加筋圆柱壳的振动特性分析  

Vibration characteristics analysis of stiffened cylindri cal shell

作　　者：孟宪举[1] 张策[1] 卿光辉[2] 

机构地区：[1]天津大学机械工程学院机械设计系,天津300072 [2]天津大学机械工程学院力学系,天津300072

出　　处：《振动工程学报》2005年第1期36-40,共5页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目 (10 0 72 0 38) ;教育部博士点基金资助项目 (2 0 0 0 0 0 5 6 16 )

摘　　要：以一种半解析法为基础 ,分别独立地建立圆柱壳和加强筋的线性方程组。考虑到圆柱壳和加强筋连接界面上的应力和位移的连续性 ,联立圆柱壳和加强筋的方程 ;从而得到全结构的方程组 ,并获得求解固有频率的特征方程和振型方程。此方法主要优点是 :结构的转动惯性、剪切变形等因素都得到了考虑 ,而且不限制结构的圆柱壳厚度和加强筋的高度。本文的方法很容易被推广到加筋的复合材料或加筋的压电材料层合壳等问题。Based on a type of semi-analytical method, the linear equation sets of shell and stiffeners are established separately. The compatibility of displacements and stresses on the interface between the shell and the stiffeners is employed to derive the equation of the integrated structure, and then the characteristic equation on natural frequencies and mode shapes. The main advantages of the transverse shear deformation and rotary inertia are considered naturally, without any limit to the thickness of shell and the height of stiffener. The convergence studies of several numerical examples and results show that this method is reliable. This method can be easily developed to solve the corresponding problems of stiffened composite laminated shells and stiffened piezolaminated shells.

关 键 词：圆柱壳 线性方程组 转动惯性 特征方程 连续性 求解 压电材料 加筋 加强筋 剪切变形 

分 类 号：V258[一般工业技术—材料科学与工程] O343[航空宇航科学与技术—航空宇航制造工程]