CAJ | 학술논문

基于π油膜假设，运用变分约束原理和分离变量法求得了有限长动压轴承非线性油膜力的近似解析表达式。通过计算比较可知，该方法和有限元法的计算结果非常接近，而且可以节约大量计算时间。在此基础上，以转子的角速度、圆盘处的偏心量及转轴的刚度为控制参数，运用 Newmark 法分析了轴承转子系统的非线性动力学行为。数值结果揭示系统具有周期运动、倍周期运动、准周期运动、六周期运动、十周期运动等复杂丰富的非线性动力学特征。
기우π유막가설，운용변분약속원리화분리변량법구득료유한장동압축승비선성유막력적근사해석표체식。통과계산비교가지，해방법화유한원법적계산결과비상접근，이차가이절약대량계산시간。재차기출상，이전자적각속도、원반처적편심량급전축적강도위공제삼수，운용 Newmark 법분석료축승전자계통적비선성동역학행위。수치결과게시계통구유주기운동、배주기운동、준주기운동、륙주기운동、십주기운동등복잡봉부적비선성동역학특정。
Based on the assumption ofπoil film,an approximation expression of nonlinear oil film force of finite hydrodynamic bearing was obtained by variational constraint principal and the separation of variables.The results calculated by the proposed method are in good agreement with the oil film forces by the finite element method,and the computing cost is reduced greatly.Based on the nonlinear oil film force,the speed of rotor,eccentricity of disk and stiffness of shaft were taken as control pa-rameters,nonlinear dynamic behaviors of bearing-rotor system were analyzed by Newmark method. Numerical results reveal periodic,double-periodic,quasi-periodic,6-periodic,10-periodic of rich and complex nonlinear behaviors of the system.