| Description |
1 online resource (1 volume) : illustrations. |
| Series |
ISTE |
|
ISTE.
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| Bibliography |
Includes bibliographical references and index. |
| Contents |
Cover; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Free Oscillations; 1.1. Oscillations and waves, period and frequency; 1.2. Simple harmonic vibrations: differential equation and linearity; 1.3. Complex representation and phasor representation; 1.4. Point mass subject to a force-Kx; 1.5. Angular oscillations; 1.6. Damped oscillations; 1.7. Dissipation of the energy of a damped oscillator; 1.8. Oscillating LCR circuits; 1.9. Small oscillations of a system with one degree of freedom; 1.10. Nonlinear oscillators; 1.11. Systems with two degrees of freedom. |
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1.12. Generalization to systems with n degrees of freedom1.13. Normal variables for systems with n degrees of freedom*; 1.14. Summary; 1.15. Problem solving suggestions; 1.16. Conceptual questions; 1.17. Problems; Chapter 2. Superposition of Harmonic Oscillations, Fourier Analysis; 2.1. Superposition of two scalar and isochronous simple harmonic oscillations; 2.2. Superposition of two perpendicular and isochronous vector oscillations, polarization; 2.3. Superposition of two perpendicular and non-isochronous oscillations. |
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2.4. Superposition of scalar non-synchronous harmonic oscillations, beats2.5. Fourier analysis of a periodic function; 2.6. Fourier analysis of a non-periodic function; 2.7. Fourier analysis of a signal, uncertainty relation; 2.8. Dirac delta-function; 2.9. Summary; 2.10. Problem solving suggestions; 2.11. Conceptual questions; 2.12. Problems; Chapter 3. Forced Oscillations; 3.1. Transient regime and steady regime; 3.2. Case of a simple harmonic excitation force; 3.3. Resonance; 3.4. Impedance and energy of a forced oscillator in the steady regime; 3.5. Complex impedance. |
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3.6. Sustained electromagnetic oscillations3.7. Excitation from a state of equilibrium*; 3.8. Response to an arbitrary force, nonlinear systems*; 3.9. Excitation of a system of coupled oscillators*; 3.10. Generalization of the concepts of external force and impedance*; 3.11. Some applications; 3.12. Summary; 3.13. Problem solving suggestions; 3.14. Conceptual questions; 3.15. Problems; Chapter 4. Propagation in Infinite Media; 4.1. Propagation of one-dimensional waves; 4.2. Propagation of two- and three-dimensional waves; 4.3. Propagation of a vector wave. |
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4.4. Polarization of a transverse vector wave4.5. Monochromatic wave, wave vector and wavelength; 4.6. Dispersion; 4.7. Group velocity; 4.8. Fourier analysis for waves*; 4.9. Modulation*; 4.10. Energy of waves; 4.11. Other unattenuated wave equations, conserved quantities*; 4.12. Impedance of a medium*; 4.13. Attenuated waves; 4.14. Sources and observers in motion, the Doppler effect and shock waves; 4.15. Summary; 4.16. Problem solving suggestions; 4.17. Conceptual questions; 4.18. Problems; Chapter 5. Mechanical Waves; 5.1. Transverse waves on a taut string. |
| Summary |
Dealing with vibrations and waves, this text aims to provide understanding of the basic principles and methods of analysing various physical phenomena. The content includes the general properties of propagation, a detailed study of mechanical (elastic and acoustic) and electromagnetic waves, propagation, attenuation, dispersion, reflection, interference and diffraction of waves. It features chapters on the effect of motion of sources and observers (both classical and relativistic), emission of electromagnetic waves, standing and guided waves and a final chapter on de Broglie wa. |
| Subject |
Electromagnetic fields -- Mathematical models.
|
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Electromagnetic waves -- Mathematical models.
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Electrodynamics -- Mathematical models.
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Oscillations -- Mathematical models.
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Engineering mathematics.
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Champs électromagnétiques -- Modèles mathématiques. |
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Ondes électromagnétiques -- Modèles mathématiques. |
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Électrodynamique -- Modèles mathématiques. |
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Oscillations -- Modèles mathématiques. |
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Mathématiques de l'ingénieur. |
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Electrodynamics -- Mathematical models |
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Electromagnetic fields -- Mathematical models |
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Electromagnetic waves -- Mathematical models |
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Engineering mathematics |
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Oscillations -- Mathematical models |
| Other Form: |
Print version: Bécherrawy, Tamer. Mechanical and Electromagnetic Vibrations and Waves. London : Wiley, ©2013 9781848212831 |
| ISBN |
9781118586563 |
|
1118586565 |
|
1848212836 |
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9781848212831 |
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9781118586549 (electronic bk.) |
|
1118586549 (electronic bk.) |
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