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作者:Zhongjin Guo , A.Y.T. Leung , H.X. Yang
来源:[J].Applied Mathematical Modelling(IF 1.706), 2010, Vol.35 (4), pp.1717-1728
摘要:Abstract(#br)A new approach that the iterative homotopy harmonic balancing is presented for charactering and predicting analytical approximations of conservative oscillator with strong odd-nonlinearity in the paper. The new technique does not depend upon small parameter assump...
作者:Mostafa Mohammadian , Mahmoud Shariati
来源:[J].Chinese Journal of Physics(IF 0.477), 2017, Vol.55 (1), pp.47-58
摘要:Abstract(#br)In the current research paper, a conservative system comprising of a mass grounded by linear and nonlinear springs in series connection is studied. The equation of motion for the aforementioned system has been derived as a nonlinear ordinary differential equation w...
作者:Y. Khan , M. Akbarzade , A. Kargar
来源:[J].Scientia Iranica(IF 0.537), 2012, Vol.19 (3), pp.417-422
摘要:Abstract(#br)In this paper, a new approach combining the features of the homotopy concept with the variational approach is proposed for describing and predicting analytical approximations of a conservative oscillator with strong odd-nonlinearity. The new technique does not de...
作者:M. G. Sfahani , S. S. Ganji , Amin Barari ...
来源:[J].Earthquake Engineering and Engineering Vibration(IF 0.604), 2010, Vol.9 (3), pp.367-374
摘要:Abstract(#br)This paper describes analytical and numerical methods to analyze the steady state periodic response of an oscillator with symmetric elastic and inertia nonlinearity. A new implementation of the homotopy perturbation method (HPM) and an ancient Chinese method called t...
作者:M. G. Sfahani , A. Barari , S. S. Ganji ...
来源:[J].The International Journal of Advanced Manufacturing Technology(IF 1.205), 2013, Vol.64 (9-12), pp.1435-1443
摘要:Abstract(#br)In this paper, we study the periodic solutions for the free vibration of a conservative oscillator with fifth-order nonlinearity using two new methods, the energy balance method and the variational approach. We compare the results obtained with those yielded by t...
作者:Md Helal Uddin Molla , Md Abdur Razzak , M.S. Alam
来源:[J].Multidiscipline Modeling in Materials and Structures, 2018, Vol.14 (4), pp.634-646
摘要:Purpose(#br)The purpose of this paper is to present an analytical approximate technique to solve nonlinear conservative oscillator based on the He’s energy balance method (improved version recently presented by Khan and Mirzabeigy). The method is illustrated by solving doubl...
作者:Ivana Kovacic , Zvonko Rakaric , Livija Cveticanin
来源:[J].Applied Mathematics and Computation(IF 1.349), 2010, Vol.217 (8), pp.3944-3954
摘要:Abstract(#br)This paper is concerned with a class of conservative oscillators the restitution force of which is of a power form which includes positive non-integer exponents. It is shown how an approximate Lagrangian and Hamilton’s variational principle can be used to obtain...
作者:M. Mohammadian , O. Pourmehran , P. Ju
来源:[J].International Applied Mechanics, 2018, Vol.54 (4), pp.470-479
摘要:An iterative procedure is suggested for obtaining the higher-order approximate solutions of a conservative system comprising an oscillator with cubic and quintic restoring force function. The proposed method is similar to the traditional harmonic balance methods but, unlike them,...
作者:Ivana Kovacic , Zvonko Rakaric
来源:[J].Communications in Nonlinear Science and Numerical Simulation(IF 2.773), 2010, Vol.15 (9), pp.2651-2658
摘要:Abstract(#br)In this paper conservative single-degree-of-freedom oscillators with a fractional-order restoring force are considered. In order to obtain the solution for motion in higher approximations, the Ritz method is adjusted by introducing an approximate Lagrangian and by us...

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