[1] Baran D D.Mathematical models used in studying the chaotic vibration of buckled beams[J].Mechanics Research Communications,1994,21(2):189~196. [2] B Poddar, F C Moon, S Mukherjee. Chaotic motion of an elastic-piastic beam[J].J Appl Mech,1988,55(1):185~189. [3] Keragiozov V, Keoagiozova D. Chaotic phenomena in the dynamic buckling of elastic-plastic column under an impact[J].Nonlinear Dynamics,1995,13(7):1~16. [4] Holms P,Marsden J. A partial differential equation with infinitely many periodic orbits:chaotic oscillation of a forced beam[J].Arch Rat Mech Analysis,1981,76(2):135~165. [5] Lee J Y, Symonds. Extended energy approach to chaotic elastic-plastic response to impulsive loading[J].Int J Mech Sci,1992,34(2):165~177. [6] Moon F C, Shaw S W. Chaotic vibration of a beam with nonlinear boundary conditions[J]. Non~Linear Mech,1983,18(6):465~477. [7] Symonds P S,Yu T X.Counterintuitive behavior in a problem of elastic-plastic beam dynamics[J].J Appl Mech,1985,52(3):517~522. [8] Lepik U.Vibration of elastic-plastic fully clamped beams and arches under impulsive loading[J].Int J Non-Linear Mech,1994,29(4):67~80. [9] Dai Decheng,Nonlinear Vibration[M].Nanjing:Southeast University Press,1993(in Chinese) [10] Moon F C.Chaotic and Fractal Dynamics[M].New York:John Wiley & Sons,Inc,1992. [11] Thompson J M T,Stewart H B.Nonlinear Dynamics and Chaos, Geometrical Methods for Engineers and Scientists[M].New York:John Wiley & Sons,1986. [12] Han Qiang.The dynamic buckling,bifurcation and chaotic motion of several structures[D],Do ctor.s thesis.Taiyuan:Taiyuan University of Technology,1996 |