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1.

図書

図書
Ingram Bloch
出版情報: New York : Plenum Press, c1997  x, 317 p. ; 24 cm
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Undamped and Undriven Oscillators and LC Circuits
The Effect of Damping
Sinusoidally Driven Oscillators and Circuit Loops
Sums of Sinusoidal Forces or EMF's - Fourier Analysis
Integration in the Complex Plane
Evaluation of Certain Fourier Integrals - Causality, Green's Functions
Electrical Networks
Nonlinear Oscillations
Coupled Oscillators without Damping - Lagrange's Equations
Matrices - Rotations - Eigenvalues and Eigenvectors - Normal Coordinates
Some Examples of Normal Coordinates
Finite One-Dimensional Periodic Systems
Difference Equations
Infinite One-Dimensional Periodic Systems - Characteristic Impedance
Continuous Systems
Wave Equation
Lagrangian Density
Hamilton's Principle
Applied Forces
Interacting Systems
Other Linear Problems
Nonlinear Waves
Answers to Selected Problems
Index
Undamped and Undriven Oscillators and LC Circuits
The Effect of Damping
Sinusoidally Driven Oscillators and Circuit Loops
2.

図書

図書
Fritz K. Kneubühl
出版情報: New York : Springer, 1997  xiv, 523 p. ; 25 cm
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3.

図書

図書
K.U. Ingard
出版情報: Cambridge ; New York : Cambridge University Press, 1988  xiv, 595 p. ; 26 cm
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Preface
Oscillations / Part 1:
Review of elementary concepts and examples / 1:
Introduction / 1.1:
Harmonic motion defined / 1.2:
The mass--spring oscillator / 1.3:
Examples of harmonic motion / 1.4:
The two-body oscillator. Reduced mass / 1.5:
Two-dimensional oscillator / 1.6:
Nonlinear oscillations / 1.7:
Forced harmonic motion / 1.8:
Free damped motion / 1.9:
Problems
The complex amplitude / 2:
A review of complex numbers / 2.1:
Euler's formula / 2.2:
The complex amplitude of a harmonic function / 2.3:
Discussion / 2.4:
Examples
Forced oscillations and frequency response / 3:
Electro-mechanical analogies / 3.1:
Frequency response / 3.2:
Impedance and admittance / 3.3:
Power transfer / 3.4:
Sources of vibration / 3.5:
Fourier analysis / 3.6:
Arbitrary driving force / 3.8:
Free oscillations and impulse response / 4:
Free oscillations / 4.1:
Impulse response / 4.2:
Response to an arbitrary driving force / 4.3:
Transition to steady state / 4.4:
Coupled oscillators / 4.5:
Free motion. Normal modes / 5.1:
Weakly coupled oscillators. Beats / 5.3:
Orthogonality. Configuration space / 5.4:
Unequal coupled oscillators / 5.6:
Waves / Part 2:
Fundamentals of waves / 6:
What is a wave? / 6.1:
Description of waves (kinematics) / 6.2:
Dynamics. Field equations / 6.3:
Harmonic waves and complex amplitude equations / 6.4:
Examples of waves / 6.5:
Simple demonstrations / 6.6:
Wave power / 6.7:
Wave pulse / 6.8:
Waves in two and three dimensions / 6.9:
Wave reflection, transmission, and absorption / 7:
Wave reflection at a junction / 7.1:
Energy absorption at a termination / 7.2:
Wave reflection and elastic collisions / 7.3:
Resonances and normal modes / 8:
Forced harmonic waves / 8.1:
Forced harmonic motion of the real mass-spring oscillator / 8.2:
Free oscillations and normal modes / 8.3:
Normal mode expansion. Fourier series / 8.4:
Continuous harmonic force distribution / 8.5:
Normal modes in two and three dimensions / 8.6:
Density of normal modes / 8.7:
Electromagnetic waves / 9:
Review of units / 9.1:
EM waves on a cable reconsidered / 9.2:
Maxwell's equations / 9.3:
Plane EM waves / 9.4:
Generation of EM waves / 9.5:
Polarization / 9.6:
Dispersion of EM waves / 9.7:
Acoustic waves in fluids / 10:
Description of fluid motion / 10.1:
Fluid equations / 10.2:
Acoustic field equations / 10.3:
Spherical waves / 10.4:
The acoustic spectrum / 10.5:
Measurements / 10.6:
Wave interference and diffraction / 11:
Interference of two plane waves / 11.1:
Interference of waves from an array of sources / 11.2:
Continuous source distribution / 11.3:
Diffraction / 11.4:
Diffraction limited resolution / 11.5:
Coherence and incoherence / 11.6:
Refraction and reflection / 12:
Trace velocity and Snell's law / 12.1:
Acoustic reflection and transmission coefficients / 12.2:
EM reflection and transmission coefficients / 12.3:
Total reflection / 12.4:
Refraction in a moving medium / 12.5:
Inhomogeneous medium / 12.6:
The Doppler effect / 13:
Mechanical waves / 13.1:
Periodic structures. Dispersion / 13.2:
Wave transmission on a mass-spring lattice / 14.1:
Wave packet and group velocity / 14.2:
Wave impedance and energy flow / 14.3:
Wave attenuation / 14.4:
Normal modes of a one-dimensional lattice / 14.5:
General motion and impulse response of a periodic lattice / 14.6:
Wave guides and cavities / 15:
Propagating and decaying waves / 15.1:
Acoustic waves in a rectangular wave guide / 15.2:
EM waves in a rectangular wave guide / 15.3:
Normal modes in a rectangular cavity / 15.4:
Matter waves / 16:
Review / 16.1:
Free particle wave function / 16.2:
The Uncertainty Principle / 16.3:
Effect of potential. Barrier penetration / 16.4:
Refraction of matter waves / 16.5:
Stationary states. Schroedinger equation / 16.6:
Special Topics / Part 3:
Radiation and scattering / 17:
Sound radiation from a pulsating sphere / 17.1:
Multipole sources / 17.2:
Nonuniform spherical source. Spherical harmonics / 17.3:
Radiation from a continuous source distribution / 17.4:
Huygens' principle and scattering / 17.5:
Acoustic scattering / 17.6:
Electromagnetic scattering / 17.7:
Surface waves on a liquid / 18:
Waves on shallow water / 18.1:
Surface tension / 18.2:
Waves on deep water. Effect of surface tension / 18.3:
Effect of viscosity / 18.4:
Thermal ripples and Brillouin scattering / 18.5:
Liquid-liquid interface. Critical phenomenon / 18.6:
Plasma oscillations and hydromagnetic waves / 19:
The plasma state / 19.1:
Longitudinal waves. (Plasma oscillations) / 19.2:
Transverse waves. (Hydromagnetic or Alfven waves) / 19.3:
Waves in solids / 20:
Longitudinal waves in a rod / 20.1:
Shear waves / 20.2:
Wave reflection. Energy considerations / 20.3:
Bending waves on a plate / 20.4:
Displacement, deformation, and rotation / 20.5:
Stress-strain relation / 20.6:
Relations between elastic constants / 20.7:
Longitudinal and transverse waves / 20.8:
Wave conversion / 20.9:
The Rayleigh wave / 20.10:
Seismology / 20.11:
Feedback oscillations / 21:
The frequency equation / 21.1:
Valve instability / 21.2:
Instability of a vortex sheet / 21.3:
Whistles and wind instruments / 21.4:
Lasers / 21.5:
Heat maintained oscillations. The Rijke tube / 21.6:
Index
Preface
Oscillations / Part 1:
Review of elementary concepts and examples / 1:
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