Vortex Processes and Solid Body Dynamics

1. Front Matter

   Pages i-xii

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2. Introduction

   • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

   Pages 1-2

3. Mathematical Models of High Electrical Conductivity Ferromagnetic Elements with Eddy Currents

   • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

   Pages 3-35

4. Mathematical Models of Stabilized Objects with Compartments Containing Vortex Low-Viscous Liquid

   • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

   Pages 36-96

5. Analytical and Numerical Methods of Dynamics Investigation of Vehicles Described by Vortex Models

   • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

   Pages 97-122

6. Experimental Verification of Mathematical Models for Eddy Currents and Vortex Motions of Liquid

   • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

   Pages 123-155

7. Some Dynamics Problems for Systems with Electromagnetic Actuators

   • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

   Pages 156-173

8. Some Dynamics Problems for a Spacecraft with Compartments Partially Filled with Liquid

   • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

   Pages 174-213

9. Examples of Control Law Synthesis for an Object Described by a Vortex Model

   • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

   Pages 214-244

10. Some Dynamics Problems for a Solid Body with Electrically Conductive Liquid Moving in Magnetic Field

    • Boris I. Rabinovich, Valeryi G. Lebedev, Alexander I. Mytarev

    Pages 245-286

11. Back Matter

    Pages 287-300

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... a wise man knows all things in a manner in which this is possible, not, however, knowing them individually. Aristotle. Metaphysics * The problem of consideration of vortex fields' influence on solid body dynamics has a long history. One constantly comes upon it in flight dynamics of airplanes, helicopters, and other flying vehicles (FV) moving in the atmosphere, in dynamics of ships with hydrofoils, and in dynamics of rocket carriers (RC) and spacecrafts (SC) with liquid-propellant rocket engines (LPRE), that are equipped with special damping devices and other structural elements inside fluid tanks. Similar problems occur when solving problems related to attitude control and stabilization of artificial Earth satellites (AES) and spacecrafts with magnetic (electro­ magnetic) systems, in conducting elements of which eddy currents are induced while control of those vehicles' angular position. It is also true with special test facilities for dynamic testing of space vehicles and their systems, with modern high-speed magnetic suspension transport systems (those based on the phenomenon of 'magnetic levitation'), with generators having rotors carried in 'magnetic bearings', and so on.

• Counter
• control
• dynamics
• model
• satellite
• solid
• stability
• vehicle dynamics

• Moscow Institute for Control Devices Design, Moscow, Russia

  Boris I. Rabinovich

• Research and Design Institute, Moscow, Russia

  Valeryi G. Lebedev, Alexander I. Mytarev

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