Wave motion in elastic solids /

Comprehensive, self-contained coverage of a variety of topics ranges from the elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Emphasis on analytical and experimental results, in addition to theoretical development. Appendices contain introdu...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Graff, Karl F.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Dover Publications, 1991, ©1975.
Temas:
Solids.
Elastic waves.
Solides.
Ondes élastiques.
SCIENCE > Physics > General.
Elastic waves
Solids
Elastische Welle
Festkörper
Solides élastiques.
Vibrations.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine derived contents note: Introduction
  • I.1 General aspects of wave propagation
  • I.2 Applications of wave phenomena
  • I.3 Historical background
  • 1. Waves And Vibrations In Strings
  • 1.1. Waves in long strings
  • 1.1.1. The governing equations
  • 1.1.2. Harmonic waves
  • 1.1.3. The D'Alembert solution
  • 1.1.4. The initial-value problem
  • 1.1.5. The initial-value problem by Fourier analysis
  • 1.1.6. Energy in a string
  • 1.1.7. Forced motion of a semi-infinite string
  • 1.1.8. Forced motion of an infinite string
  • 1.2. Reflection and transmission at boundaries
  • 1.2.1. Types of boundaries
  • 1.2.2. Reflection from a fixed boundary
  • 1.2.3. Reflection from an elastic boundary
  • 1.2.4. Reflection of harmonic waves
  • 1.2.5. Reflection and transmission at discontinuities
  • 1.3. Free vibration of a finite string
  • 1.3.1. Waves in a finite string
  • 1.3.2. Vibrations of a fixed-fixed string
  • 1.3.3. The general normal mode solution
  • 1.4. Forced vibrations of a string
  • 1.4.1. Solution by Green's function
  • 1.4.2. Solution by transform techniques
  • 1.4.3. Solution by normal modes
  • 1.5. The string on an elastic base-dispersion
  • 1.5.1. The governing equation
  • 1.5.2. Propagation of harmonic waves
  • 1.5.3. Frequency spectrum and the dispersion curve
  • 1.5.4 Harmonic and pulse excitation of a semi-infinite string
  • 1.6. Pulses in a dispersive media-group velocity
  • 1.6.1. The concept of group velocity
  • 1.6.2. Propagation of narrow-band pulses
  • 1.6.3. Wide-band pulses-The method of stationary phase
  • 1.7. The string on a viscous subgrade
  • 1.7.1 The governing equation
  • 1.7.2 Harmonic wave propagation
  • 1.7.3 Forced motion of a string
  • 2. Longitudinal Waves In Thin Rods
  • 2.1. Waves in long rods
  • 2.1.1. The governing equation
  • 2.1.2. Basic propagation characteristics
  • 2.2. Reflection and transmission at boundaries
  • 2.2.1. Reflection from free and fixed ends
  • 2.2.2. Reflection from other end conditions
  • 2.2.3. Transmission into another rod
  • 2.3. Waves and vibration in a finite rod
  • 2.3.1. Waves in a finite rod-history of a stress pulse
  • 2.3.2. Free vibrations of a finite rod
  • 2.3.3. Forced vibrations of rods
  • 2.3.4. Impulse loading of a rod-two approaches
  • 2.4. Longitudinal impact
  • 2.4.1. Longitudinal collinear impact of two rods
  • 2.4.2. Rigid-mass impact against a rod
  • 2.4.3. Impact of an elastic sphere against a rod
  • 2.5. Dispersive effects in rods
  • 2.5.1. Rods of variable cross section-impedance
  • 2.5.2. Rods of variable section-horn resonance
  • 2.5.3. Effects of lateral inertia-dispersion
  • 2.5.4. Effects of lateral inertia-pulse propagation
  • 2.6. Torsional vibrations
  • 2.6.1. The governing equation
  • 2.7. Experimental studies in longitudinal waves
  • 2.7.1. Longitudinal impact of spheres on rods
  • 2.7.2. Longitudinal wave across discontinuities
  • 2.7.3. The split Hopkinson pressure bar
  • 2.7.4. Lateral inertia effects
  • 2.7.5. Some other results of longitudinal wave experiments
  • References
  • Problems
  • 3. Flexural Waves In Thin Rods
  • 3.1. Propagation and reflection characteristics
  • 3.1.1. The governing equation
  • 3.1.2. Propagation of harmonic waves
  • 3.1.3. The initial-value problem
  • 3.1.4. Forced motion of a beam
  • 3.1.5 Reflection of harmonic view
  • 3.2. Free and forced vibrations of finite beams
  • 3.2.1. Natural frequencies of finite beams
  • 3.2.2. Orthogonality
  • 3.2.3. The initial-value problem
  • 3.2.4. Forced vibrations of beams-me.

Ejemplares similares