A recursive formulation is proposed for the method of reverberation-ray matrix (MRRM) to exactly analyze the free vibration of a multi-span continuous rectangular Kirchhoff plate, which has two oppo- site simply-supported edges. In contrast to the traditional MRRM, numerical stability is achieved by using the present new formulation for high-order frequencies or/and for plates with large span-to-width ratios. The heavy computational cost of storage and memory are also cut down. An improved recursive formulation is further proposed by modifying the iterative formula to reduce the matrix inversion op- erations. Numerical examples are finally given to demonstrate the effectiveness and efficiency of the proposed recursive formulae.
<正>This work presents an approach named direct displacement method to investigate the free axisymmetric vibrat...
Yun WANG School of Mechanical Engineering,Hangzhou Dianzi University,Hangzhou,Zhejiang 310018,China Rong-qiao XU,Hao-jiang Ding Department of Civil Engineering,Zhejiang University,Hangzhou,Zhejiang 310058,China
