An approach to analyze vibration of beam with arbitrary sections is presented. This element formulation employs element equilibrium relationship to obtain an accurate representation to internal forces of a beam. The stiffness matrix and mass matrix are derived for the proposed beam element. Verification example demonstrates the accuracy of this formulation and its ability to vibration analysis of beams.
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Li, S., Zhai, C., Liu, H., Xie, L. (2009). An Effective Approach for Vibration Analysis of Beam with Arbitrary Sections. In: Yuan, Y., Cui, J., Mang, H.A. (eds) Computational Structural Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2822-8_41
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DOI: https://doi.org/10.1007/978-90-481-2822-8_41
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2821-1
Online ISBN: 978-90-481-2822-8
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