一维随机场的解析解

Analysis of One-dimensional Stochastic field

假定梁的弹性特性可用一维随机场来描述,研究了弹性静定梁一维随机场问题。对几种不同功率谱密度函数和自相关函数的随机场,在均布荷载、集中荷载和集中力偶作用下,给出了悬臂梁挠度解。并从理论上证明了,在一般情况下,即使是静定结构,在确定性荷载作用下,一维随机场的解答不满足叠加原理。

It is assumed that the flexibility of a beam may be described by a one -dimensional field. The response variability of statically determinate beams with a concentrated load,a concentrated mo- ment or a uniform load is determined.This study analyses the response for three cases in which the spectral density function and autocorrelation function of the stochastic fileld take limiting shapes.This paper proves that in general,through the statically determinate beams are subjected to determined loads,the solutions of the beams do not satisfy the principle of superposition.