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Ebook: Vortex Processes and Solid Body Dynamics: The Dynamic Problems of Spacecrafts and Magnetic Levitation Systems

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27.01.2024
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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.








Content:
Front Matter....Pages i-xii
Introduction....Pages 1-2
Mathematical Models of High Electrical Conductivity Ferromagnetic Elements with Eddy Currents....Pages 3-35
Mathematical Models of Stabilized Objects with Compartments Containing Vortex Low-Viscous Liquid....Pages 36-96
Analytical and Numerical Methods of Dynamics Investigation of Vehicles Described by Vortex Models....Pages 97-122
Experimental Verification of Mathematical Models for Eddy Currents and Vortex Motions of Liquid....Pages 123-155
Some Dynamics Problems for Systems with Electromagnetic Actuators....Pages 156-173
Some Dynamics Problems for a Spacecraft with Compartments Partially Filled with Liquid....Pages 174-213
Examples of Control Law Synthesis for an Object Described by a Vortex Model....Pages 214-244
Some Dynamics Problems for a Solid Body with Electrically Conductive Liquid Moving in Magnetic Field....Pages 245-286
Back Matter....Pages 287-300



Content:
Front Matter....Pages i-xii
Introduction....Pages 1-2
Mathematical Models of High Electrical Conductivity Ferromagnetic Elements with Eddy Currents....Pages 3-35
Mathematical Models of Stabilized Objects with Compartments Containing Vortex Low-Viscous Liquid....Pages 36-96
Analytical and Numerical Methods of Dynamics Investigation of Vehicles Described by Vortex Models....Pages 97-122
Experimental Verification of Mathematical Models for Eddy Currents and Vortex Motions of Liquid....Pages 123-155
Some Dynamics Problems for Systems with Electromagnetic Actuators....Pages 156-173
Some Dynamics Problems for a Spacecraft with Compartments Partially Filled with Liquid....Pages 174-213
Examples of Control Law Synthesis for an Object Described by a Vortex Model....Pages 214-244
Some Dynamics Problems for a Solid Body with Electrically Conductive Liquid Moving in Magnetic Field....Pages 245-286
Back Matter....Pages 287-300
....
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