| Description |
1 online resource (xv, 649 pages) : illustrations |
| Contents |
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 |
| Summary |
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 introductory material on elasticity, transforms, experimental techniques. Over 100 problems |
| Notes |
Originally published: London : Oxford University Press, 1975 |
| Bibliography |
Includes bibliographical references and indexes |
| Notes |
Print version record |
| Subject |
Solids.
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Elastic waves.
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SCIENCE -- Physics -- General.
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Elastic waves
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Solids
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Elastische Welle
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Festkörper
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Solides.
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Ondes élastiques.
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Solides élastiques.
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Vibrations.
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| Form |
Electronic book
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| ISBN |
9780486139579 |
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0486139573 |
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9781621986461 |
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1621986462 |
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