Title of article
Periodic solution for strongly nonlinear vibration systems by using the homotopy analysis method
Author/Authors
Fardi, Mojtaba Islamic Azad University, Najafabad Branch - Department of Mathematics, ايران , Kazemi, Ebrahim Islamic Azad University, Karaj Branch - Department of Mathematics, ايران , Ezzati, Reza Islamic Azad University, Karaj Branch - Department of Mathematics, ايران , Ghasemi, Mehdi shahrekord university - Faculty of Mathematical Science - Department of Applied Mathematics, شهركرد, ايران
From page
1
To page
5
Abstract
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= ω²) in the form of approximation series of the convergence control parameter ħ. Finally, the so-called valid region of ħ is determined by plotting the Ω-ħ curve. Comparison of the obtained results with exact solutions provides confirmation for the validity of HAM.
Keywords
Convergence , controller parameter , Homotopy analysis method , Homotopy , Pade technique , Oscillator
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2569008
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