Vibration of Rectangular Plates with Circular Holes

抄録

The frequencies in vibration of rectangular plates with circular holes are studied. The method is due to Ritz and the displacement is expressed in terms of the products of bar-solutions which satisfy the boundary conditions of plate. The kinetic and potential energies are given in the cases of clamped-clamped, clamped-free and clamped-supported ends. Numerical calculations are carried out in the case of the plate of which all edges are fixed and with a hole in centre. Experimental data are also given in the above mentioned case in which the ratio of edge lengths is 1/2 and the agreement with calculations is good.