随机振动的一种加权等价线性化方法

加权等价线性化方法是研究非线性随机振动的一种有效近似方法。关健在于找到一个合适的权函数使之对多数非线性问题都有比较满意的结果。本文提出一种类似峰值概率密度函数的权函数,由此构成一种加权等价线性化方法,借几个各具特点的非线性振动系统进行了可行性验证,表明与一般的等价线性化方法相比,本法所得的均方响应精度有相当程度的改善。

A Weighted Equivalent Linearization Technique For Random Vibration Analysis

The weighted equivalent linearization technique is an effective approximation for nonlinear random vibration analysis. A key to the success is to find a weighting function beneficial to most nonlinear random problems. A weighting function, similar to the probability density function of peak values, is suggested in this paper to form a weighted equivalent linearization technique. The validity of the method is verified through examples on several distinguishing nonlinear vibration systems. The numerical results show that the accuracy of mean square responses obtained by the method is greatly improved against the conventional equivalent linearization one's.