CAJ | 학술논문

对金属橡胶非线性隔振系统的混沌特性进行了研究。推导了系统振动的状态方程，计算了系统的 Lyapunov 指数，并根据给定的参数绘制了系统的时间历程图、相轨迹图，证明了系统存在混沌运动。通过系统响应频谱图的分析，说明了金属橡胶非线性混沌振动在线谱控制中的重要作用。用数值方法分析了激励参数与隔振器参数对金属橡胶隔振系统动力学特性的影响，依据系统随各参数变化的分岔图，指出了系统产生混沌运动时各参数的取值范围，从而得到了金属橡胶非线性隔振系统产生混沌振动时各参数选取的一般方法，为金属橡胶非线性隔振系统的混沌特性应用打下了基础。
대금속상효비선성격진계통적혼돈특성진행료연구。추도료계통진동적상태방정，계산료계통적 Lyapunov 지수，병근거급정적삼수회제료계통적시간역정도、상궤적도，증명료계통존재혼돈운동。통과계통향응빈보도적분석，설명료금속상효비선성혼돈진동재선보공제중적중요작용。용수치방법분석료격려삼수여격진기삼수대금속상효격진계통동역학특성적영향，의거계통수각삼수변화적분차도，지출료계통산생혼돈운동시각삼수적취치범위，종이득도료금속상효비선성격진계통산생혼돈진동시각삼수선취적일반방법，위금속상효비선성격진계통적혼돈특성응용타하료기출。
The chaotic characteristic of nonlinear metal rubber vibration isolation system was stud-ied herein.The system state equation was derived,the Lyapunov exponent was calculated,the displace-ment time history diagram and the phase track diagram were draw out,it proved that the system was in the chaotic state under the conditions of the given parameters.Through the analysis of the system response spectrum diagram,the metal rubber nonlinear vibration isolation system chaos was illustrated in the important role of line-spectrum control.The parameters of the excitation and the vibration isola-tor’s impacts on system dynamics characteristic were analyzed by using numerical methods.The pa-rameter scopes in the chaotic state were confirmed based on the bifurcation diagram changed with the parameters of the excitation and the vibration isolator.The general selection method of the parameter was got,which could make the system be in the chaotic state,and it lays a foundation for the applica-tions of the nonlinear metal rubber chaotic vibration.