摘要
研究具有奇非线性单自由度保守系统的非线性振动。将控制方程的线性化与调和平衡法组合起来,建立周期及周期解的解析逼近公式.这些公式既适用于小振幅又适用于大振幅情况.举例说明提出方法的有效性.
This paper deals with the nonlinear oscillations of conservative singledegreeoffreedom systems with odd nonlinearity. By combining the linearization of the governing equation with the method of harmonic balance, we have established analytical approximate formulas for the period and the periodic solution. These formulas are valid for oscillations with small as well as large amplitude. It is illustrated by one example that the proposed formulas can give very satisfactory approximate results.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
2002年第4期350-354,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:19972023)
教育部优秀青年教师基金
高等学校骨干教师基金.
