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Mathematical models of thermal drift of gyroscopic sensors of inertial systems


V.E. Dzhashitov, V.M. Pankratov / Under the general editorship of the RAS Academician V.G. Peshekhonov

150 p.
St. Petersburg: SRC of Russia - CSRI "Elektropribor", 2001
ISBN 5-900780-30-9


Mathematical models of classical and promising gyroscopic inertial data sensors of various physical principles and laws of operation have been considered. Principles of operation and dynamics fundamentals of thermally disturbed inertial gyroscopic sensors, devices and systems based on them are stated. Mathematical models of thermal drift of float, dynamically tuned, electrostatic non-contact, wave solid-state, micromechanical and fiber-optic gyros have been constructed and investigated. Particular attention has been given to the new mathematical models of thermal drift making it possible to investigate the phenomenon of deterministic chaos in non-linear thermally disturbed dynamic systems with inertial sensors.

The book is intended for scientists, engineers and technicians. Also it can be useful for post-graduates and students of higher education institutes.

Bibliography: 16 references. 34 illustrations. 1 table.


CONTENTS

Introduction5
Chapter 1. Models of bound physical processes of mechanical motion, heat-mass exchange, thermoelasticity, hydromechanics and optics for sensors of various principles of operation10
1.1. Problems of mathematical models construction and their solution strategy-
1.2. Mathematical models and investigation methods for thermal processes in gyroscopic sensors of inertial systems15
1.3. Mathematical models and investigation methods for mechanical motion processes in gyroscopic sensors of inertial systems24
1.4. Mathematical models and thermoelasticity theory methods in investigation of stressed and deformed state of gyroscopic sensors of inertial systems27
1.5. Mathematical models and investigation methods for hydromechanical processes in gyroscopic sensors of inertial systems30
1.6. Mathematical models and investigation methods for optic processes in fiber paths of gyroscopic sensors of inertial systems33
Chapter 2. Inertial data sensors of various physical principles of operation38
2.1. Float inertial sensors - principle of operation, mathematical models, investigation problems -
2.2. Rotor vibratory dynamically tuned inertial sensors - principle of operation, mathematical models, investigation problems 48
2.3. Electrostatic spherical inertial sensors - principle of operation, mathematical models, investigation problems57
2.4. Wave solid-state inertial sensors - principle of operation, mathematical models, investigation problems63
2.5. Micromechanical inertial sensors - principle of operation, mathematical models, investigation problems74
2.6. Fiber-optic inertial sensors - principle of operation, mathematical models, investigation problems108
2.7. Systematization of mathematical models of thermally disturbed inertial sensors118
Chapter 3. Special construction and investigation problems of mathematical models of thermally disturbed inertial data sensors 128
3.1. Deterministic chaos in disturbed non-linear gyroscopic systems - general approach -
3.2. Deterministic chaos in thermally disturbed fiber-optic inertial sensors139
Conclusions148
References149
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Journal "Giroskopiya i Navigatsiya" website (in Russian)
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