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Application of the quadrature method to flexural vibration analysis of a geometrically nonlinear beam

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Abstract

The quadrature method (OM) has been used in structural analysis only in recent years. In this study, OM is applied to flexural vibration analysis of a geometrically nonlinear beam. The numerical results by OM agree with the results by the finite element method. It is believed that this is the first attempt to solve a nonlinear dynamic problem by the quadrature method.

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Author notes

  1. Yusheng Feng

    Present address: Department of Aerospace Engineering and Engineering Mechanics, The University of Texas, 18712, Austin, Texas

Authors and Affiliations

  1. School of Aerospace and Mechanical Engineering, The University of Oklahoma, 73019, Norman, OK, U.S.A.

    Yusheng Feng & C. W. Bert

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  1. Yusheng Feng
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  2. C. W. Bert
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Feng, Y., Bert, C.W. Application of the quadrature method to flexural vibration analysis of a geometrically nonlinear beam. Nonlinear Dyn 3, 13–18 (1992). https://doi.org/10.1007/BF00045468

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  • DOI: https://doi.org/10.1007/BF00045468

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