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Mechanical and electromagnetic vibrations and waves /
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, propaga...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London, UK : Hoboken, NJ :
ISTE ; J. Wiley & Sons,
2012.
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| Colección: | ISTE.
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| Temas: | |
| Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
Tabla de Contenidos:
- 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.
- 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.
- 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.
- 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.
- 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.