复合材料选层板的非线性动力稳定性理论

周承倜

复合材料选层板的非线性动力稳定性理论

周承倜

大连大学工学院

计量
- 文章访问数: 2196
- HTML全文浏览量: 178
- PDF下载量: 676
- 被引次数: 0
出版历程
- 收稿日期: 1990-02-24
- 刊出日期: 1991-02-15

Theory of Nonlinear Dynamic Stability for Composite Laminated Plates

Zhou Cheng-ti

Institute of Technology, Dalian University, Dalian

摘要

摘要: 本文用Hamilton原理建立了复合材料迭层板动力稳定性的一般方程.用此方程可以考虑横向剪切变形、板的初始几何不完善性、纵向惯性力和转动惯性力、以及纤维的铺设角度等各种因素对于迭层板的动力稳定性的影响.所求得的基本方程的解表明迭层板的一些重要的动力失稳特征只有通过对这些因素的考虑和分析才能够得出.
- 复合材料 /
- 迭层板 /
- 动力稳定性
Abstract: In this paper, the general equations of dynamic stability for composite laminated plates are derived hyHamilton principle. These general equations can he used to consider those different factors that affect the dynamic stability of laminated plates. The factors are transverse shear deformation, initial imperfections, longitudinal and rotational inertia, and ply-angle of the fiber, etc. The solutions of the fundamental equations show that some important characteristics of the dynamic instability can only be got by the consideration and analysis of those factors.
- composite materials /
- laminated plates /
- dynamic stability

HTML全文

参考文献(17)

[1]	Hoff,N.J.,The dynamics of the buckling of elastic columns,ASME J.Appl.Mech.,18(1951),68-74.
[2]	Hoff,N.J.,Dynamic stability of structures,Dynamic Stability of Structures,Ed.G.Hermann,Pergamon Press,Oxford(1967),7-64.
[3]	Болотин В.В.,Дцнамцческая Усмойчивосмъ Упрушх Сцсмем,Государственное Издютелъстов Технико-Теоретической Литературы(1956).鲍洛金著,《弹性体系的动力稳定性》,林砚田译,高等教育出版社.
[4]	Vol'mir,A.S.,Nonlinear Dynamics of Plates and Shells,Nauka,Moscow(1967).
[5]	Vol'mir,A.S.,Stability of Deformable Systems,Nauka,Moscow(1967).
[6]	Ari-Gur,J.,T.Weller and J.Singer,Experimental and theoretical studies of columns under axial impact,Intern.J.Solids Structures,18(1982),619-641.
[7]	Babich,D.V.and L.P.Khoroshun,Dynamic loss of stability of an instantaneously compressed layered cylindrical shells,Soviet Appl.Mech.,16(1981),586-590.
[8]	Brigadirov,G.V.and L.A.Tolokonnikov,Impact of a cylindrical shell against a rigid barrier,Mech.Solids,18(1983),179-181.
[9]	Birman,V.,Dynamic stability of unsymmetrcally laminated rectangular plates,Mech.Research Communication,12(1985),81-86.
[10]	Bert,C.W.and V.Birman,Dynamic instability of shear deformable antisymmetric angle-ply plates,Intern.J.Solids Structures,23,7(1987),1053-1061.
[11]	Srinivasan,R.S.and P.Chellapandi,Dynamic stability of rectangular laminated composite plates,Computers and Structures,24,2(1986),233-238.
[12]	Birman,V.,Problems of dynamic buckling of antisymmetric rectangular laminates,Composite Structures,12(1989),1-15.
[13]	Mao Ren-jie,Dynamic stability of shear deformable orthotropic rectangular plates,Proceedings of ICCM-Ⅶ,3(1989).
[14]	Zhou Cheng-li,Wang Li-tung and Jia Hong-yu,The influence of transverse shear and rotational inertia on the dynamic instability of laminated composite plates,Proceedings of ICCM-Ⅶ,3(1989).
[15]	Zhou Cheng-ti and Wang Li-tung,An analysis of dynamic instability on laminated composite plates,4th Intern.Conf.of Composite Structures(ICCS-4),paisley Institute of Technology,Scotland,July 27-29(2987).
[16]	Jones,R.M.,Mechanics of Composite Materials,McGraw-Hill(1975).
[17]	周承调,《薄壳弹塑性稳定性理论》,国防工业出版社(1979).