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

计量
- 文章访问数: 1772
- HTML全文浏览量: 101
- PDF下载量: 549
- 被引次数: 0
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.

HTML全文

参考文献(14)

[1]	叶开沅,非均匀变厚度弹性力学若干问题的一般解,非均匀变厚度梁的弯曲,稳定和自由振动,兰州大学学报力学专号,1(1979),133-157.
[2]	Bleich H.H.,Approximate determination of the frequencies of ring stiffened cylindrical shell.sterreichisches Ingenieur-Archiv.,15(1961)1-4.
[3]	Baron,M.L.,Circular symmetric vibrations of infinitely long cylindrical shells with equidistant stiffeners,Journal of Applied Mechanics,23(1958),316-318.
[4]	Wah,T.,Circular symmetric vibrations of ring-stiffened cylindrical shells,Journal of Society of Industrial and Applied Mathemaths.12(1964),649-662.
[5]	Wah,T.,Flexural vibration of ring-stiffened cylindrical shells,Jonural of Sound and Vibration,3(1966),242-251.
[6]	Wah,T,and W.C.L Hu,Vibration analysis of stiffened cylinders including inter-ring motion,Journal of the Acousttcal Sociey of America,43(1968),1005-1016.
[7]	Forsberg,K.,Exact solution for natural frequencies of ring-stiffened cylinders,AIAA/ASME 10th Structures,Structural Dynamics and Materials Conference,New Orleans,Louisiana(1969),18-20.
[8]	Beskos,D.E.and J.B.Oates.Dynamic analysis of ring-stiffened circular cylindrical shells.Journal of Soand and Vibration 75(1981),1-15.
[9]	李龙元,环向加筋圆柱壳自由振动的摄动解,应用数学和力学,8,3(1987),277-285
[10]	Henshell,R.D.,B.K.Neale and G.B.Warburton,The natural frequencies of complex cylindrical shell structures,Applwattons of Experimental and Theoretical Structural Dynamics,1(1972).
[11]	Li Long-yuan and Loo Wen-da.Analyses of free vibration and response to turbulent wind of hyperbolic cooling towers with ring stiffeners,Part I,Theoretical analyses ring IASS.Japan(1986).
[12]	Flügge,W,,《壳体中的应力》,中国工业出版社(1965).
[13]	Rektorys,Karel,Variational Methods in Mathematics,Science and Engineering.Sec.ed.,D.Reidel Publishing Company,Holland(1980).
[14]	Dym,C.L.,Introduction to the Theory of Shell,Pergamon Press,New York(1974).