摘要
采用谱几何法(Spectro-Geometric Method,SGM)构建了复杂边界条件/耦合条件下圆柱壳-环板耦合结构动力学特性预报模型,并分别对各自外在边界和二者之间的耦合边界进行建模。耦合边界通过设置具有线性刚度和旋转刚度的三维弹性耦合器模拟结构之间的各类耦合效应。圆柱壳和环板的振动位移容许函数被统一地描述为一种谱形式的改进三角级数。应用哈密尔顿原理从能量的角度推导耦合结构系统的特征方程。将此方法获得的结果与文献解及有限元结果进行对比,验证了分析模型的有效性。
In this study,the dynamic prediction model of an annular plate-cylindrical shell structure with complex boundary con-ditions and coupling conditions is constructed.The boundary conditions and coupling conditions are modeled respectively.The mechanical coupling effects for the plate-shell structure are described in terms of three-dimensional elastic couplers with both translational and rotational stiffness.The displacement admissible functions for the plate and shell structures are uniformly ex-pressed in spectral form as an improved trigonometric series expansion.Finally,the Hamilton's principle is employed to derive the characteristic equation of the structural system.The effectiveness of the presented method is verified by contrast with the results reported in the literature as well as those calculated with the finite element method(FEM).
作者
石先杰
李春丽
蒋华兵
SHI Xian-jie;LI Chun-li;JIANG Hua-bing(Institute of Systems Engineering,China Academy of Engineering Physics, Mianyang 621999, China)
出处
《振动工程学报》
EI
CSCD
北大核心
2018年第1期118-124,共7页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目(51505445)
中国工程物理研究院重点学科项目"计算固体力学"
关键词
结构振动
复杂边界条件
圆柱壳'耦合结构'普几何法
structural vibration
complex boundary conditions
circular cylindrical shell
coupled structure
spectro-geometric method (SGM)
作者简介
石先杰(1985-),男,博士,高级工程师。电话:(0816)2485467;E-mail:411shixj@caep.cn
