Some aspects of dynamic buckling and dynamic response of thin plate under in-plane compression

Abstract

The paper is devoted to investigating the response of thin orthotropic square plates subjected to in-plane time-dependent compressive load related to static buckling load. Two types of loads have been considered: pulse load with a duration corresponding to a period of natural frequencies of a plate; harmonic load with a different mean value. It has allowed us to analyse the plate behaviour under dynamic load and present the application of phase portraits, Poincare maps and Lyapunov exponents for dynamic buckling analysis. The system’s response is analysed based on the FEM model and one degree of freedom oscillator derived from the full continuous model. The research has been performed to check the thesis that the methods used in the analysis of the stability of motions of a rigid body can be used in dynamic buckling determinations and dynamic response analysis of thin-walled deformable structures. The results show that both considered approaches give reliable outcomes, and derived stability conditions are matched.