Title :
Mathematical theory of the fork-type wave gyroscope
Author_Institution :
Dept. of Theor. & Appl. Mech., Kiev State Univ., Ukraine
fDate :
31 May-2 Jun 1995
Abstract :
The work is devoted to mathematical analysis of the fork-type wave gyroscope. It includes the theory of flexural and torsional vibrations of thin bimorph beams and an applied theory of elastic half-ring vibrations both in the plane of the fork arrangement and in the perpendicular direction. Solution of the problem is expressed in analytic form in terms of hyperbolic and trigonometric functions. Both free and forced vibrations are considered. Analysis of the sensitivity of the gyroscope is carried out
Keywords :
elastic waves; gyroscopes; piezoelectric devices; vibrations; bimorph beams; elastic half-ring vibrations; flexural vibrations; forced vibrations; fork-type wave gyroscope; free vibrations; hyperbolic functions; mathematical analysis; sensitivity; torsional vibrations; trigonometric functions; Crystals; Electrodes; Gyroscopes; Mathematical analysis; Mathematical model; Piezoelectric materials; Polarization; Resonance; Structural beams; Vibrations;
Conference_Titel :
Frequency Control Symposium, 1995. 49th., Proceedings of the 1995 IEEE International
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-2500-1
DOI :
10.1109/FREQ.1995.484085