%0 Journal Article
%T Resonance response of a single-degree-of-freedom nonlinear dry system to a randomly disordered periodic excitation<br>窄带随机噪声作用下单自由度非线性干摩擦系统的响应
%A Rong Hai-Wu
%A Wang Xiang-Dong
%A Xu Wei
%A Fang Tong
%A <br>戎海武
%A 王向东
%A 徐伟
%A 方同
%J 物理学报
%D 2009
%I 
%X The resonance response of a single-degree-of-freedom nonlinear dry oscillator of Coulomb type to narrow-band random parameter excitation is investigated. The analysis is based on the Krylov-Bogoliubov averaging method. The averaged equations are solved exactly and the algebraic equation of the amplitude of the response is obtained in the case without random disorder. Linearization method and moment method are used to obtain the mean square response amplitude for the case with random disorder. The effects of damping, nonlinear intensity, detuning, bandwidth, dry intensity, and magnitudes of random excitations are analyzed. The theoretical analyses are verified by numerical results. Theoretical analyses and numerical simulations show that the peak amplitudes may be strongly reduced and the bifurcation of the system will be delayed when intensity of the nonlinearity increases. The peak amplitudes will also be reduced and the bifurcation of the system will be delayed when damping and dry intensity of the system increases.
%K single-degree-of-freedom nonlinear dry system
%K resonance response
%K Krylov-Bogoliubov averaging method<br>单自由度非线性干摩擦系统，
%K 主共振响应，
%K Krylov-Bogoliubov平均法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=F7F894DA4DABB115755FFAD9CD8153F3&yid=DE12191FBD62783C&vid=9FFCC7AF50CAEBF7&iid=708DD6B15D2464E8&sid=D8CBD9E6D7A33C34&eid=33D36AE7DB6C92B6&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0