具有低频特性的二阶非线性系统随机响应最大值预报  

EXTREME VALUE PREDICTION FOR NONLINEAR RESPONSE OF SECOND-ORDER SYSTEM WITH SLOW DRIFT MOTION

作　　者：於家鹏 余滋红 

机构地区：[1]中国船舶及海洋工程研究设计院

出　　处：《中国造船》1997年第1期25-32,共8页Shipbuilding of China

摘　　要：本文通过把级数展开法与Kac－Siegert方法相结合，克服两者的不足之处，得到了精确的（包括渐近情况）极值分布表达式，并在此基础上得到了在某一时间内对应于某一概率的最大值的估算式，此外还得到了在一次观测中最有可能出现的最大值的估算式。通过模拟计算，证明公式是可靠的，且线性理论已不再适用于这类非线性系统。A method is proposed for approximately computing the statistical distributions of the maxima and extreme values of a combined first and second-order random process. First,the statistical distributions of the maxima is derived using the joint of Hermlte polynomial and asymptotical formula derived by A. Naess. Second, an approximate formula is derived for calculation of extreme values. By the comparison between calculated results and simulated time domain results, it is shown that the approximate method may be useful.

关 键 词：船舶运动 非线性系统 随机响应 最大值 统计预报 

分 类 号：U661.324[交通运输工程—船舶及航道工程]