摘要
应用拉格朗日方程方法研究了理想对称三弹性振子做二维运动的变化规律,得到其微小振动的控制方程,用数值解法求解了振动方程,得到了振子运动的时程响应图样.结果表明:理想对称三弹性振子的振动为非简谐的周期性振动,它的振动周期在x方向和y方向与振幅成反比,但受振幅影响不大.波形与振幅无关,可看成是一个变形了的余弦波.
The study deals with two dimension vibrations of three flexible symmetric simple harmonic oscillator. The non-linear vibration equations of this model are obtained by using the Lagrange function method in order to solve them by using numerical method. The results show that the small vibration of this ideal model is anharmonic, and the period of vibration in x di- rection and y direction are inversely proportion to the amplitudes respectively but influenced a little by them, and the deformation of the waves that could he seen as an asimilar cosine waveshap are independent to the amplitude.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期82-85,共4页
Journal of Henan Normal University(Natural Science Edition)
关键词
非线性振动
对称三弹性振子
微小振动
nonlinear vibration, three flexible symmetric simple harmonic oscillator, the small vibration
