CAJ | 학술논문

为了研究随机扰动对碰摩转子系统振动特性的影响，建立了随机扰动下的碰摩转子的动力学模型，利用四阶龙格—库塔法对该模型进行求解，得到了系统的非线性振动特性。结果表明随机扰动对碰摩转子的运动特征有显著的影响，这种影响与随机扰动的强度有关。当随机扰动强度系数不超过某一常数时，扰动只影响倍周期分岔点处或者周期运动与拟周期或混沌运动结合点处的周期运动形式，而对原周期运动的影响较小。当随机扰动强度系数大于某一常数时，随机扰动不仅使原周期运动变为拟周期或混沌运动，而且也使原混沌运动的系统行为特征变得更为复杂，振动幅值显著增大。所以在实际的转子系统运行中应尽量减少或避免随机扰动的发生，以使系统运行更加稳定。
위료연구수궤우동대팽마전자계통진동특성적영향，건립료수궤우동하적팽마전자적동역학모형，이용사계룡격—고탑법대해모형진행구해，득도료계통적비선성진동특성。결과표명수궤우동대팽마전자적운동특정유현저적영향，저충영향여수궤우동적강도유관。당수궤우동강도계수불초과모일상수시，우동지영향배주기분차점처혹자주기운동여의주기혹혼돈운동결합점처적주기운동형식，이대원주기운동적영향교소。당수궤우동강도계수대우모일상수시，수궤우동불부사원주기운동변위의주기혹혼돈운동，이차야사원혼돈운동적계통행위특정변득경위복잡，진동폭치현저증대。소이재실제적전자계통운행중응진량감소혹피면수궤우동적발생，이사계통운행경가은정。
This paper establishes the system dynamics model with white noise as random disturbance in order to study the nonlinear vibration characteristics of rub?impact rotor system. And the Fourth?Order Runge?Kutta integral method is employed to obtain the numerical solution. It shows that random disturbance signal has a significant im?pact on the movement characteristics of the rub?impact rotor, and this effect has a close relationship with the strength of disturbance signal. Generally speaking, random disturbance affects the period?doubling bifurcation point or the combining site of system movement between periodic motion and quasi periodic or chaotic motions only when the strength of disturbance signal is smaller than a constant. But when the strength is bigger than a constant, it not only makes the original periodic motion turn into a quasi periodic or chaotic motion, it also renders the original cha?otic motions of the system more complex. So it needs to reduce or avoid the random disturbance in order to make the system steadier.