线性振子临界阻尼特性的能量分析

The Energy Analysis of Critical Damping Characteristics of a Linear Oscillator

从能量出发 ,分析线性振子的临界阻尼特性 ,从而证明 :在特定条件下处于临界阻尼状态的线性振子能越过平衡位置一次 ;振子的势力F临(t)具有“临界性” ;振子的能量E临(t)曲线具有“最快收敛”特性。

The critical damping characteristics of a linear oscillator was analyzed based on energy method and the conclusion obtained is that the linear oscillator at critical damping state can pass the balance site once under specific condition,the force of the oscillator possesses the“critical property”and the energy E(t) curve of the oscillator is the fastest convergent.