚度比地增大而降低,随胞元角度及铺层方向的改变而波动变化。Here,a semi-analytical solving method for free vibration of complex shape honeycomb sandwich shell with elastic foundation was proposed.Based on the first-order shear deformation theory combined with the improved Gibson formula,kinematic and dynamic relations of orthogonal hyperbolic shell were obtained.By modifying shear factor and using Hamiltonian principle,free vibration governing equations of the system under constraint of elastic foundation were deduced,and these governing equations were solved using the improved Fourier method.Numerical examples showed that the proposed method has higher accuracy and computational efficiency;parametric analysis of the honeycomb shell reveals the variation law of the system’s natural frequencies versus core layer thickness ratio depends on stiffness of elastic foundation,decreases with increase in honeycomb thickness ratio,and fluctuates with changes of cell angle and ply direction.

关 键 词：正交双曲蜂窝夹层壳 自由振动 一阶剪切理论 弹性地基 

分 类 号：TB331[一般工业技术—材料科学与工程]