An Improved Solution About Linear Single Degree of Freedom Compound Stochastic System

Abstract:

By taking the independence of space stochastic field and random process into consideration,the conventional perturbation pseudo excitation method(PPEM) is improved and mean or variation of stochastic response can be directly obtained.During the previous researches,the independence was neglected,and so stochastic response variation was function of stochastic variables.As a result,means and variations of response variation had to be solved.Computational results of single degree of freedom(SDOF) compound stochastic system reveal that the improved PPEM is more reasonable.Being different from the fact that the response variation of stochastic system based on the conventional perturbation pseudo excitation method is decided by reliability,response variation based on the improved perturbation pseudo excitation method is not decided by reliability,which is in conformity with the statistic regularity.In fact,variation describes only the divergence of random data and is independent of reliability.