On the homotopy analysis method for non-linear vibration of beams
On the homotopy analysis method for non-linear vibration of beams
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DOI：
10.1016/j.mechrescom.2008.08.001
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发表时间：
2009-03
影响因子：
2.4
通讯作者：
T. Pirbodaghi;M. Ahmadian;M. Fesanghary
中科院分区：
文献类型：
--
作者：
T. Pirbodaghi;M. Ahmadian;M. Fesanghary
本研究利用同伦分析法（HAM）研究轴向载荷作用下Euler-Bernoulli梁的非线性振动行为。给出了梁的几何非线性振动的解析表达式。讨论了振幅对非线性频率和屈曲载荷的影响。HAM结果与文献结果的比较表明了该方法的准确性。这项研究表明，一阶近似的HAM导致高精度的解决方案，这是有效的振动幅度范围很广。
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.