Rajneesh Kumar 1 and Geeta Partap2
1Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India - 136 119
2Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India - 144011
Received:
January 28, 2008
Accepted:
March 12, 2010
Publication Date:
September 1, 2010
Download Citation:
||https://doi.org/10.6180/jase.2010.13.3.01
ABSTRACT
The free vibration analysis of waves in a homogeneous isotropic microstretch elastic plate subjected to stress free conditions is investigated. The secular equations for homogeneous isotropic microstretch elastic plate for symmetric and skew-symmetric wave modes are derived. The mathematical model has been simplified by using the Helmholtz decomposition technique and the frequency equations for different mechanical situations are obtained and discussed. The special cases such as short wavelength and regions of secular equations are deduced and discussed. The dispersion curves for symmetric and skew-symmetric modes are computed numerically and presented graphically. Results of some earlier workers have been deduced as particular cases.
Keywords:
Microstretch elastic plate, Secular equations, Phase velocity, Micropolar elastic plate
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