Solution For Free Vibration Analysis Research Articles

A highly accurate analytical solution for free vibration analysis of simply supported right triangular plates

A new analytical technique is described for the free vibration analysis of simply supported right triangular plates. While it is seen that the basic mathematical approach is applicable to right triangular plates with various types of boundary conditions, the problem of the simply supported right triangular plate is resolved for illustrative purposes and eigenvalues are presented for the first four modes. The method employed is basically that of superposition. The governing differential equation is completely satisfied and by means of a judicious choise of building blocks the boundary conditions are satisfied to any desired degree of accuracy.