Parametric design of mechanical dither with bimorph piezoelectric actuator for ring laser gyroscope

This paper presents a mathematical model and a finite element model to investigate the model parameters of me- chanical dither in a ring laser gyroscope in which the bimorph piezoelectric actuator are employed as driving mechanisms to avoid the problem of so-called lock-in effects. The validity and efficiency of the mathematical model and finite element model are conformed by comparing with the sinusoidal experimental results, and the errors are 3.14% and 1.79% respectively. Moreover, the parametric design for the geometric dimensions of mechanical dither and the bimorph piezoelectric actuators is easily achieved through finite element model. It is shown that careful selection of the structural parameters allows the resonant frequency to be suitable. These results are important for the mechanical dither design and improvement of high accuracy ring laser gyroscopes and inertial navigation system.

[1]  Guo Wei,et al.  Finite element analysis and optimization of dither mechanism in dithered ring laser gyroscope , 2013, International Journal of Precision Engineering and Manufacturing.

[2]  S. J. Pietrzko,et al.  FE Analysis of a PZT-actuated adaptive beam with vibration damping using a parallel R-L shunt circuit , 2006 .

[3]  John Weston,et al.  Strapdown Inertial Navigation Technology , 1997 .

[4]  Terry Tucker,et al.  The AN/WSN-7B Marine Gyrocompass/Navigator , 2000 .

[5]  William W. Clark,et al.  A Study of Displacement Distribution in a Piezoelectric Heterogeneous Bimorph , 2004 .

[6]  G. Gilster High accuracy performance capabilities of the military standard ring laser gyro inertial navigation unit , 1994, Proceedings of 1994 IEEE Position, Location and Navigation Symposium - PLANS'94.

[7]  Anthony Lawrence,et al.  Modern Inertial Technology: Navigation, Guidance, and Control , 1993 .

[8]  Dongik Shin,et al.  Modelling the mechanical dither of a ring resonator , 2010 .

[9]  Chang-Soo Han,et al.  Parametric design consideration of a vibro-elastic bimorph piezoelectric converter for a ring laser gyroscope , 2006 .

[10]  A. Pisano,et al.  Modeling and optimal design of piezoelectric cantilever microactuators , 1997 .

[11]  Xuebing Pei,et al.  Finite element analysis of a unimorph cantilever for piezoelectric energy harvesting , 2012 .

[12]  Roy R. Craig,et al.  Structural Dynamics: An Introduction to Computer Methods , 1981 .

[13]  Mechanical dither design for ring laser gyroscope , 2002 .

[14]  B. R. Shackleton Mechanical design considerations for a ring laser gyro dither mechanism , 1987 .

[15]  J. Koenderink Q… , 2014, Les noms officiels des communes de Wallonie, de Bruxelles-Capitale et de la communaute germanophone.

[16]  J. I. Lahham,et al.  Acoustic noise reduction in the MK 49 ship's inertial navigation system (SINS) , 1992, IEEE PLANS 92 Position Location and Navigation Symposium Record.

[17]  Shih-Ming Yang,et al.  Dither-motor design with concurrent sensing and actuating piezoelectric materials (Ring laser gyroscope) , 1994 .

[18]  Chang-Soo Han,et al.  A material rigidity effect of a bimorph piezoelectric actuator , 2007 .

[19]  J. I. Lahham,et al.  Tuned support structure for structure-borne noise reduction of inertial navigator with dithered ring laser gyros (RLG) , 2000, IEEE 2000. Position Location and Navigation Symposium (Cat. No.00CH37062).