Centralized mass method;  dynamic analysis;  Rectangular plates

The rectangular sheets with four-side support, three-side support and one pair of sides free were analyzed by centralized mass method, and the corresponding procedures were prepared by the subspace positive iteration method. This method can calculate the vibration frequency of each order of the above boundary condition rectangular plate vibration and its corresponding mode shape, and compare it with the existing accurate solution or finite element results, and the calculation results are in good agreement, and this method can also be used for dynamic analysis of other boundary condition rectangular plates.