%0 Journal Article
%T THE PROBABILITY DENSITY FUNCTIONS OF THE STATIONARY RESPONSE OF CERTAIN CLASSES OF NONLINEAR SYSTEMS TO STOCHASTIC EXCITATION<br>几类非线性系统平稳随机响应的概率密度
%A Zhu Weiqiu
%A <br>朱位秋
%J 力学学报
%D 1991
%I 
%X In the present paper the nonlinear systems with energy-dependent nonconserva-tive forces are considered. The exact probability density functions of the stationary response of four classes of such systems to white noise external and/or parametric excitations are constructed. The conditions under which the steady-state solution exists are discussed. It is pointed out that all the steady-state solutions available up to now are special cases of the present solutions. Several examples are also given to illustrate the general results.
%K random excitation
%K nonlinear systems
%K Markov processes<br>非线性系统
%K 随机响应
%K 概率密度
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=CF7AE27D61BB4DB9B6CFEDD588B69151&yid=116CB34717B0B183&vid=EA389574707BDED3&iid=CA4FD0336C81A37A&sid=08805F9252973BA4&eid=331211A5F5616413&journal_id=0459-1879&journal_name=力学学报&referenced_num=0&reference_num=0