Yazar "Askari, H." seçeneğine göre listele

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    Analysis of nonlinear oscillations of a punctual charge in the electric field of a charged ring via a Hamiltonian approach and the energy balance method
    (Pergamon-Elsevier Science Ltd, 2011) Yildirim, A.; Askari, H.; Saadatnia, Z.; KalamiYazdi, M.; Khan, Y.
    The method of Hamiltonian approach and the energy balance method are applied to obtain the periodic solutions of nonlinear oscillations of a punctual charge in the electric field of charged ring. The obtained approximate frequencies are accurate for the entire range of oscillation amplitudes. A good agreement of the approximate frequencies and periodic solutions with the exact ones are demonstrated and discussed. It is also proved that the results of the energy balance method are better than the Hamiltonian approach for solving this equation.(C) 2011 Elsevier Ltd. All rights reserved.
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    Analytical Solutions for Autonomous Conservative Nonlinear Oscillator
    (Walter De Gruyter Gmbh, 2010) Yazdi, Mohammad Kalami; Khan, Yasir; Madani, M.; Askari, H.; Saadatnia, Z.; Yildirim, Ahmet
    This paper adapts the Energy Balance Method (EBM) and Frequency Amplitude Formulation to solve the free vibrations of a conservative oscillator with inertia and static cubic non-linearities. Case studies on the effects of the time response are presented. The results that obtained from the EBM and FAF are then compared with those from the numerical solution in order to verify the accuracy of the proposed method.
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    Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms
    (Pergamon-Elsevier Science Ltd, 2011) Yildirim, Ahmet; Saadatnia, Z.; Askari, H.
    In this paper, Hamiltonian Approach (HA) is applied to obtain the analytical approximate solution of the nonlinear oscillators with Rational and Irrational Elastic Terms. Periodic solutions are analytically verified and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. A comparison of the period of oscillation and obtained solutions with the exact results illustrates that the Hamiltonian approach is very effective and quite accurate for nonlinear equations. (C) 2011 Elsevier Ltd. All rights reserved.
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    Approximate periodic solutions for the Helmholtz-Duffing equation
    (Pergamon-Elsevier Science Ltd, 2011) Askari, H.; Saadatnia, Z.; Younesian, D.; Yildirim, A.; Kalami-Yazdi, M.
    Approximate periodic solutions for the Helmholtz-Duffing oscillator are obtained in this paper. He's Energy Balance Method (HEBM) and He's Frequency Amplitude Formulation (HFAF) are adopted as the solution methods. Oscillation natural frequencies are analytically analyzed. Error analysis is carried out and accuracy of the solution methods is evaluated. (C) 2011 Elsevier Ltd. All rights reserved.
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    Higher order approximate periodic solutions for nonlinear oscillators with the Hamiltonian approach
    (Pergamon-Elsevier Science Ltd, 2011) Yildirim, A.; Saadatnia, Z.; Askari, H.; Khan, Y.; KalamiYazdi, M.
    In this work, the Hamiltonian approach is applied to obtain the natural frequency of the Duffing oscillator, the nonlinear oscillator with discontinuity and the quintic nonlinear oscillator. The Hamiltonian approach is then extended to the second and third orders to find more precise results. The accuracy of the results obtained is examined through time histories and error analyses for different values for the initial conditions. Excellent agreement of the approximate frequencies and the exact solution is demonstrated. It is shown that this method is powerful and accurate for solving nonlinear conservative oscillatory systems. (C) 2011 Elsevier Ltd. All rights reserved.
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    A relationship between three analytical approaches to nonlinear problems
    (Pergamon-Elsevier Science Ltd, 2012) Yildirim, A.; Askari, H.; Yazdi, M. Kalami; Khan, Y.
    In this work, the relationship between three analytical techniques is demonstrated. The direct relationship between the variational approach (VA) and the Hamiltonian approach (HA) is illustrated for a first approximation, and subsequently the relationship between the variational approach and the harmonic balance method (HBM) is concluded. Moreover, the relationship between HA and VA is investigated for higher order solutions. (C) 2012 Elsevier Ltd. All rights reserved.