Recursive formulations for the method of reverberation-ray matrix and the application

摘要: A recursive formulation is proposed for the method of reverberation-ray matrix (MRRM) to exactly analyze free vibration a multi-span continuous rectangular Kirchhoff plate, which has two opposite simply-supported edges. In contrast traditional MRRM, numerical stability achieved by using present new high-order frequencies or/and plates with large span-to-width ratios. The heavy computational cost storage and memory are also cut down. An improved further modifying iterative formula reduce inversion operations. Numerical examples finally given demonstrate effectiveness efficiency formulae.