CAJ | 학술논문

将非线性滚动轴承力模型与Alford力模型相结合，建立了转子系统的动力学模型，并研究了Alford力和非线性滚动轴承力共同作用下转子系统的非线性动力学特性。其中，将滚动轴承的实际接触角考虑进滚动轴承的模型中，并将改进后的滚动轴承模型与已有的结论作比较，达到了较好的一致性，说明用该模型来分析转子系统的动特性是可行的。继而针对角速度等因素对耦合系统动态响应的影响进行了仿真计算，给出了系统响应随转予角速度变化、滚动轴承间隙变化和转子偏心变化的分岔图，以及一些典型的Poincare截面映射图和功率谱图。数值仿真表明，在Alford力与滚动轴承力的共同作用下，系统呈现了复杂的动力学行为，产生了周期、拟周期和混沌等丰富的振动现象。
장비선성곤동축승력모형여Alford력모형상결합，건립료전자계통적동역학모형，병연구료Alford력화비선성곤동축승력공동작용하전자계통적비선성동역학특성。기중，장곤동축승적실제접촉각고필진곤동축승적모형중，병장개진후적곤동축승모형여이유적결론작비교，체도료교호적일치성，설명용해모형래분석전자계통적동특성시가행적。계이침대각속도등인소대우합계통동태향응적영향진행료방진계산，급출료계통향응수전여각속도변화、곤동축승간극변화화전자편심변화적분차도，이급일사전형적Poincare절면영사도화공솔보도。수치방진표명，재Alford력여곤동축승력적공동작용하，계통정현료복잡적동역학행위，산생료주기、의주기화혼돈등봉부적진동현상。
Under the conditions of both the nonlinear ball bearing force and Alford force, a dy- namic model of the rotor system was set up. Then nonlinear dynamic properties of rotor--ball bearing with Alford force were studied by means of numerical stimulation. The nominal contact angle of the ball bearing was introduced in the improved ball bearing method. And the result is in good agreement with the previous conclusions, so it is feasible using this method to predict the dynamic characteristics of a rotor system. By using the numerical value integral method, the influences of a series of factors on the nonlinear dynamic behaviors of the coupled system were studied. By changing the values of the rotation speeds, the ball bearing clearance and the rotor eccentricity, the bifurcation diagram was ob- tained respectively. Meanwhile the pictures of some typical Poincare maps and frequency spectra were also given. From the results of the numerical simulation, it is found that there are periodic motion, approximate--periodic motion and chaos motion under combined Alford force and ball bearing.