A complement to period/frequency estimation of a nonlinear oscillator

被引:23
作者
He, Chun-Hui [1 ,2 ,3 ]
Wang, Jian-Hong [1 ]
Yao, Shao-wen [4 ]
机构
[1] Nantong Univ, Sch Sci, Nantong 226019, Peoples R China
[2] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, Suzhou, Peoples R China
[3] Xian Jiaotong Liverpool Univ, Dept Chem, Suzhou, Peoples R China
[4] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China
关键词
Nonlinear oscillator; periodic solution; Duffing equation; He's frequency-amplitude formulation; HOMOTOPY PERTURBATION METHOD; FORMULATION;
D O I
10.1177/1461348418822162
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
A fast estimation of periodic properties of a nonlinear oscillator is much needed as pointed out by Tian and Liu in their review article (Tian D and Liu Z, Journal of Low Frequency Noise, Vibration & Active Control, ). Although a relatively high accuracy can be achieved, there is no way to continue the solution process to obtain any accuracy of a solution. This paper suggests an effective modification so that any accurate frequency can be obtained.
引用
收藏
页码:992 / 995
页数:4
相关论文
共 17 条
[1]   Homotopy perturbation method with two expanding parameters [J].
He, J. H. .
INDIAN JOURNAL OF PHYSICS, 2014, 88 (02) :193-196
[2]   Some asymptotic methods for strongly nonlinear equations [J].
He, Ji-Huan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (10) :1141-1199
[3]   Fractal calculus and its geometrical explanation [J].
He, Ji-Huan .
RESULTS IN PHYSICS, 2018, 10 :272-276
[4]   A Tutorial Review on Fractal Spacetime and Fractional Calculus [J].
He, Ji-Huan .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2014, 53 (11) :3698-3718
[5]   Variational iteration method for Bratu-like equation arising in electrospinning [J].
He, Ji-Huan ;
Kong, Hai-Yan ;
Chen, Rou-Xi ;
Hu, Ming-sheng ;
Chen, Qiao-ling .
CARBOHYDRATE POLYMERS, 2014, 105 :229-230
[6]   Notes on the optimal variational iteration method [J].
He, Ji-Huan .
APPLIED MATHEMATICS LETTERS, 2012, 25 (10) :1579-1581
[7]   Homotopy Perturbation Method with an Auxiliary Term [J].
He, Ji-Huan .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[8]   Modified variational iteration method for analytical solutions of nonlinear oscillators [J].
He, Wei ;
Kong, Hua ;
Qin, Yan-Mei .
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) :1178-1183
[9]   Homotopy perturbation method coupled with the enhanced perturbation method [J].
Li, Xiao-Xia ;
He, Chun-Hui .
JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 2019, 38 (3-4) :1399-1403
[10]   A fractal modification of the surface coverage model for an electrochemical arsenic sensor [J].
Li, Xiao-Xia ;
Tian, Dan ;
He, Chun-Hui ;
He, Ji-Huan .
ELECTROCHIMICA ACTA, 2019, 296 :491-493