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全悬挂多点啮合柔性传动的动力学模型
引用本文:廖道训,梅华平.全悬挂多点啮合柔性传动的动力学模型[J].华中科技大学学报(自然科学版),1990(Z3).
作者姓名:廖道训  梅华平
作者单位:华中理工大学机械工程一系 (廖道训),华中理工大学机械工程一系(梅华平)
摘    要:本文根据第二类拉格朗日方程对全悬挂多点啮合柔性传动装置建立了完整的运动微分方程,其中不仅考虑了悬挂齿轮箱牵连转动的影响及作用于电动机定子上的电磁力矩,还计及了耗散力的广义力.文中使用能量法推导了扭力杆缓冲装置的等效扭转刚度,用广义雅可比法求解了系统的广义特征值问题,并通过计算验证了 12自由度和3自由度两种动力学模型的正确性和一致性.

关 键 词:全悬挂多点啮合柔性传动  动力学模型  第二类拉格朗日方程  广义特征值  固有频率  固有振型

A Dynamic Model for Fully-Mounted Multi-Point Meshing Flexible Drive
Liao Daoxun,Mei Huaping.A Dynamic Model for Fully-Mounted Multi-Point Meshing Flexible Drive[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1990(Z3).
Authors:Liao Daoxun  Mei Huaping
Institution:Liao Daoxun Mei Huaping
Abstract:A complete differential motion equation for a flexible drive with fully-mounted multi-point meshing has been developed based on a Lagrange equation of the second kind. Not only the influence of implicative transportation rotation of the mounted gear box and the electromagnetic torque acting on the stator of the electric motor, but also the generalized force of the dissipative force have been taken into consideration. The equivalent torsional stiffness of torsion bar buffer assembly is derived by the energy method and the generalized eigenvalue of the system is found by the Generalized Jacobi Method. The correctness and consistency of the two dynamic models for 12 and 3 degrees-of-freedom have been verified by numerical calculation respectively.
Keywords:Flexible drivew ith fully-mounted multi-point meshing  Dynamic model  Lagrange equation of the second kind  Generalized eigenvalue  Natural frequency  Natural modes
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