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Transverse vibration of nonhomogeneous orthotropic viscoelastic circular plate of varying parabolic thickness
- Source :
- Mathematical Methods in the Applied Sciences. 34:2065-2076
- Publication Year :
- 2011
- Publisher :
- Wiley, 2011.
-
Abstract
- An analysis of the transverse vibration of nonhomogeneous orthotropic viscoelastic circular plates of parabolically varying thickness in the radial direction is presented. The thickness of a circular plate varies parabolically in a radial direction. For nonhomogeneity of the circular plate material, density is assumed to vary linearly in a radial direction. This paper used the method of separation of variables in solving the governing differential equation. In this paper, an approximate but quite convenient frequency equation is derived by using the Rayleigh–Ritz technique with a two-term deflection function. Deflection, time period and logarithmic decrement for the first two modes of vibration are computed for the nonhomogeneous orthotropic viscoelastic circular plates of varying parabolic thickness with clamped edge conditions for various values of nonhomogeneity constants and taper constants and these are shown in tabular form for the Voigt–Kelvin model. Copyright © 2011 John Wiley & Sons, Ltd.
- Subjects :
- Differential equation
business.industry
General Mathematics
Logarithmic decrement
Mathematical analysis
Mathematics::Analysis of PDEs
General Engineering
Separation of variables
Fundamental frequency
Orthotropic material
Viscoelasticity
Optics
Normal mode
Deflection (engineering)
business
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 34
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........5dae1cf777e638cc7609b12fe24bcabb