CAJ | 학술논문

针对变速器斜齿轮传动系统盘与轴横截面变化不大特点，基于改进无质量弹性轴当量抗扭刚度计算式的Prohl-Myklested方法，将该系统简化为较少自由度的集中参数模型，并仿真验证。获得圆盘两端轴段抗弯刚度不同情况的盘-轴系统刚度矩阵计算公式，建立具有各轴抗弯抗扭刚度不同、两端集中质量、非对称弹性支承特点的斜齿轮转子系统运动微分方程。计算传动系统非线性特性。结果表明，采用改进的Prohl-Myklested方法对汽车变速器传动系统进行降维处理模型能准确反映系统动力学特性；齿侧间隙、时变啮合刚度耦合作用导致系统产生复杂非线性现象，提取出齿侧间隙过大时故障特征，为该类齿轮系统故障诊断提供依据。
침대변속기사치륜전동계통반여축횡절면변화불대특점，기우개진무질량탄성축당량항뉴강도계산식적Prohl-Myklested방법，장해계통간화위교소자유도적집중삼수모형，병방진험증。획득원반량단축단항만강도불동정황적반-축계통강도구진계산공식，건립구유각축항만항뉴강도불동、량단집중질량、비대칭탄성지승특점적사치륜전자계통운동미분방정。계산전동계통비선성특성。결과표명，채용개진적Prohl-Myklested방법대기차변속기전동계통진행강유처리모형능준학반영계통동역학특성；치측간극、시변교합강도우합작용도치계통산생복잡비선성현상，제취출치측간극과대시고장특정，위해류치륜계통고장진단제공의거。
Based on the method of Prohl-Myklested,a formula was proposed to calculate equivalent torsional stiffness of a massless elastic shaft.Because sections of disks of an automotive transmission helical gear system had little change compared with those of a shaft,it was simplified as a lumped-parameter model with fewer DOFs using that method. The simplified model was validated with simulations.The stiffness matrix of a shaft-disk system was proposed with different bending stiffnesses of shafts at both ends of the disk.Moreover,equations of motion of a helical gear rotor system with lumped masses at both ends,asymmetric elastic supports and different bending stiffness and torsional stiffness of each shaft section were established.Then the numerical integration method was employed to study the non-linear characteristics of the system.The results showed that the model of an automotive transmission helical gear system with its dimensional number reduced using the method of Prohl-Myklested improved can accurately reflect the dynamic characteristics of the system;backlash coupled with time-varying stiffness causes the system's complex non-linear phenomena;meanwhile,fault characteristics due to excessive backlash are extracted to provide an evidence for gear system fault diagnosis.