摘要
利用拉格朗日方程建立了三质点弦振子振动方程,对其振动进行了分析;研究了三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MAPLE 9.0计算机绘图,作出了振幅比和固有频率随参数变化曲线.结论:振幅比与参数β无关,振幅比随参数α的增大而增大;固有频率随参数β的增大而增大,随参数α的增大而减小;三质点弦振子有模态局部化现象.
In this paper, by use of the Lagrange＇s equation, a vibration equation of three-particle string oscillator has been presented and its free vibration characteristics are analyzed, moreover, the modal localization phenomena of the three-particle string oscillator are studied and the “threshold value” forming its modal localization is found out. Further, by means of MAPLE 9.0 software, the curves that the amplitude ratio and the natural frequency changing with parameters are plotted. Thus some conclusions are drawn that the amplitude ratio is independent upon the parameter β and rises with the increase of parameter α; the natural frequency becomes bigger with the increase of parameter β, but smaller with the increase of parameter α; and there is a modal localization phenomena in three-particle string oscillator.
出处
《海南大学学报（自然科学版）》
CAS
2005年第3期206-209,共4页
Natural Science Journal of Hainan University
基金
原湖南省教委青年骨干教师基金资助
湘教高(9830)
关键词
三质点
弦振子
振动分析
固有频率
模态局部化
three-particle
string oscillator
vibration analysis
natural frequency
modal localization
