The refined algorithm of generalized density evolution equation based on reproducing kernel particle method
Received:June 08, 2016  Revised:June 18, 2016
View Full Text  View/Add Comment  Download reader
DOI:10.7511/jslx201604019
KeyWord:stochastic dynamics system  probability density  reproducing kernel particle method  refined algorithm
     
AuthorInstitution
李杰 同济大学 土木工程学院, 上海
孙伟玲 同济大学 土木工程学院, 上海
Hits: 1910
Download times: 1898
Abstract:
      The response of dynamic systems can be approximated by the particle approximation or the reproducing kernel particle method.The refined algorithm of generalized density evolution equation is developed based on the reproducing kernel particle method.The steps of the refined algorithm are detailed in the paper.Through the system of a single degree of freedom as an example,the accuracy of the refined algorithm is investigated based on the PDFs of the response.Then through a stochastic sturcture of multi degrees of freedom as an example,the refined algorithm based on the reproducing kernel particle method can slove the nonlinear stochastic system.