Free vibration analysis of beams with various interfaces by using a modified matched interface and boundary method

Zhiwei Song , Wei Li , Xiaoqiao He , De Xie

Abstract

This paper proposes a modified matched interface and boundary (MMIB) method to analyze the free vibration of beams with various interfaces caused by steps, intermediate rigid and elastic supports, intermediate concentrated masses and spring-mass systems, etc. A new strategy is developed to determine the parameters in the iterative computation of MMIB. The MMIB procedures are established to deal with boundary conditions and various interface conditions, which overcomes the shortcoming of the traditional MIB. A number of examples are utilized to illustrate the performance of MMIB method. Numerical results indicate that the MMIB method is a highly accurate and convergent approach for solving interface problems.

Key Words

matched interface and boundary; interface problem; beam; free vibration

Address

Zhiwei Song1,2, Wei Li1,3,4, Xiaoqiao He2,5 and De Xie1,3,4 1School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China 2 Department of Architecture and Civil Engineering, City University of Hong Kong, Tae Chee Avenue, Kowloon, Hong Kong, P. R. China 3 Hubei Key Laboratory of Naval Architecture & Ocean Engineering Hydrodynamics (HUST) , Wuhan 430074, P. R. China 4 Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), Shanghai 200240, P. R. China 5 Centre for Advanced Structural Materials, City University of Hong Kong Shenzhen Research Institute, 8 Yuexing 1st Road, Shenzhen Hi-Tech Industrial Park, Nanshan District, Shenzhen, P. R. China

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