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Nonlinear dynamics of a bouncing disk on the tip of a vibrating pretwisted beam

机译:振动预扭曲梁尖端上弹跳盘的非线性动力学

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摘要

Stator-rotor interaction is one of the least understood part of piezoelectric ultrasonic motors. In one particular motor design, the rotor is pressed into contact with a pretwisted beam stator that vibrates both axially and torsionally at an ultrasonic frequency. The stator’s axial vibration modulates the oscillating frictional torque at the stator-rotor interface so that a non-zero net torque is applied to the rotor. Past analysis of the rotor either neglected the axial motion or assumed it to be fixed in space, with the interaction modelled as a periodic spring contact. In this paper, the rotor is viewed as repeatedly separating and colliding with the stator, a situation analogous to the classic problem of bouncing ball on a vibration platform, except that in this case, the platform also has torsional oscillation. A model assuming Coloumb friction, coefficient of restitution, impulsive friction, and uniform contact pressure is used to investigate the dynamics of the rotor.
机译:定子-转子之间的相互作用是压电超声马达中鲜为人知的部分之一。在一种特定的电动机设计中,转子被压成与预扭梁定子接触,该预扭梁定子以超声频率轴向和扭转振动。定子的轴向振动调节了定子-转子界面处的振荡摩擦转矩,因此向转子施加了非零的净转矩。过去对转子的分析要么忽略了轴向运动,要么将其假定为固定在空间中,并且将相互作用建模为周期性的弹簧接触。在本文中,转子被视为反复地与定子分离并碰撞,这种情况类似于在振动平台上弹跳球的经典问题,除了在这种情况下,平台还具有扭转振动。使用假设库仑摩擦,恢复系数,脉冲摩擦和均匀接触压力的模型来研究转子的动力学。

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