Affiliation:
1. Changsha University of Science and Technology
Abstract
Based on Reissner plate theory and using Hamilton variational principle, the nonlinear
equations of motion are derived for the moderate thickness rectangular plates with transverse
surface penetrating crack on an elastic foundation under the action of periodic load. The suitable
expressions of trial functions satisfied all boundary conditions and crack’s continuous conditions are
proposed. By using the Galerkin method and the Runge-Kutta integration method, the nonlinear
equations are solved. The possible bifurcation and chaos of the system are analyzed under the action
of external load. In numerical calculation, the influences of the different location and depth of crack
and external load on the bifurcation and chaos of the rectangular moderate thickness plates with
freely supported boundary are discussed.
Publisher
Trans Tech Publications, Ltd.
Subject
Mechanical Engineering,Mechanics of Materials,General Materials Science
Reference5 articles.
1. P.C. Dumir: Journal of sound and vibration Vol. 107 (1986), p.253.
2. A. Bhaskar and P.C. Dumir: Journal of Sound and Vibration Vol. 125 (1988), p.1.
3. P. Qiu, X.Z. Wang and K.Y. Yeh: Applied Mathematics and Mechanics Vol. 24 (2003), p.779.
4. S.E. Khadem and M. Rezaee: Journal of Sound and Vibration Vol. 230 (2000), p.291.
5. Y.M. Fu and C.Y. Chia: Composite Structures Vol. 13 (1989), pp.289-0( ) 0. 1a η = 0( ) 0. 35 b η = Fig. 2 Poincare map of the plate ( 0s=0. 3, Q =0. 8) Fig. 3 Poincare map of the plate ( 0 0 0. 1, Q =1. 0 η = ) ( ) s=0. 1a ( ) s=0. 3b.