Vortex Processes and Solid Body Dynamics

The Dynamic Problems of Spacecrafts and Magnetic Levitation Systems

Inbunden, Engelska, 1994

AvB. Rabinovich,A.I. Lebedev,A.I. Mytarev,A. I. Mytarev,A. I. Lebedev

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This volume presents a treatment of the influence of different types of vortex fields on the dynamics of solid bodies. This is encountered in many ways: flight dynamics, hydrofoil vehicle dynamics, rockets and spacecraft dynamics, and satellite dynamics. The contents are divided into eight chapters. Chapters 1 and 2 are devoted to a synthesis of phenomenological mathematical models of objects, for which the consideration of vortex fields plays a dominant role in the formulation of those models. Chapter 3 deals with the solution of sets of integrodifferential equations which arise in the analysis of the dynamics of complex controlled systems. Chapter 4 considers the experimental verification of models and the limits of their applicability. Chapter 5 analyzes the influence of eddy currents on the stability of electromagnetic levitation systems. Chapter 6 considers the influence on spacecraft motion of the vortex motions of a low-viscous liquid in the vehicle fuel tanks. Chapter 7 presents examples of a control law for the air-gap stabilization of a magnetic levitation system.Finally, Chapter 8 deals with the general mathematical model based on magnetohydrodynamics of a solid-low-viscous electrically conductive ferromagnetic liquid. This text is designed for mechanical and aerospace engineers whose work involves guidance and control systems.

Produktinformation

Utgivningsdatum1994-10-31
Mått170 x 244 x 22 mm
Vikt641 g
FormatInbunden
SpråkEngelska
SerieFluid Mechanics and Its Applications
Antal sidor300
Upplaga1994
FörlagKluwer Academic Publishers
ISBN9780792330929
ÖversättareLeviant, A.S., Leviant, A. S.

Tillhör följande kategorier

1. Mathematical Models of Electrical Conductivity Ferromagnetic Elements with Eddy Currents.- 1.1. Statements of the Problem.- 1.2. Asymptotic Solution of Unsteady Boundary-Value Problems for Magnetic and Electrical Fields.- 1.3. Eddy Currents Mathematical Model.- 1.4. General Equations of System Dynamics with External and Eddy Currents and Mechanical Degrees of Freedom.- 1.5. Mathematical Models of Stabilized Ferromagnetic Elements as Objects of Control.- 1.6. Mathematical Models of the Electromagnetic Levitation System Actuator.- 2. Mathematical Models of Stabilazed Objects with Compartments Containing Vortex Low-Viscous Liquid.- 2.1. Mathematical Models of a Solid Body with Cavity Partially Filled with Ideal Liquid.- 2.2. Velocity Field of LV Liquid Vortex Motion in a Moving Cavity.- 2.3. Generalized Forces and Derivatives of Liquid Kinetic Energy with Respect to Generalized Velocities.- 2.4. The Mathematical Model of a Solid Body with a Cavity Containing Vortex Low-Viscous Liquid.- 2.5. Axially Symmetric Body. Particular Cases of General Equations of Perturbed Motion.- 2.6. Axisymmetric Body. Coefficients Conversion Formulae.- 2.7. Axisymmetric Body. Derivation of Equations of the Body — Liquid System Perturbed Motion from the Variational Principle.- 2.8. Spacecraft with LPRE Stabilized Attitude.- 2.9. Spacecraft with LPRE, Slowly Rotating around Its Longitudial Axis.- 2.10. Determination of Hydrodynamic Coefficients.- 3. Analytical and Numerical Methods of Dynamics Investigation of Vehicles Described by Vortex Models.- 3.1. Preliminary Remarcs.- 3.2. Analytical Methods of Investigation. Harmonic Balance Method.- 3.3. An Algorithm for Numerical Solution of a Set of Integrodifferential Equations with a Singular Kernel of the Type (t ? ?)??2.- 3.4.Methodological Example.- 4. Experimental Verification of Mathematical Models for Eddy Currents and Vortex Motions of Liquid.- 4.1. Mathematical Models Used for Experimental Data Processing.- 4.2. Determination of Mathematical Model Parameters Based on Experimental Results.- 4.3. Scheme of the Experiment and Primary Processing of Results.- 4.4. Verification of Models for Eddy Currents in HECF Elements.- 4.5. Low-Viscous Liquid Vortex Motions Model Verification.- 5. Some Dynamics Problems for Systems with Electromagnetic Actuators.- 5.1. Characteristic Properties of Electromagnet as an Object of Control. Requirements to the Air Gap Regulation System.- 5.2. Mathematical Model of the Two-Mass System ’Controlled Electromagnet — Mass with Elasto-Viscous Suspension’.- 5.3. Measurements Composition Influence on Required Completeness of Controlled Electromagnet Mathematical Model.- 5.4. Eddy Currents Influence on Closed-Loop System Dynamics. Reduction of Integrodifferential Equations to an Equivalent Set of Differential Equations.- 6. Some Dynamics Problems for a Spacecrafts Having Compartments Partially Filled with Liquid.- 6.1. Stabilizability and Dynamic Stability of Spacecrafts Having Compartments Partially Filled with Liquid.- 6.2. Simplified Mathematical Models of Perturbed Motion for a Spacecraft Having Compartments Partially Filled with Liquid.- 6.3. Self-Sustained Oscillations in the Closed-Loop System ’Spacecraft — Liquid — Controller’.- 6.4. SC Stability in the Yaw Plane with Account of Potential and Vortex Motions of Liquid in Tanks.- 6.5. SC Stability in the Roll Plane for Non-Small Amplitudes of Angular Oscillations.- 7. Examples of Control Law Synthesis for an Object Described by a Vortex Model.- 7.1. A Control Law Allowing Hardware Implementation,Based on Air Gap Sensor and Current Transducer Indications.- 7.2. Synthesis of a Relay-Controller Closed-Loop System.- 7.3. Mathematical Modelling of Electromagnetic Levitation System Dynamics.- 8. Some Dynamics Problems for a Solid Body with Electrically Conductive Liquid Moving in Magnetic Field.- 8.1. Statements of the Problem. Main Assumptions.- 8.2. Magnetic Hydrodynamics Boundary-Value Problems for LVECF Liquid.- 8.3. Liquid — Magnetic Field System Kinetic Energy. Generalized Forces and Generalized Voltages.- 8.4. Equations of Dynamics for a Solid Body Containing LVECF Liquid with Related Magnetic Field Presence.- 8.5. Equations of Dynamics for a Solid Body with a Cavity of Revolution Having Narrow Internal Ribs.- 8.6. The Case of a Circular Cylinder-Shaped Cavity.- 8.7. Magnetic Field Influence on Solid Body — LVEC Liquid Open-Loop System Frequency Response.- 8.8. The Possibility of Using Magnetohydrodynamic Effects to Ensure Dynamic Stability of Spacecraft.- Conclusion.