CALCULATING ACCURATE PERIODIC MOTIONS OF HARMONICALLY FORCED PIECEWISE LINEAR OSCILLATORS

作     者：王福新 胡海岩 

作者机构：南京航空航天大学振动工程研究所 

出 版 物：《Transactions of Nanjing University of Aeronautics and Astronautics》 (南京航空航天大学学报（英文版）)

年 卷 期：1996年第13卷第2期

页      面：23+19-22页

学科分类：08[工学] 0825[工学-航空宇航科学与技术] 

基　　金：国家自然科学基金 国家教委跨世纪优秀人才基金 

主　　题：periodic motions numerical analysis piecewise linear oscillator shooting technique 

摘      要：This paper presents an efficient numerical scheme for calculating the periodic motion of a harmonically forced piecewise linear oscillator very accurately. The scheme is based on the shooting technique with the traditional numerical Poincare mapping and its Jacobian replaced by the piecewise analytic ones. Thus, the scheme gets rid of the requirement of the current schemes for an assumed order of the oscillator trajectory passing through different linear regions. The numerical examples in the paper demonstrate that the new scheme, compared with the current schemes, enables one to cope with more complicated dynamics of harmonically forced piecewise linear oscillators.