Affiliation:
1. Southern Illinois University Edwardsville Department of Mechanical and Industrial Engineering Edwardsville, Illinois 62026-1805, USA
Abstract
The subharmonic wave solutions of axially travelling, prebuckled and post-buckled plates are developed analytically, and the conditions for resonant and stationary waves are presented. From this investigation, the plate buckling caused by translation motion and compressive loading is different, and the local buckling motion for travelling plates cannot be obtained. The small motion of travelling buckled plates will jump to large motion with increasing translation speed. The phenomena can be observed in axially travelling shell structures. The prediction of resonant and stationary waves in travelling structures is useful for experimental measurement, observation and structural design. In addition, the procedure presented in this paper is applicable for investigation of non-linear structural vibrations.
Subject
Mechanical Engineering,Condensed Matter Physics
Cited by
5 articles.
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1. The impact of non-linear stretching on the dynamic stability of a uniformly loaded, thin, warped, rotating, circular disk;Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics;2012-06-01
2. A theory for nonlinear soft webs;Communications in Nonlinear Science and Numerical Simulation;2011-04
3. Nonlinear Plates and Waves;Nonlinear Physical Science;2010
4. Introduction;Nonlinear Physical Science;2010
5. Chaotic Motions in Resonant Separatrix Zones of Periodically Forced, Axially Travelling, Thin Plates;Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics;2005-09-01