摘要
利用拉格朗日方程建立了双质点弦振子振动方程,对其振动进行了分析;利用级数展开,得到了双质点弦振子的级数解.研究了双质点弦振子的模态局部化现象,找到了产生模态局部化的"阈值".利用MAPLE9.0计算机绘图,作出了级数解和振幅比随参数变化曲线.所得结论为振幅比与参数β无关,振幅比和级数解随参数α的增加而增加;级数解随参数β增加而减小.双质点弦振子有模态局部化现象.
Through the Lagrange's equation, the vibration equation of double particle string oscillator has been established. The vibration of string oscillator is analyzed. By using of the expansion into series, the series solution is got. The mode localization phenomena of string oscillator are studied, and the 'threshold value' is calculated. By using of the MAPLE9.0, the curve of the amplitude ratio and expansion into series is drawn following the parameter change. The conclusions are that the amplitude ratio has no link to parameter β, the amplitude ratio and the series solution increase with the increase of parameter α but the series solution decreases with the increase of parameter β. The double particle string oscillator has mode localization phenomena.
出处
《甘肃科学学报》
2005年第1期25-27,共3页
Journal of Gansu Sciences
基金
湖南省教委青年骨干教师科研基金(2004)
关键词
双质点
弦振子
振动分析
级数展开
模态局部化
double particle
string oscillator
vibration analysis
expansion into series
mode localization
