Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
799332 | Mechanics Research Communications | 2009 | 6 Pages |
Abstract
In this study, the homotopy analysis method (HAM) is used to investigate non-linear vibration behaviour of Euler-Bernoulli beams subjected to axial loads. Analytical expressions for geometrically non-linear vibration of beams are provided. The effect of vibration amplitude on the non-linear frequency and buckling load is discussed. Comparison between HAM results and those available in literature demonstrates the accuracy of this method. This study shows that a first-order approximation of the HAM leads to highly accurate solutions which are valid for a wide range of vibration amplitudes.
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Mechanical Engineering
Authors
T. Pirbodaghi, M.T. Ahmadian, M. Fesanghary,