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Periodic solution for strongly nonlinear vibration systems by using the homotopy analysis method
2012
Mathematical Sciences
In this paper, the periodic solutions for the oscillation of a mass attached to a stretched elastic wire are obtained using the homotopy analysis method (HAM). HAM helps us to obtain square root frequency ( = ω 2 ) in the form of approximation series of the convergence control parameter . Finally, the so-called valid region of is determined by plotting the -curve. Comparison of the obtained results with exact solutions provides confirmation for the validity of HAM.
doi:10.1186/2251-7456-6-65
fatcat:pyf7atklynfk5n2ciwwmp33bnm