摘要
利用拉格朗日方程建立了耦合摆的矩阵方程,对失调耦合摆振动进行了分析;研究了失调耦合摆的模态局部化现象,利用MAPLE9.0计算机绘图,作出了振幅比和固有频率随参数变化的三维曲线.得出固有频率随参数ε和β的增大而增大;失调耦合摆有模态局部化现象,第一阶模态振幅比随ε的增大而增大.
Through the Lagrange＇s equation, the matrix equation of coupled pendulums is established, the vibration of disorderly coupled pendulums is analyzed; the vibration of disorderly coupled pendulums is studied, and by using the MAPLE9.0, the three-dimensional curve of the amplitude ratio and natural frequency is drawn following the parameter change. The conclusions are that natural frequency increases with the increase of parameter ε and β; the disorder of coupled pendulums has a mode localization phenomena, at the first-order mode localization phenomena, the amplitude ratio increases with the increase of parameter ε.
出处
《大学物理》
北大核心
2005年第8期21-24,共4页
College Physics
基金
湖南省教委青年骨干教师基金资助项目(湘教9830)
关键词
耦合摆
振动分析
固有频率
失调
模态局部化
coupled pendulums
vibration analysis
natural frequency
disorder
mode localization
