The electro-mechanical transfer function of an ultrasonic wheel system

Abstract This paper deals with the electro-mechanical transfer functions of an ultrasonic wheel system. The objective is to initiate a mode that can produce certain relative dynamic responses in the proposed ultrasonic wheel system. The performance will be parameterized by system inputs in an attempt to obtain an optimal operational configuration. The electro-mechanical transfer function model of the piezoelectric ultrasonic wheel based on the lateral elliptical motion is derived for the control application and certification of its load-characteristic parameters and also predicts the wheel system performance. On this basis, we can determine whether the output of the wheel system will be stable. The contact-dynamics behaviors of the stator are also studied. These derived formulations in this paper are based on the general concept of the constitutive laws governing piezoelectric materials which permit the introduction of kinetic energy, electrical energy, and geometric constraints relating to the deformation variables.

[1]  Yoshiro Tomikawa,et al.  Ultrasonic motors—constructions/characteristics/applications , 1989 .

[2]  Imtiaz Haque,et al.  DYNAMICS OF A FLEXIBLE ROTATING BEAM INTERACTING WITH A FLAT RIGID SURFACE, PART I: MODEL DEVELOPMENT , 1996 .

[3]  C. D. Mote,et al.  Active Vibration Control of the Axially Moving String in the S Domain , 1991 .

[4]  Tarunraj Singh,et al.  ON THE FEEDBACK CONTROL OF THE WAVE EQUATION , 2000 .

[5]  C. Pan,et al.  A computer-aided root-locus method , 1978 .

[6]  Hans-Jürgen Hardtke,et al.  A new disc-type ultrasonic motor , 2001 .

[7]  Peter Hagedorn,et al.  TRAVELLING WAVE ULTRASONIC MOTORS, PART I: WORKING PRINCIPLE .AND MATHEMATICAL MODELLING OF THE STATOR , 1992 .

[8]  Maximilian Fleischer,et al.  Novel utrasonic motors with mono- and bimodal drives , 1990 .

[9]  Imtiaz Haque,et al.  DYNAMICS OF A FLEXIBLE ROTATING BEAM INTERACTING WITH A FLAT RIGID SURFACE, PART II: NUMERICAL SOLUTION , 1996 .

[10]  Satya N. Atluri,et al.  Effects of a Piezo-Actuator on a Finitely Deformed Beam Subjected to General Loading , 1989 .

[11]  C. D. Mote,et al.  On Time Delay in Noncolocated Control of Flexible Mechanical Systems , 1992 .

[12]  A. Ugural Stresses in plates and shells , 1981 .

[13]  N. Lamberti,et al.  A piezoelectric motor using flexural vibration of a thin piezoelectric membrane , 1998, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[14]  Tarunraj Singh,et al.  EXACT TIME-OPTIMAL CONTROL OF THE WAVE EQUATION , 1995 .

[15]  N. Lamberti,et al.  A new low voltage piezoelectric micromotor based on stator precessional motion , 1998, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[16]  Kenji Uchino,et al.  Piezoelectric Actuators and Ultrasonic Motors , 1996 .

[17]  Thomas Schulte,et al.  Parameter identification of ultrasonic motors , 1999, 1999 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (Cat. No.99TH8399).

[18]  Thomas Schulte,et al.  Optimized drive control for inverter-fed ultrasonic motors , 1997, IAS '97. Conference Record of the 1997 IEEE Industry Applications Conference Thirty-Second IAS Annual Meeting.

[19]  Michael P. Polis,et al.  An example on the effect of time delays in boundary feedback stabilization of wave equations , 1986 .

[20]  Nesbitt W. Hagood,et al.  Modelling of Piezoelectric Actuator Dynamics for Active Structural Control , 1990 .