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A finite element beam analysis by interface matching

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Abstract

An alternative way of finite element beam analysis is presented. The beam deflection in an element is represented by the sum of general solution and particular solution. The general solution is approximated by using Hermite polynomials and the particular solution is obtained by applying zero boundary conditions at element boundaries. The inter-element stiffness matrices are obtained by requiring the continuity of moment and shear force across element boundaries. The inter-element stiffness matrices do not overlap each other to form the global stiffness matrix. The boundary conditions are explicitly specified. Numerical examples are provided for various boundary conditions and load conditions.

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Correspondence to Jinhee Lee.

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Recommended by Associate Editor Gang-Won Jang

Jinhee Lee received B.S. and M.S. degrees from Seoul National University and Korea Advanced Institute of Science and technology in 1982 and 1984, respectively. He received his Ph.D. degree from University of Michigan, Ann Arbor in 1992 and joined Dept. of Mechanical and Design Engineering, Hongik University. His research interests include inverse problems, pseudospectral method, vibration and dynamic systems.

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Lee, J. A finite element beam analysis by interface matching. J Mech Sci Technol 30, 5587–5594 (2016). https://doi.org/10.1007/s12206-016-1127-0

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  • DOI: https://doi.org/10.1007/s12206-016-1127-0

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