Research Catalog

Title

Non-linear electromechanics / D. Skubov, K.S. Khodzhaev.

Author

Skubov, D. (Dmitry)

Publication

Berlin : Springer, ©2008.

Items in the Library & Off-site

Details

Additional Authors

Khodzhaev, K. S. (Kamil Shamsutdinovich)

Description

xiv, 397 pages : illustrations; 24 cm

Summary

"This is the first book in which problems of electromechanics are considered from the perspective of analytical mechanics. The book includes fundamental results in the theory of non-linear electromechanical systems and will be useful both for researchers, engineers, scholars and graduate students of electromechanical faculties of technical universities. It includes not only theoretical results but also various examples from many industrial applications. A sizeable part of the book is devoted to the general theory of synchronous machines and electro-magnetic exciters of oscillations. The material of the book can be included in courses covering the theory of non-linear oscillations, the theory of electrical machines and other electromechanical devices."--Jacket.

Series Statement

Foundations of engineering mechanics, 1612-1384

Uniform Title

Foundations of engineering mechanics

Subject

• Electric machinery
• Nonlinear theories
• Anharmonischer Oszillator
• Dynamisches Verhalten
• Elektromagnet
• Elektromechanik
• Elektromechanisches Gerät
• Magnetoelastizität
• Nichtlineares System
• Synchronmaschine

Bibliography (note)

• Includes bibliographical references and index.

Contents

Description of electromechanical systems -- Electrostatics and magnetostatics -- The Lagrange-Maxwell equations -- Stability of stationary motions of systems with quasi-cyclic coordinates and the mechanical equilibrium under the action of magnetic field -- Motion of electromechanical systems due to electromotive forces -- Motion of the conducting rigid body in alternating magnetic field -- Asymptotic transformation of the equations of motion for conducting rigid body in alternating magnetic field -- Pendulum in the alternating magnetic field -- Magnetic suspension in the field of alternating currents -- Dynamics of synchronous electric machines -- The idealized model of synchronous machine -- Equation of the synchronous machine in the case of a powerful network -- Systems with electromagnetic vibration absorbers -- Optimal parameters of the magneto-electric extinguisher of small vibrations of a single-degree-of-freedom system -- Swinging of the rotor of synchronous machine and motion of the pendulum with magneto-electric extinguishers -- Dynamics of synchronous machine that autonomously works on load -- Asymptotic transformation of equations when synchronous machine works on load through rectifier -- Stationary regimes of operation of rectifier working on pure active load -- Control of the load current -- Work of generator on counter-electromotive force via rectifier -- Control of excitation of brief action turbogenerators -- Dynamics of two synchronous generators operating in parallel into a common active-inductive load -- Equation for electromechanical processes in inductor machines -- Some inverse problems of theory of inductor machines -- Single-pack and unlike-pole machines, machines with open slot -- Equation of electromechanical processes in three-phase unlike-pole machine -- Feature of transient processes for star connection with zero wire -- Periodic solutions in problems of excitation of mechanical oscillations -- Special form of notation for equations of motion and their solutions -- Integral stability criterion for periodic motions of electromechanical systems and systems with quasi-cyclic coordinates -- Energy relationships for oscillations of current conductors -- On the relationship between the resonant and non-resonant solutions -- Routh's equations which are linear in the positional coordinates -- Oscillations caused by electromagnets -- Equations for determining the constant components of magnetic fluxes -- Systems with a single electromagnet -- System with electromagnets in the differentiating circuit -- Interaction effects. Synthesis of electromagnets for vibration excitation -- Generating solution for the induction -- field strength nonlinearity -- Oscillation of the feed frequency in system with reactive electromagnet -- Oscillations in systems with two electromagnets. Asymmetrical modes -- Vibrations in system with collisions. Influence of mechanical nonlinearity -- Charged particle in electromagnetic field -- Motion due to fast oscillating forces -- Motion of the charged particle in high-frequency electromagnetic field -- Particle in electromagnetic field with high-frequency and constant components -- Relativistic charged particle in essentially heterogeneous crossed electric and magnetic fields -- Motion of the non-relativistic particle in heterogeneous magnetic field -- Motion of the non-relativistic particle in perturbed axisymmetric field -- Some problems of nonlinear magnetoelasticity -- Statement of "elastic-linear" problems of nonlinear magnetoelasticity -- Equilibrium of ferromagnetic bodies. Nonlinear boundary-value problems -- Boundary-value problems for equilibrium of conductors with currents -- Equilibrium of elastically suspended rigid bodies -- Equilibrium of string subjected to magnet force and prescribed external load -- The Emden-Fowler equation. Reduction to autonomous system -- Equilibrium of ferromagnetic membrane and threads with currents -- On the stable equilibrium forms of conductors with currents -- Averaging quasilinear systems with several fast variables -- Linear equation with coefficients given by asymptotical series -- The case when function [xi]([tau], [epsilon]) is given by an asymptotic sequence -- Separating slow variables in quasi-linear systems -- Remarks -- Systems integrable in the first approximation of the averaging method -- Higher approximations of the averaging method for systems with discontinuous variables -- On qualitative investigation of motion by the asymptotic methods of nonlinear mechanics.

ISBN

• 9783540251392
• 3540251391
• 9783540447795
• 3540447792
• 3642064264
• 9783642064265

LCCN

2008928144

OCLC

• ocn212432094
• 212432094
• SCSB-9289109

Owning Institutions

Princeton University Library