scholarly journals Effect of Non-Homogeneity on Thermally Induced Vibration of Orthotropic Visco-Elastic Rectangular Plate of Linearly Varying Thickness

2010 ◽  
Vol 01 (04) ◽  
pp. 326-333 ◽  
Author(s):  
Arun Kumar Gupta ◽  
Pooja Singhal
Keyword(s):  
Rectangular Plate ◽  
Thermally Induced ◽  
Varying Thickness ◽  
Elastic Rectangular Plate

scholarly journals Vibration of Clamped Visco-Elastic Rectangular Plate with Parabolic Thickness Variations

2008 ◽  
Vol 15 (6) ◽  
pp. 713-723 ◽  
Author(s):  
A.K. Gupta ◽  
Anupam Khanna
Keyword(s):  
Rectangular Plate ◽  
Nuclear Reactor ◽  
Ritz Method ◽  
Cartesian Product ◽  
Frequency Equation ◽  
Elastic Behavior ◽  
Thickness Variation ◽  
Engineering Structures ◽  
Varying Thickness ◽  
Elastic Rectangular Plate

Most of the machines and engineering structures experience vibration and their design generally requires consideration for their dynamic behavior. Due to this, the study of vibration, as it deals with the vibratory behavior of bodies, is acquiring increasingly importance in several engineering applications, nuclear reactor technology and aeronautical field etc. Most of the work has been done in the field of elastic and non-elastic behavior of the bodies but a very little work is done in the field of visco-elastic bodies with varying thickness. The analysis presented here is to study the effect of taper constants on free vibration of a clamped visco-elastic rectangular plate with parabolically varying thickness. The two-dimensional thickness variation is taken as the Cartesian product of parabolic variations along the two concurrent edges of the plate. Using Rayleigh-Ritz method, frequency equation derives. Logarithmic decrement, time period and deflection for the first two modes of vibration are calculated for various values of taper constants and aspect ratio.

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