刚性杆和滑块组成的单自由度非线性振动

用动力学方法，导出了刚性杆和滑块组成的单自由度非线性振动系统的运动微分方程；求出了杆的摆动角速度和角加速度、杆与滑块的相互作用力与杆的摆角间的关系式；给出了系统振动周期的计算公式；借助Matlab软件画出了杆与滑块的相互作用力随角坐标的变化曲线及周期随角振幅的变化曲线．

The nonlinear vibration with one degree of freedom combined by the rigid rod and slippery body

With the method of dynamics, the differential equation of the rigid rod and slippery body is introduced; the formulas between the angle velocity and angle acceleration of rod and interactive force between rod and slippery body and swinging angle are derived; the formula calculating the period of vibration is given; the variation curve of the interactive force between rod and slippery body changing with angle coordinate and the variation curve of period of changing with angle amplitude are produced with the software of Matlab.