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http://dx.doi.org/10.12989/sem.2019.72.1.001

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

Song, Zhiwei (School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology)
Li, Wei (School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology)
He, Xiaoqiao (Department of Architecture and Civil Engineering, City University of Hong Kong)
Xie, De (School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology)
Publication Information
Structural Engineering and Mechanics / v.72, no.1, 2019 , pp. 1-17 More about this Journal
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.
Keywords
matched interface and boundary; interface problem; beam; free vibration;
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