一维随机场的解析解

Analysis of One-dimensional Stochastic field

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.