任意厚度叠层圆柱壳动力响应的状态变量法  

State variable method for the analysis of the dynamic response of laminated cylindrical shells with arbitrary thickness

作　　者：范家让[1] 盛宏玉[1] 

机构地区：[1]合肥工业大学土木建筑工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2004年第5期490-494,共5页Journal of Hefei University of Technology：Natural Science

摘　　要：基于三维弹性力学基本方程,通过引入状态空间理论,建立了叠层闭口柱壳在任意荷载作用下的状态方程,并给出在简谐荷载作用下动力响应问题的解析解。此解满足所有边界条件和层间连续条件,适合任意厚跨比。由于状态方程中的诸力学量正好是叠层壳的层间必须协调的应力和位移诸量,因此该文方法便于求解叠层结构。算例表明,利用该文方法可以方便地进行动力响应分析。Based on the fundamental equations of three-dimensional elasticity, the state equation is established for the thick laminated cylindrical shell subjected to arbitrary loads and an analytical solution of the dynamic response problem under the harmonic load is presented. The solution given satisfies all boundary conditions and continuity conditions between plies and is suitable for any ratios of thickness to span. Because all mechanical quantities appearing in the state equation are just the compatible quantities at the interfaces, the presented method is extremely convenient for solving the laminates. Numerical example illustrates that the presented method can be used to analyze the dynamic response problem easily.

关 键 词：叠层圆柱壳 状态方程 动力响应分析 解析解 

分 类 号：O343.8[理学—固体力学]