Free Transverse Vibration of Orthotropic Thin Trapezoidal Plate of Parabolically Varying Thickness Subjected to Linear Temperature Distribution
Joint Authors
Gupta, Arun Kumar
Sharma, Shanu
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The present paper deals with the free transverse vibration of orthotropic thin trapezoidal plate of parabolically varying thickness in x-direction subjected to linear temperature distribution in x-direction through a numerical method.
The deflection function is defined by the product of the equations of the prescribed continuous piecewise boundary shape.
Rayleigh-Ritz method is used to evaluate the fundamental frequencies.
The equations of motion, governing the free transverse vibrations of orthotropic thin trapezoidal plates, are derived with boundary condition CSCS.
Frequency corresponding to the first two modes of vibration is calculated for the orthotropic thin trapezoidal plate having CSCS edges for different values of thermal gradient, taper constant, and aspect ratio.
The proposed method is applied to solve orthotropic thin trapezoidal plate of variable thickness with C-S-C-S boundary conditions.
Results are shown by figures for different values of thermal gradient, taper constant, and aspect ratio for the first two modes of vibrations.
American Psychological Association (APA)
Gupta, Arun Kumar& Sharma, Shanu. 2014. Free Transverse Vibration of Orthotropic Thin Trapezoidal Plate of Parabolically Varying Thickness Subjected to Linear Temperature Distribution. Shock and Vibration،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1047903
Modern Language Association (MLA)
Gupta, Arun Kumar& Sharma, Shanu. Free Transverse Vibration of Orthotropic Thin Trapezoidal Plate of Parabolically Varying Thickness Subjected to Linear Temperature Distribution. Shock and Vibration No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1047903
American Medical Association (AMA)
Gupta, Arun Kumar& Sharma, Shanu. Free Transverse Vibration of Orthotropic Thin Trapezoidal Plate of Parabolically Varying Thickness Subjected to Linear Temperature Distribution. Shock and Vibration. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1047903
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1047903