重复型相同分段多自由度振动系统分析

Analysis on a vibration system of repetitive same subsections with multiple degrees of freedom

构造了一种单摆和弹簧组成的重复型相同分段多自由度振动系统,导出了计算振动系统固有圆频率和振型矢量的简单公式,并对公式进行了证明和验证,同时导出了计算系统运动学方程中待定常数的公式.

A vibration system of repetitive same subsections with multiple degrees of freedom for simple pendulums and springs is formed. The simple expressions of the natural circular frequency and mode vectors of the vibration system are derived, shown and testified. Moreover, the expression of integral constants in the kinematics equations is obtained.