具有一般势能函数非线性振子周期的解析逼近

Analytical Approximations to Periods of Nonlinear Oscillatorswith General Potential Functions

LI Pengsong¹, SUN Weipeng²

1. College of Sciences, Northeast Dianli University, Jilin 132012, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2007-10-26 Revised:1900-01-01 Online:2008-05-26 Published:2008-05-26
Contact: SUN Weipeng

Abstract

Abstract: Based on the analytical approximations to period of nonlinear oscillators with even potential functions, a new analytical approximate period to nonlinear oscillators with general potential functions is established. The new approximation converges fast and it can also be used to derive the analytical approximate periods of nonlinear oscillators with general potential functions having the form of piecewise expressions.

Key words: nonlinear oscillator, even potential functions, general potential functions, analytical approximation

CLC Number:

O322

LI Pengsong, SUN Weipeng. Analytical Approximations to Periods of Nonlinear Oscillatorswith General Potential Functions[J].J4, 2008, 46(03): 428-432.

[1]	MENG Yan-Beng, SUN Wei-Feng, ZHANG Jie-Jie. Construction of Analytical Approximate Solutionsto Relativistic Harmonic Oscillators [J]. J4, 2013, 51(01): 83-88.
[2]	ZHOU Shuo, YANG Shi-Tong, JIANG Zhen. A Vibration Inverse Problem of StarLike Spring Mass System [J]. J4, 2010, 48(06): 946-949.
[3]	ZHOU Shuo. Inverse Problem for the Vibrating Beamfrom Its Defective Eigenpair [J]. J4, 2008, 46(04): 655-657.
[4]	LI Pengsong, SUN Weipeng. Analytical Approximate Solutions to a Class of Nonlinear Jerk Equations [J]. J4, 2007, 45(02): 193-196.
[5]	LI Peng-song,SUN Wei-peng. A New Method for Analytical Approximate Solutions to the Duffing-Harmonic Oscillator [J]. J4, 2006, 44(02): 170-174.
[6]	ZHOU Xian-bo,LI Peng-song,WU Bai-sheng. Analytical Approximations to Period and Periodic Solution for a Class of Nonlinear Oscillators [J]. J4, 2002, 40(04): 350-354.
[7]	XU Xu, LIANG Yan-chun, SHI Xiao-hu. Analysis of Frequency-temperature Characteristicsof Ultrasonic Motors [J]. J4, 2002, 40(02): 109-113.
[8]	LI Peng-song, ZHOU Xian-bo, WU Bai-sheng. A Modified Mickens Procedure for Certain Nonlinear Oscillators [J]. J4, 2002, 40(01): 27-30.

Analytical Approximations to Periods of Nonlinear Oscillatorswith General Potential Functions

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 8

Metrics

Comments

Recommended 0