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.
|
Introduction | 5 |
| Chapter 1. Models of bound physical processes of mechanical motion, heat-mass exchange,
thermoelasticity, hydromechanics and optics for sensors of various principles of operation | 10 |
|
1.1. Problems of mathematical models construction and their solution strategy | - |
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1.2. Mathematical models and investigation methods for thermal processes in gyroscopic sensors of
inertial systems | 15 |
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1.3. Mathematical models and investigation methods for mechanical motion processes in gyroscopic
sensors of inertial systems | 24 |
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1.4. Mathematical models and thermoelasticity theory methods in investigation of stressed and deformed state
of gyroscopic sensors of inertial systems | 27 |
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1.5. Mathematical models and investigation methods for hydromechanical processes in gyroscopic
sensors of inertial systems | 30 |
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1.6. Mathematical models and investigation methods for optic processes in fiber paths of gyroscopic
sensors of inertial systems | 33 |
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Chapter 2. Inertial data sensors of various physical principles of operation | 38 |
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2.1. Float inertial sensors - principle of operation, mathematical models, investigation problems | - |
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2.2. Rotor vibratory dynamically tuned inertial sensors - principle of operation, mathematical
models, investigation problems | 48 |
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2.3. Electrostatic spherical inertial sensors - principle of operation, mathematical models,
investigation problems | 57 |
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2.4. Wave solid-state inertial sensors - principle of operation, mathematical models, investigation
problems | 63 |
|
2.5. Micromechanical inertial sensors - principle of operation, mathematical models, investigation
problems | 74 |
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2.6. Fiber-optic inertial sensors - principle of operation, mathematical models, investigation
problems | 108 |
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2.7. Systematization of mathematical models of thermally disturbed inertial sensors | 118 |
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Chapter 3. Special construction and investigation problems of mathematical models of thermally
disturbed inertial data sensors | 128 |
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3.1. Deterministic chaos in disturbed non-linear gyroscopic systems - general approach | - |
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3.2. Deterministic chaos in thermally disturbed fiber-optic inertial sensors | 139 |
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Conclusions | 148 |
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References | 149 |