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• W2066836917 abstract "Abstract This paper presents an analytical method for determining the vibration modes of geometrically nonlinear beams under various edge conditions. The method assumes a continuum periodic solution which allows the harmonic balance principle to be employed to derive modal components that satisfy the equation of motion exactly. Nonlinear normal modes are constructed from four such components and used to compute the natural frequencies for beams with restrained ends and for cantilevered beams. Numerical results for beams with restrained ends show good agreement with those available from other techniques." @default.
• W2066836917 created "2016-06-24" @default.
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• W2066836917 date "1993-01-01" @default.
• W2066836917 modified "2023-09-26" @default.
• W2066836917 title "Application of the harmonic balance principle to the nonlinear free vibration of beams" @default.
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• W2066836917 doi "https://doi.org/10.1016/0003-682x(93)90087-m" @default.
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