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作者:M. Akbarzade , A. Farshidianfar
来源:[J].Applied Mathematical Modelling(IF 1.706), 2017
摘要:... This paper presents the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities using the improved energy balance method and the global residue harmonic balance method. The accuracy of the energy balance method...
作者:Peijun Ju
来源:[J].Applied Mathematical Modelling(IF 1.706), 2015, Vol.39 (8), pp.2172-2179
摘要:Abstract(#br)In this paper, an improved harmonic balance method was proposed to solve the Duffing-harmonic equation. This method is called the global residue harmonic balance method (GRHBM). Unlike other harmonic balance methods, all the former global residual errors are introduc...
作者:Peijun Ju , Xin Xue
来源:[J].Applied Mathematical Modelling(IF 1.706), 2015, Vol.39 (2), pp.449-454
摘要:Abstract(#br)A new approach, namely global residue harmonic balance method, was used to deal with large-amplitude oscillations of a nonlinear system with inertia and static nonlinearities. Unlike other harmonic balance methods, all the former residual errors are introduced in the...
作者:Peijun Ju
来源:[J].Applied Mathematical Modelling(IF 1.706), 2015, Vol.39 (21), pp.6738-6742
摘要:Abstract(#br)We use a new accurate numerical method, the global residue harmonic balance method, to obtain the periodic solutions of a nonlinear oscillator with discontinuity. The absolute value of the relative error for the second-order approximate frequency is as low as 0.00588...
作者:M. Akbarzade , A. Farshidianfar
来源:[J].Moscow University Physics Bulletin(IF 0.225), 2017, Vol.72 (2), pp.157-162
摘要:... Two new analytical methods are the improved energy balance method, and the global residue harmonic balance method. Subsequently, the analytical results are compared with the numerical solution of the exact equation in order to evaluate the correctness of the applied approache...
作者:Peijun Ju , Xin Xue
来源:[J].Applied Mathematical Modelling(IF 1.706), 2014, Vol.38 (24), pp.6144-6152
摘要:Abstract(#br)A new approach, namely the global residue harmonic balance method, was advanced to determine the accurate analytical approximate periodic solution of a class of strongly nonlinear oscillators. A class of nonlinear jerk equation containing velocity-cubed and velocity ...
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:... The global residue harmonic balance method is applied to obtain an approximate analytical frequency and periodic solution of the problem. Using the obtained analytical expressions, the influences of the hardening and softening nonlinear spring on the non–dimensional frequ...
作者:Mostafa Mohammadian , Mehdi Akbarzade
来源:[J].Archive of Applied Mechanics(IF 1.035), 2017, Vol.87 (8), pp.1317-1332
摘要:In the current paper, a powerful approximate analytical approach namely the global residue harmonic balance method (GRHBM) is proposed for obtaining higher-order approximate frequency and periodic solution of nonlinear conservative oscillatory systems arising in engineering prob...
作者:Mostafa Mohammadian
来源:[J].International Journal of Applied and Computational Mathematics, 2017, Vol.3 (3), pp.2519-2532
摘要:In the current paper, an iterative approximate analytical approach, namely global residue harmonic balance method (GRHBM), is introduced for investigation a nonlinear conservative oscillatory system. The equation of motion for the considered system has been derived as a nonline...
作者:Xin Xue , Pei Jun Ju , Dan Sun
来源:[J].Applied Mechanics and Materials, 2013, Vol.2545, pp.3324-3327
摘要:A new approach, namely the global residue harmonic balance, was developed to determine the accurately approximate periodic solution of a class of nonlinear Jerk equation containing velocity times acceleration-squared and velocity. Unlike other improved harmonic balance methods, a...

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