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On the homotopy analysis method for non-linear vibration of beams

โœ Scribed by T. Pirbodaghi; M.T. Ahmadian; M. Fesanghary

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
298 KB
Volume
36
Category
Article
ISSN
0093-6413

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

A symplectic Galerkin method for non-lin
A symplectic Galerkin method for non-linear vibration of beams and plates
โœ A.Y.T. Leung; S.G. Mao ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 737 KB

Non-linear free vibration of beams and plates is conservative in the sense that the total energy of the system remains constant. Symplectic numerical integration aims to preserve the energy, momenta and area (volume) of the phase space, and is ideal in the study of non-linear free vibration. In this