CAJ | 학술논문

大型旋转机械转子、静碰摩故障具有高维非线性特征，由此产生的机械故障时有发生。根据某航空发动机转子，考虑非对称圆盘的陀螺力矩效应条件下，利用拉格朗日原理建立8个自由度弹性支撑转子系统的碰磨动力学模型。研究表明，当系统发生碰磨时，其幅频特性有明显变化；引进改进的POD方法成功将具有碰磨故障的系统降维为具有两个自由度低维非线性系统。数值模拟结果显示降维系统具有与原系统一致的非线性动力学特征，表明本方法对解决高维非线性问题具有较好的有效性。此外，还利用C-L方法对其进行分岔分析，讨论了系统参数与系统动态行为之间的关系，得到了含碰磨故障转子各种不同分岔模式，准确反映了碰磨转子的动力学特征。
대형선전궤계전자、정팽마고장구유고유비선성특정，유차산생적궤계고장시유발생。근거모항공발동궤전자，고필비대칭원반적타라력구효응조건하，이용랍격랑일원리건립8개자유도탄성지탱전자계통적팽마동역학모형。연구표명，당계통발생팽마시，기폭빈특성유명현변화；인진개진적POD방법성공장구유팽마고장적계통강유위구유량개자유도저유비선성계통。수치모의결과현시강유계통구유여원계통일치적비선성동역학특정，표명본방법대해결고유비선성문제구유교호적유효성。차외，환이용C-L방법대기진행분차분석，토론료계통삼수여계통동태행위지간적관계，득도료함팽마고장전자각충불동분차모식，준학반영료팽마전자적동역학특정。
Rubbing fault is an often occurred complex high-dimensional nonlinear problem in large rotating machinery system .In this paper , a rotor system of an aero engine was modeled into an eight degree of freedom nonlinear system with gyroscopic moment effect using La-grange method.The investigations to the modeled system showed the nonlinear rubbing fault characteristics .This high dimensional nonlinear system could be reduced into a two degree of freedom system by introducing the modified POD method .Numerical simulations demonstra-ted the efficiency of the method by comparison with the computed results given for both the o-riginal and the reduced systems .C-L method was also employed to obtain the dynamical behaviors of the reduced system , which reflected the natural property of the rubbing fault .