Natrajan Ganesan

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Influence of a thermal gradient on the natural frequencies of tapered orthotropic plates

Journal of Sound and Vibration

The dynamic free response of thin rectangular plates subjected to one and two dimensional steady state temperature distributions satisfying Laplace's equation is analyzed. The governing equations of motionare derived by a finite difference method and solved by a simultaneous iteration technique to obtain eigenvalues and eigenvectors. The accuracy of the method is assessed by comparing the results for some typical cases with those obtained by classical methods. The finite element method is also employed for the problem and the results obtained compare well with those of the finite difference method. From the results an attempt is made to correlate the non-dimensional frequency parameter and the temperature. Plates of different boundary conditions, with at least one edge clamped, free to expand or contract in their planes, are studied. © 1978 Academic Press Inc.

Journal	Journal of Sound and Vibration
ISSN	0022460X
Open Access	No