The double mode model of the chaotic motion for a large deflection plate

1999 ◽  
Vol 20 (4) ◽  
pp. 360-364 ◽  
Author(s):  
Shu Xuefeng ◽  
Han Qiang ◽  
Yang Guitong
Keyword(s):  
Chaotic Motion ◽  
Large Deflection ◽  
Deflection Plate

Comparison of the Two Formulations of w-u-v and w-F in Nonlinear Plate Analysis

2002 ◽  
Vol 69 (4) ◽  
pp. 547-552 ◽  
Author(s):  
J. Lee
Keyword(s):  
Large Deflection ◽  
Plate Theory ◽  
Airy Function ◽  
Transverse Displacement ◽  
Simply Supported ◽  
Deflection Plate ◽  
Plate Equations ◽  
Plate Analysis ◽  
Plane Displacement ◽  
Hamiltonian Property

In a moderately large deflection plate theory of von Karman and Chu-Herrmann, one may consider thin-plate equations of either the transverse and in-plane displacements, w-u-v formulation, or the transverse displacement and Airy function, w-F formulation. Under the Galerkin procedure, we examine if the modal equations of two plate formulations preserve the Hamiltonian property which demands energy conservation in the conservative limit of no damping and forcing. In the w-F formulation, we have shown that modal equations are Hamiltonian for the first four symmetric modes of a simply-supported plate. In contrast, the corresponding modal equations of w-u-v formulation do not exhibit the Hamiltonian property when a finite number of sine terms are included in the in-plane displacement expansions.

Dynamic Elastic/Viscoplastic Response of Hull Plating Subjected to Hydrodynamic Wave Impact

1997 ◽  
Vol 41 (02) ◽  
pp. 130-146
Author(s):  
P. A. Caridis ◽  
M. Stefanou
Keyword(s):  
Large Deflection ◽  
Pressure Pulse ◽  
Material Behavior ◽  
Maximum Pressure ◽  
Wave Impact ◽  
Multiple Wave ◽  
Deflection Plate ◽  
Model Collision ◽  
Plate Equations ◽  
Hydrodynamic Wave

A numerical simulation of the response of a flat plate subjected to hydrodynamic wave impact is presented. The formulation is based on a time domain solution of the large deflection plate equations using a finite difference mesh. The material behavior is elastic/viscoplastic, following the classical Perzyna model, and the procedure is validated against a series of model collision experiments. The correlation results were found to be good and the procedure was subsequently used to predict the response of plating subjected to wave impact loads, characterized by a steep rise to a maximum pressure followed by an exponential decay. A comparison with an analytical model was conducted and following this a parametric study of the characteristics of the pressure pulse was carried out. The paper concludes with a study of the effect of multiple wave impacts. It was found that, even though individual impacts may not cause rupture, a small number of these may lead to rupture of the plating, provided the maximum pressure is large enough.

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