含万向铰偏斜轴系的过渡过程横扭耦合振动特性

为提供船艇推进、火炮、航空动力及传动装置机械设计的理论分析基础,建立了加速度冲击下含万向铰偏斜轴系横扭耦合振动模型,揭示了轴系的过渡过程横扭耦合振动特性。将从动轴视为弯曲刚性、扭转柔性的轴,用投影平面上动态偏斜角表示轴系横向振动,用拉格朗日方程推导了万向铰轴系过渡过程横扭耦合三自由度振动微分方程,结合振动响应仿真给出了加速度和系统参数对轴系过渡过程横扭耦合振动特性的影响规律。结果表明:负载转矩增大和刚度不对称性减小导致耦合振动系统颤振失稳区增大;在超谐共振区内,加速度增大对过渡过程系统振动起稳定作用,转矩、刚度和偏斜角增大导致过渡过程系统振动失稳区域变大。

Coupled torsion-lateral vibration characteristics of misaligned shafts driven through universal joint in transient process

The transient coupled torsional-lateral vibration model of misaligned shafts driven by universal joint under acceleration shock was established to reveal the characteristics of coupled torsion-lateral vibration.Considering the driven shaft to be flexurally rigid and torsionally flexible,the lateral vibration was defined by two projected slopes of dynamic misalignment.A 3-DOF differential equation about coupled torsional-lateral vibration of misaligned shafting during transient process was deduced by use of Lagrange equation.Finally,the law was presented about the influence of acceleration and system parameters on the coupled vibration characteristics.The conclusion shows that the flutter instability zone increases,with a rise in the load-torque,and a decrease in the asymmetry of the stiffness of the support,and that the increased load-torque,the decreased stiffness asymmetry and the increased misalignments lead the coupled system to destabilization.