【摘要】 为研究碰摩转子的随机分岔及混沌特性,建立了白噪声下碰摩转子-轴承系统的动力学方程。利用数值积分法对方程求解,以最大Lyapunov指数为指标,并结合分岔图、轴心轨迹、Poincare映射分析了转子系统的非线性特性。结果表明,在拟周期及邻近周期解和转速较大的一定区间,随机扰动对转子有显著的影响;转子转速较大时,随机扰动的强度越大,其影响越明显,并且随机扰动对转子非线性响应具有一定的抑制作用。更多还原

【Abstract】 A dynamic differential equation of a rub-impact rotor-bearing system under white noise excitation was built to investigate the stochastic bifurcation and chaos behavior of the system. Through numerical integration,the solution to the equation was obtained. The nonlinear characteristics of the system were analyzed. With the help of the largest Lyapunov exponents,bifurcation diagrams,orbit maps and Poincare maps. It was indicated that the effect of the random disturbance on the response of the rotor is significant if the response of the rotor system is a quasi-periodic solution or a nearly periodic one or within a bigger rotation speed zone; the greater the random disturbance the more significant the influence when the rotation speed is bigger; the random disturbance has a certain suppression action on the nonlinear response of the rotor system.更多还原