二阶非线性系统随机响应极值分布近似计算及应用

APPROXIMATE CALCULATION OF THE EXTREMA DISTRIBUTION OF RANDOM RESPONSE OF SECOND ORDER NONLINEAR SYSTEM AND ITS APPLICATION

本文根据二阶非线性系统的特点,对作者过去提出的利用Hermite多项式展开得到的极值分布密度公式作了合理的简化。尔后较系统地对各种类型的二阶非线性系统的模型试验(CALM系统等)结果进行了分析比较,证明了简化公式的正确性。

Based on the behaviours of second order nonlinear systems, the authors make a reasonable simplification for their extrema distribution formula, which is obtained from Hermite polynomials presented formerly by the authors. A systematic comparison of the test results of CALM system with various types of second order nonlinearities are analysed, which verifies that authors' simplication is correct.