【摘要】 在不脱齿等基本假设下 ,根据齿轮啮合原理和轮齿的齿面方程 ,推导了齿轮形心的横向位移和齿轮扭转角之间的约束关系式。从 L agrange方程出发 ,同时考虑齿轮啮合和不平衡效应 ,建立了直齿齿轮啮合转子 -轴承系统的弯扭耦合动力学模型。分别在质量偏心和扭转激励作用下 ,分析了系统的弯扭耦合振动稳态响应。结果表明 :两者均会引起弯曲振动和扭转振动 ,并且响应的幅值与系统的参数有关更多还原

【Abstract】 Under some assumptions such as teeth contact and rigid gears, the constraint equation describing an inherent relationship between the lateral displacements in the centers and torsional angles of the mating gears is derived based on the engagement conditions and the equation of involute tooth profile. The dynamic model of the geared bearing rotor system are developed on the basis of the Lagrange’s Equation, in which the effects of the mesh of the gears and unbalance of rotors are considered. Afterwards, the steady state response of the coupled lateral torsional vibrations of geared rotors due to mass eccentricity and torsional excitation is analyzed. The numerical results show that the vibrations in lateral and torsional directions occur simultaneously in the above two cases, and the amplitudes of the response are related with the parameters of the geared system.更多还原