Analytical study on a Duffing-harmonic oscillator

被引：28

作者：

Tiwari, SB

Rao, BN ^{[1
]}

Swamy, NS

Sai, KS

Nataraja, HR

机构：

[1] Vikram Sarabhai Space Ctr, Struct Anal & Testing Grp, Trivandrum 695022, Kerala, India

[2] Vivekananda Inst Technol, Dept Comp Sci & Engn, Bangalore 560074, Karnataka, India

[3] SVH Coll Engn, Dept Math, Machilipatnam 521002, India

[4] CV Raman Nagar, Compressor Grp, Gas Turbine Res Estab, Bangalore 560093, Karnataka, India

来源：

JOURNAL OF SOUND AND VIBRATION | 2005年 / 285卷 / 4-5期

关键词：

D O I：

10.1016/j.jsv.2004.11.001

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A study on a Duffing-harmonic oscillator was discussed. An approximate frequency-amplitude relation for the equation of motion was analyzed which gave the results close to the exact solution. A periodic solution without numerical integration was also used by applying a rational harmonic balance approximation. It was observed that the restoring force in the equation was the same for both negative and positive amplitudes.

引用

页码：1217 / 1222

页数：6

共 50 条

[31] ANALYTICAL METHOD OF CONTROLLING CHAOS IN DUFFING OSCILLATOR
KAPITANIAK, T
JOURNAL OF SOUND AND VIBRATION, 1993, 163 (01) : 182 - 187
[32] ANALYTICAL CONDITION FOR CHAOTIC BEHAVIOR OF THE DUFFING OSCILLATOR
KAPITANIAK, T
PHYSICS LETTERS A, 1990, 144 (6-7) : 322 - 324
[33] Multiple-parameters technique for higher accurate numerical solution of Duffing-harmonic oscillation
Y. Z. Chen
Acta Mechanica, 2011, 218 : 217 - 224
[34] THE DUFFING OSCILLATOR - ANALOG SOLUTIONS AND A COMPARISON WITH HARMONIC LINEARIZATION
FREHLICH, RG
NOVAK, S
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1985, 20 (03) : 123 - 134
[35] Nonlinear Duffing oscillator model for third harmonic generation
Scalora, M.
Vincenti, M. A.
de Ceglia, D.
Cojocaru, C. M.
Grande, M.
Haus, J. W.
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2015, 32 (10) : 2129 - 2138
[36] A DISCUSSION OF AN ANALYTICAL METHOD OF CONTROLLING CHAOS IN DUFFING OSCILLATOR
SZEMPLINSKASTUPNICKA, W
JOURNAL OF SOUND AND VIBRATION, 1994, 178 (02) : 276 - 284
[37] A Kind of Novel Analytical Approximate Solution to the Duffing Oscillator
Qin, Yupeng
Zou, Li
Wang, Zhen
Yu, Zongbing
2018 INTERNATIONAL CONFERENCE ON COMPUTER INFORMATION SCIENCE AND APPLICATION TECHNOLOGY, 2019, 1168
[38] ONSET OF CHAOS AND GLOBAL ANALYTICAL SOLUTIONS FOR DUFFING OSCILLATOR
SCHMIDT, G
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1986, 66 (03): : 129 - 140
[39] Analytical threshold for chaos in a Duffing oscillator with delayed feedbacks
Shen, Yong-Jun
Wen, Shao-Fang
Yang, Shao-Pu
Guo, Shu-Qi
Li, Lin-Ru
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2018, 98 : 173 - 179
[40] Exact analytical solutions for forced undamped Duffing oscillator
Starossek, Uwe
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2016, 85 : 197 - 206

← 1 2 3 4 5 →