抄録
This paper presents an energy analysis of the free vibration problem for rectangular plates with arbitrary boundary conditions. We propose to evaluate the free vibration characteristics of rectangular plates using the strain energy and the kinetic energy. The analysis procedure is based on the linear, small-strain three-dimensional (3-D) theory of elasticity. The B-spline Ritz method is used to analyze the eigenfrequency and the eigenmode of rectangular plates. The effects of thickness-to-length ratio, mode number and boundary condition on the eigenfrequency, eigenmode, strain energy and kinetic energy of rectangular plates are investigated in detail.
