CAJ | 학술논문

研究一类典型的相对转动系统的系统参数引起的复杂运动（如混沌运动和安全域侵蚀），并对系统施加时滞速度反馈来控制系统的这些复杂动力学行为，从而保障系统的振动可靠性。利用 Melnikov 函数法获得时滞速度反馈控制相对转动系统产生混沌和安全域分岔的临界激励；并数值模拟了系统在不同控制参数条件下的动力学行为，从而验证了理论分析的正确性。研究结果表明，在正的反馈增益系数下，时滞速度反馈能够有效地用于控制相对转动系统的混沌运动和安全域侵蚀。
연구일류전형적상대전동계통적계통삼수인기적복잡운동（여혼돈운동화안전역침식），병대계통시가시체속도반궤래공제계통적저사복잡동역학행위，종이보장계통적진동가고성。이용 Melnikov 함수법획득시체속도반궤공제상대전동계통산생혼돈화안전역분차적림계격려；병수치모의료계통재불동공제삼수조건하적동역학행위，종이험증료이론분석적정학성。연구결과표명，재정적반궤증익계수하，시체속도반궤능구유효지용우공제상대전동계통적혼돈운동화안전역침식。
The complex dynamic behaviors a typical relative rotation system,such as chaos and erosion of safe basin,induced by the variation of system parameters were investigated.In order to keep the reliability of the oscillation of the system,delayed velocity feedback was applied in the system to suppress these complex dynamic behaviors.The critical excitation for chaos and erosion of safe basin of the delayed velocity feedback controlled system was obtained by the Melnikov method.Then complex dynamic behaviors of the systems with different system parameters were stimulated numerically,which verifies the validity of the theoretical prediction.It is found that the delayed velocity feedback could be used as an effective method on suppressing chaos and erosion of safe basin of relative rotation systems.