Shahed Rezaei - Under graduate student
Abolhassan Imani - Graduate student
Rezgar Shakeri - Under graduate student
Seyyed M. Hasheminejad۴ - Professor of mechanical engineering Acoustics Research Laboratory, Dep. of Mechanical Eng., Iran University of Science and Technology, Narmak,Tehran ۱۶۸۴۴, Iran

The elaborated method of eigenfunction expansion in elliptic coordinates is employed to obtain an exact timedomain series solution, for the forced flexural vibrations of a thin elastic plate of elliptical planform. The plate is elastically restrained against translation and rotation at its edge, and subjected to the general arbitrary time-dependent transverse loads with arbitrary initial conditions. Numerical calculations are carried out for the displacement response of clamped or simply supported elliptical plates of selected aspect ratios in various practical loading configurations. Limiting cases are considered and good agreements with available results as well as with the computations made by using a commercial finite element package are obtained.

Elliptical panels ,Kirchhoff plate theory, benchmark solution, exact eigen-modes,dynamic response