对称正交铺设层合板的后屈曲性态分析

An Analysis of the Post-buckling of Laminated Pates of Symmetric Cross-ply

摘要: 本文以变分原理推导出具有初始缺陷因子的对称正交铺设层合板的稳定性方程。从这些方程出发,以挠度为摄动参数,采用摄动技术,研究简支矩形板的稳定的后屈曲平衡路径,给出渐近式。文中用典型算例说明对称正交铺设矩形层合板的后屈曲性态。
- 后屈曲性态 /
- 摄动法 /
- 层合板 /
- 初始缺陷
Abstract: In this paper,general equations relating to the stability of laminated plates of symmetric cross-ply with initial imperfection factors are derived by using the variational principle.Taking the deflection as the perturbation parameter,the equilibrium path of the post-buckling path of a simply supported rectangular plate is investigated with the perturbation method.An approximation expression and a typical numerical example are presented to manifest the post-buekling behavior of the rectangular plate.
- post-buckling behavior /
- perturbation method /
- laminated plates /
- initial imperfection

[1]	W.T.Koiter,On the Stability of Elastic Equilibrium,NASA TT-F 10(1967).
[2]	M.Stein,Loads and Deformations of Buckled Rectangular Plates,NASA TR-R-40(1959).
[3]	J.M.T.Thompson,Basic principles in the general theory of elastic stability,J.Mech.Phys.Solids.11(1963).
[4]	J.M.T.Thompson and G.M.Hunt,A Geheral Theory of Elastic Stability,John Wiley & Sone,London(1973).
[5]	A.C.Walker,The post-buckling behavior of simply supported square plates,Aero Quart.,20(1969).
[6]	张建武、范祖尧.简支矩形板后屈曲平衡路径的一个摄动解.上海交通大学学报.18(5)(1984).
[7]	G.Z.Harris,The buckling and post-buckling behavior of composite plates under biaxial.loading.Int.J.Mech.Sci.Mar.,7(1975).
[8]	张建武.复合结构剪切板的屈曲和后屈曲研究.力学学报.28(2)(1994),
[9]	周承调.复合材料迭层板的非线性动力稳定性理论.应用数学和力学.12(2)(1991),101-108,
[10]	周承调.《薄壳弹塑性稳定性理论》.国防工业出版社(1979).
[11]	R.M.Jones,Mechanics of Composite Materials,McGraw-Hill(1975).
[12]	S.Srinirasan and A.K.Rao.Bending,vibration and buckling of simply supported thick orthotropic rectangular plates and laminates,Int.J.Solid Struct.,6(1970).