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加筋圆柱壳的振动特性分析
Vibration characteristics analysis of stiffened cylindri cal shell
【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。
【Abstract】 Based upon a type of semi-analytical method, the linear equation sets of shell and stiffeners are established separately. The compatibility of displa c ements and stresses on the interface between the shell and the stiffeners is emp loyed to derive the equation of the integralted structure, and then the characte ris tic equation on natural frequencies and mode shapes. The main advant ages are the transverse shear deformation and rotary inertia are considered natu rally, further more, without any limit to the thickness of shell and the height of stiffener. The convergence studies of several numerical examples and results show that present method is reliable. The method in this paper can be easily dev eloped to solve the corresponding problems of stiffened composite laminated shel ls, stiffened piezolaminated shell.
【Key words】 vibration characteristics; semi-analytical solution; stiffened cylind rical shell; stiffener; hamilton canonical equation;
- 【文献出处】 振动工程学报 ,Journal of Vibration Engineering , 编辑部邮箱 ,2005年01期
- 【分类号】O324
- 【被引频次】22
- 【下载频次】574