The large deflection problem of circular thin plate with variable thickness under uniformly distributed loads

1983 ◽  
Vol 4 (1) ◽  
pp. 107-116 ◽  
Author(s):  
Wang Xin-zhi
Keyword(s):  
Thin Plate ◽  
Variable Thickness ◽  
Large Deflection ◽  
Uniformly Distributed Loads ◽  
Large Deflection Problem ◽  
Circular Thin Plate

Unsymmetrical nonlinear bending problem of circular thin plate with variable thickness

2005 ◽  
Vol 26 (4) ◽  
pp. 423-430
Author(s):  
Wang Xin-zhi ◽  
Zhao Yong-gang ◽  
Ju Xu ◽  
Zhao Yan-ying ◽  
Yeh Kai-yuan
Keyword(s):  
Thin Plate ◽  
Variable Thickness ◽  
Nonlinear Bending ◽  
Circular Thin Plate

Design of a Variable Thickness Plate to Focus Bending Waves

2012 ◽  
Author(s):  
Noah H. Schiller ◽  
Sz-Chin Steven Lin ◽  
Randolph H. Cabell ◽  
Tony Jun Huang
Keyword(s):  
Numerical Simulations ◽  
Thin Plate ◽  
Traveling Waves ◽  
Variable Thickness ◽  
Focal Point ◽  
Frequency Range ◽  
Additional Energy ◽  
Broad Frequency Range ◽  
Bending Waves ◽  
Energy Dissipated

This paper describes the design of a thin plate whose thickness is tailored in order to focus bending waves to a desired location on the plate. Focusing is achieved by smoothly varying the thickness of the plate to create a type of lens, which focuses structure-borne energy. Damping treatment can then be positioned at the focal point to efficiently dissipate energy with a minimum amount of treatment. Numerical simulations of both bounded and unbounded plates show that the design is effective over a broad frequency range, focusing traveling waves to the same region of the plate regardless of frequency. This paper also quantifies the additional energy dissipated by local damping treatment installed on a variable thickness plate relative to a uniform plate.

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