eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences December 2009 21 3 681 690 jusps-A 1243 article Manu Gupta 1 Babita Rani 2 Department of Mathematics, J.V. Jain (PG) College, Saharanpur (UP) INDIA - 247001 Department of Mathematics, M.M. Engineering Universtiy, Mullana Ambala -133203 Haryana (INDIA) <p style="text-align: justify;">The damped vibrations of non-homogeneous isotropic elastic infinite plate resting on elastic foundation are studied. The thickness variation is considered parabolically and non-homogeneity variation is taken as exponentially. In this paper a generalized eigenvalue problem is obtained by applying Frobenious method and suitable boundary conditions from which the values of a frequency parameter, deflection function and the corresponding mode shapes of vibration, for specific values of other parameters, are obtained.</p> <p style="text-align: justify;">&nbsp;</p> https://www.ultrascientist.org/paper/1243/ Damped Vibrations Non-Homogeneity Isotropic Elastic Foundation