Numerical Investigation of the Snap-Through Response of a Curved, Clamped-Clamped Plate with Thermal and Random Loading

This paper presents the results of a computational study of the snap-through phenomenon exhibited by a curved plate model with clamped-clamped boundary conditions in a highamplitude random excitation with thermal loading. In this paper, a finite element model is used to estimate the snap-through response in the parameter space of the thermal loading and random excitation. Using this response estimate, some insights are presented into the frequency and time domain attributes of the snap-through response behavior. Further, it is proposed that the definition of snap-through response is hard to characterize for curved structures with no-preload. It is also suggested that energy principles may provide a conservative yet enhanced understanding of this phenomenon for parametric space investigations.

[1]  Lawrence N. Virgin,et al.  Experimental snap-through boundaries for acoustically excited, thermally buckled plates , 1996 .

[2]  Joseph J. Hollkamp,et al.  Nonlinear Sonic Fatigue Response Prediction from Finite Element Modal Models: A Comparison with Experiments , 2003 .

[3]  Lawrence N. Virgin,et al.  Finite element analysis of post-buckling dynamics in plates-Part I: An asymptotic approach , 2006 .

[4]  C. Ng,et al.  Nonlinear and snap-through responses of curved panels to intense acoustic excitation , 1989 .

[5]  William L. Ko,et al.  Combined compressive and shear buckling analysis of hypersonic aircraft sandwich panels , 1992 .

[6]  Stephen A. Rizzi,et al.  Dynamic Snap-Through of Thin-Walled Structures by a Reduced-Order Method , 2006 .

[7]  Stephen A. Rizzi,et al.  The Effect of Basis Selection on Thermal-Acoustic Random Response Prediction Using Nonlinear Modal Simulation , 2004 .

[8]  William L. Ko,et al.  Combined Compressive and Shear Buckling Analysis of Hypersonic Aircraft Structural Sandwich Panels. , 1991 .

[9]  V. V. Bolotin,et al.  Dynamic Stability of Elastic Systems , 1965 .

[10]  Joseph J. Hollkamp,et al.  Nonlinear Random Response of a Clamped Plate: a Well- Characterized Experiment , 2006 .

[11]  Joseph J. Hollkamp,et al.  Nonlinear modal models for sonic fatigue response prediction: a comparison of methods , 2005 .

[12]  Gareth A. Vio,et al.  Finite Element / Modal Technique for Non-linear Plate and Stiffened Panel Response Prediction , 2001 .

[13]  Giles W Hunt,et al.  A general theory of elastic stability , 1973 .