初始缺陷和拉-弯耦合对于叠层板的振动、屈曲和非线性动力稳定性的影响

王列东; 刘正宁; 周承倜

初始缺陷和拉-弯耦合对于叠层板的振动、屈曲和非线性动力稳定性的影响

大连大学, 大连 116622

基金项目: 辽宁省科学技术基金

详细信息

作者简介:
王列东(1956~ ),男,副教授,系主任.

中图分类号: O342
计量
- 文章访问数: 2233
- HTML全文浏览量: 118
- PDF下载量: 741
- 被引次数: 0
出版历程
- 收稿日期: 1997-06-09
- 修回日期: 1998-12-18
- 刊出日期: 1999-05-15

Influence of Initial Imperfection and Coupling Between Bending and Extension on Vibration, Buckling and Nonlinear Dynamic Stability of Laminated Plates

Dalian University, Dalian 116622, P R China

摘要

摘要: 研究了复合材料叠层板的初始缺陷和拉伸-弯曲耦合对于其振动、屈曲和非线性动力稳定性的影响.推导了控制方程.这是一个修正的非线性Mathieu方程.进行了5种典型复合材料的数值计算,它们是玻璃环氧Scotch-1002,芳纶环氧Kevlar-49,硼环氧B4/5505,石墨环氧T300/5208,和AS/3501.结果表明：由于初始缺陷耦合效应的存在,使叠层板对于进入参数共振更加敏感,并且其振幅大于无初始缺陷或者无耦合效应的叠层板.对于不同复合材料的叠层板,尤其是层数较少的板,耦合效应是不相同的.在板结构的屈曲和动力稳定性设计中,如果忽略了耦合效应的影响,其不安全性将超过10%以上.
- 初始缺陷 /
- 耦合效应 /
- 非线性动力稳定性
Abstract: In this paper,the influence of initial imperfection and coupling between bending and extension on vibration,buckling and nonlinear dynamic stability of laminated plates is studied.The governing equation is derived.It is a nonlinear modified Mathieu Equation.Numerical solutions of 5 typical composite materials namely,Scotch-1002,Kevlar-49,B4/5505,T300/5208 and AS/3501 are computed. Results reveal that the existence of initial imperfection and coupling effect,make plates much more sensitive to entering parametric resonance with amplitude greater than that of perfect plates.Coupling effect for different laminates,especially,for that with few layers,is different.If coupling effect is neglected,design of plate structures for buckling and dynamic stability would be unconservative for more than 10%.
- initial imperfection /
- coupling effect /
- nonlinear dynamic stability

HTML全文

参考文献(10)

[1]	Birman V.Dynamic stability of thick rectangular plates[J].Mechanics Research Communication,1987,14(1):37～42.
[2]	Srinivasan R S,Chellapandi P.Dynamic stability of rectangular laminated composite plates[J].Computers and Structures,1986,24(2):233～238.
[3]	Bert C W,Birman V.Dynamic instability of shear deformable anti-symmetric angle-ply plates[J].International Journal of Solid Structures,1987,23(7):1053～1061.
[4]	Zhou Chengti,Wang Litung,Jia Hongyu.The influence of transverse shear and rotational inertia on the dynamic instability of laminated composite plates[A].In:The Seventh International Conference on Composite Materials,(ICCM-7)[C],Nov,22～24,1989,Guangzhou,China.Proceedings Vol.Oxford,New-York,Beijing,Tokyo,Frankfurt,Sydney,Toronto,Sao Paulo:Published by Pergamon Press Co.455～462.
[5]	Zhou Chengti,Buckling,vibration,and dynamic stability of ARALL plates[A].The Ninth International Conference on Composite Materials,(ICCM-9)[C],July,12～16,1993,Madrid,Spain.Proceedings Vol.VI,pp.455～462.Madrid-Spain:Published by University of Zaragoza,Woodhead Publishing Ltd.
[6]	Болотин В В.Динамическая Устойчиность Упругих Систем[M],Москва,СССР:Γосударственное издательство технико-теоретической литературы,1956.
[7]	Bolotin V V.The Dynamic Stability of Elastic Systems[M].National Pub Co of Technical-Theoretical Literature,USSR,1956.English edition transtated by Weingerten,etc,San Francisco:Holclen-Day Inc,1964.
[8]	Jones Robert M.Mechanics of Composite Materials[M].Washington U S A:Hemisphere Publishing Co,(now Taylor & Francis Co),1975.
[9]	Alexander Chajes,Principals of Structural Stability Theory[M].Massachusetts:Published in Massachusetts State University:Prentice-Hall Inc,U S A 1974.
[10]	Stephen W,Tsai,Hahn H,Thomas.Introduction to Mechanics of Composite Materials[M].Westport,California:Technomic Publishing Co,U S A,1980.