[1]丁一飞.有阻尼Duffing方程的二阶次谐振动及其稳定性研究[J].东南大学学报(自然科学版),1986,16(5):117-127.[doi:10.3969/j.issn.1001-0505.1986.05.014]
 Ding Yifei.Investigation of the Second-Order Subharmonic Oscillation for the Duffing Equation with Damping and Its Stability[J].Journal of Southeast University (Natural Science Edition),1986,16(5):117-127.[doi:10.3969/j.issn.1001-0505.1986.05.014]
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有阻尼Duffing方程的二阶次谐振动及其稳定性研究()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
16
期数:
1986年第5期
页码:
117-127
栏目:
本刊信息
出版日期:
1986-09-20

文章信息/Info

Title:
Investigation of the Second-Order Subharmonic Oscillation for the Duffing Equation with Damping and Its Stability
作者:
丁一飞
南京工学院航天工业部二一○研究所
Author(s):
Ding Yifei
Research Institute 210 of Ministry of Aerospace Industry
关键词:
有阻尼 Duffing方程 次谐振功 振动稳定性
Keywords:
damped Dulling equation subharmonic vibration vibrtion stability
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1986.05.014
摘要:
本文借助渐近法给出了有阻尼Duffing方程二阶次谐和解的解析表达式,并讨论了定常运动的稳定性。给定了一系列参数,应用Rungc-Kutta法作了数值计算,绘制了x(f)、■(t)的时间历程图以及x-■相平面图。此外,还提供了无阻尼Duffing方程的八阶和十六阶次谐振动的计算结果。所有这些结果都是十分满意的。
Abstract:
In this paper, the author presents the analytical expression of the secondorder subharmonic solution for the Dulling equation with damping by means of asymptotic method and discusses its stability of steady-state motion. After selecting a series of parameters, numerical calculations of the subharmonic oscillation are completed by using the Runge-Kutta method. Time history diagrams x(t) and x(t) and x-x phase plane plots are drawn. Besides, the calculation results of the eighth-order and sixteenth-order subharmonic oscillations are obtained for the Dulling equation without damping. All of these are quite satisfactory.
更新日期/Last Update: 2013-05-01