Accurate free vibration analysis of clamped orthotropic plates by the method of superposition

Abstract The Superposition Method is exploited for the first time to analyze the free vibration frequencies and mode shapes of fully clamped rectangular orthotropic plates. The method is found to work extremely well and excellent agreement is obtained when comparison is made between computed results and earlier reliable published data. Simple modifications required to adapt the method to orthotropic plate problems are described in detail. Accurate eigenvalues are tabulated for a wide range of plate geometries and vibration mode families with various levels of orthotropy.