环向和纵向加肋非均匀大变形圆柱壳的自由振动<sup>*</sup>

叶开沅; 纪振义

环向和纵向加肋非均匀大变形圆柱壳的自由振动^*

叶开沅¹,
纪振义²

1.
兰州大学;
2.
安徽建筑工业学院

基金项目: * 国家教委科学基金

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出版历程
- 收稿日期: 1987-10-15
- 刊出日期: 1988-11-15

Free Vibration of Nonlinear Deformation Ring-and Stringer Stiffened Nonuniform Cylindrical Shell

Ye Kai-yuan¹,
Ji Zhen-yi²

1.
Lanzhou University, Lanzhou;
2.
Anhui Architectural Engineering Institute, Hefei

摘要

摘要: 环向和纵向加肋非均匀圆柱壳在航空,宇航等工业广泛运用,本文使用阶梯折算法得到了环向和纵向加肋非均匀大变形圆柱壳在任意边界条件下自由振动的一般解.问题最后归结为求解一个超越代数方程,这个方程可以用一个具体的解析表达式表示出来.文中还给出了收敛性证明和算例.算例表明,利用本文的方法,可得到满意的结果.

Abstract: Cylindrical shells stiffened with rings and stringers are used in many structural application with as pipes conveying fluids or gases and aerospace.In this paper, the eral solulin is obtained for free vibration of nonlinear deformation ring-and stringer-stiffened cylindrical shell with arbitrary boundary condition by step reduction method, Finally, it is only necessary to solve a nonlinearl gebraic equation.This equation is expressed as an analytic form.Its convergence is proved.Three numerical examples are given at the end of the paper which indicate that satisfactory results can he obtained by step reduction method.

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参考文献(14)

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