非线性系统非平稳响应的高阶线性化方法

Higher Order Linearization in Non-Stationary Random Response of Non-linear System

本文作者采用高阶线性化方法 ,先将非线性化系统线性化 ,然后用时域模态分析法求其响应。以杜芬振子为例 ,说明了该方法的应用。数值结果表明该方法较已有方法更接近数值模拟结果。即使在强非线性的情况下 ,也能获得令人满意的精度。

Linearize the non-linear system by higher order linearization, then analyze its response in time-mode method. Cite Dufeen-vibrator to explain the implement of this method. The data results indicate this method is closer to the numeric simulation results. Even in strong non-linear system, the method can achieve satisfying precision.