Simulation of Motion Interactions of a 2-DOF Linear Piezoelectric Impact Drive Mechanism with a Single Friction Interface

Abstract

A two-degrees-of-freedom (2-DOF) linear piezoelectric impact drive mechanism (PIDM) is actuated by two independent piezoelectric actuators (PAs). The coupled motion interactions of a two orthogonal DOF linear PIDM with a single friction interface are introduced and analyzed. A complete dynamic model of the 2-DOF PIDM is established with the Karnopp friction model considering the distribution of friction in the x-axis and y-axis. The output displacements of the 2-DOF PIDM and two corresponding independent 1-DOF PIDMs are investigated numerically. When the two input exciting signals of a 2-DOF PIDM have the same driving voltage of 100 V with a duty ratio of 98% at 10 Hz and two 1-DOF PIDMs are driving under the same conditions, the step displacements in the two axes of 2-DOF PIDM are improved compared to the corresponding 1-DOF PIDM. When the two input exciting signals of a 2-DOF PIDM have the same driving voltages of 100 V with a duty ratio of 98% but the driving frequency is 10 Hz in the x-axis and 20 Hz in the y-axis, the results show that the displacement of high frequency achieves a slight decrease and displacement of low frequency shows a large increase compared to the two corresponding 1-DOF PIDMs.

Discovering Stick-Slip-Resistant Servo Control Algorithm Using Genetic Programming

“…However, the expression isolated for the interval is difficult for numerical processing due to the zero length of this interval and the ambiguous force sign. For that reason, the extension proposed by Karnopp [ 31 , 32 ] has been used where a small enough velocity modulus is treated as the actual zero velocity and the friction compensates the external force , otherwise, i.e., for , the basic Formula ( 2 ) for the friction force is applied. The used model takes into account a few physical phenomena of friction, namely static, Coulomb, and viscous components, represented by the parameters , , and , respectively.…”

Verification of the feed-forward control for a piezoelectric actuator using differential flatness approach

“…Piezoelectric inertia motor consists of three main components: sliding rod, piezoelectric actuator, and slider. Piezoelectric inertia motors are based on the inertia principle; they are used to drive body by a friction contact in a series of small steps (Liu et al, 2015; Xia et al, 2018). The advantages of the piezoelectric inertia motors are the small size and simple design, while, on the other hand, the control process of this motor is complicated (Hunstig, 2017; Hunstig et al, 2016; Meyer, 2010).…”