Navier solution for the elastic equilibrium problems of anisotropic skew thin plate wite variable thickness in nonlinear theories

1991 ◽  
Vol 12 (4) ◽  
pp. 373-382 ◽  
Author(s):  
Zhou Qing-qing
Keyword(s):  
Thin Plate ◽  
Variable Thickness ◽  
Equilibrium Problems ◽  
Elastic Equilibrium ◽  
Navier Solution

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.

Elastic Equilibrium of a Plate With a Reinforced Elliptical Hole

1960 ◽  
Vol 27 (2) ◽  
pp. 283-288 ◽  
Author(s):  
Eugene Levin
Keyword(s):  
Circular Hole ◽  
Thin Plate ◽  
Plane Stress ◽  
Complex Variable ◽  
Elliptical Hole ◽  
Elastic Equilibrium ◽  
Stress Problem ◽  
Elliptical Ring ◽  
Plane Stress Problem ◽  
Digital Computers

An infinite thin plate with an elliptical hole reinforced by a confocal elliptical ring is subjected to loads in the plane. A solution to the generalized plane-stress problem is obtained using the complex variable techniques of Muskhelishvili. The result is presented in a form well suited to evaluation by digital computers. Specialization to a circular hole with a negligibly thin reinforcement is shown to be in agreement with results obtained by other authors.

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

Acoustic Response of Thin Plate with Discrete Patches with Variable Thickness in Water Medium

2018 ◽  
Vol 8 (1) ◽  
pp. 27-34 ◽  
Author(s):  
Bipin Kumar ◽  
Vinayak Ranjan ◽  
Mohammad Sikandar Azam ◽  
Ranjan Kumar
Keyword(s):  
Thin Plate ◽  
Variable Thickness ◽  
Water Medium ◽  
Acoustic Response
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