混合境界を持つ長方形板の面内振動

抄録

Vibration characteristics are determined for a previously unsolved class of problems, that of in-plane vibration of rectangular plates with mixed boundary conditions. The edges are partially clamped and other parts are free or simply supported. The solution procedure uses Ritz method with algebraic polynomial functions with boundary index to allow any sets of four different, in-plane boundary conditions. Partial clamp is approximated by applying partial elastic springs with high stiffness distributed along edges. Convergence studies are made, and accurate frequencies are presented for six various examples. The results are compared with FEM solutions, and good agreement is obtained.