一类非线性系统随机振动的等效线性化

EQUIVALENT LINEARIZATION TECHNIQUE TO A CLASS OF NON-LINEAR MULTI-DEGREE OF FREEDOM SYSTEM

本文根据机械振动系统中弹性力、阻尼力只决定于弹性元件的变形和阻尼元件的相对速度的特点，建立了一种处理一类多自由度非线性系统随机振动的新方法。此方法物理意义明确，计算量小，是处理这类非线性系统随机振动行之有效的方法。

Based on the mechanic vibration system's characteristic that it's elastic forces are only de pendent on deformations of elastic elements and damping forces only on relative velocity of damp ing elements,a new equivalent linearization technique to a class of non-linear multi-degree of freedom system's random vibration is established in this paper. Because its physical meaning is clear and its calculation is simple the method is an effective way for dealing with random vibration of non-linear multi-degree of freedom systems.