西南交通大学 力学与工程学院，成都 610031
School of Mechanics and Engineering，Southest Jiaotong University，Chengdu 610031，China
The project supported by the National Natural Science Foundation of China(11732014)
The dynamic behaviors of a geometrically nonlinear oscillator with dry friction were studied by the event-driven method. Firstly， the geometrically nonlinear dry-friction oscillation system was modeled as a Filippov system. Then， the algorithm based on the event-driven method was introduced to solve the Filippov system with discrete vector field， which could accurately detect the entry and exit of the sliding motion area. Two different kinds of Poincare cross section were used to reveal the transformation process between different types of periodic motions with sliding process as parameters change. Finally， different types of sliding bifurcation and periodic doubling bifurcation were studied， and the existence of multiple sliding segments in the doubling process was found.
曾超,谢建华.一类几何非线性干摩擦振子的分岔研究[J].动力学与控制学报,2020,18(6):32~37; Zeng Chao, Xie Jianhua. BIFURCATION OF A CLASS OF GEOMETRICALLY NONLINEAR DRY-FRICTION OSCILLATORS[J]. Journal of Dynamics and Control,2020,18(6):32-37.复制