Wave Motion in Elastic Solids / by Karl F. Graff.

Format:

Book

Author/Creator:

Graff, Karl F., author.

Series:

Dover Books on Physics

Language:

English

Subjects (All):

Solids.

Elastic waves.

Physical Description:

1 online resource (1246 p.)

Edition:

1st ed.

Place of Publication:

Newburyport : Dover Publications, 2012.

Language Note:

English

Summary:

This highly useful textbook presents comprehensive intermediate-level coverage of nearly all major topics of elastic wave propagation in solids. The subjects range from the elementary theory of waves and vibrations in strings to the three-dimensional theory of waves in thick plates. The book is designed not only for a wide audience of engineering students, but also as a general reference for workers in vibrations and acoustics. Chapters 1-4 cover wave motion in the simple structural shapes, namely strings, longitudinal rod motion, beams and membranes, plates and (cylindrical) shells. Chapter

Contents:

Title Page; Copyright Page; Dedication; Preface; Acknowledgements; Table of Contents; Introduction; 1 - Waves and vibrations in strings; 1.1. Waves in long strings; 1.2. Reflection and transmission at boundaries; 1.3. Free vibration of a finite string; 1.4. Forced vibrations of a string; 1.5. The string on an elastic base-dispersion; 1.6. Pulses in a dispersive media-group velocity; 1.7. The string on a viscous subgrade; References; Problems; 2 - Longitudinal waves in thin rods; 2.1. Waves in long rods; 2.2. Reflection and transmission at boundaries; 2.3. Waves and vibrations in a finite rod

2.4. Longitudinal impact2.5. Dispersive effects in rods; 2.6. Torsional vibrations; 2.7. Experimental studies in longitudinal waves; References; Problems; 3 - Flexural waves in thin rods; 3.1. Propagation and reflection characteristics; 3.2. Free and forced vibrations of finite beams; 3.3. Foundation and prestress effects; 3.4. Effects of shear and rotary inertia; 3.5. Wave propagation in rings; 3.6. Experimental studies on beams; References; Problems; 4 - Waves in membranes, thin plates, and shells; 4.1. Transverse motion in membranes; 4.2. Flaxural waves in thin plates

4.3. Waves in thin, cylindrical shellsReferences; Problems; 5 - Waves in infinite media; 5.1. Wave types; 5.2. Waves generated by body forces; 5.3. Cavity source problems; References; Problems; 6 - Waves in semi-infinite media; 8.1. Propagation and reflection of plane waves in a half-space; 6.2. SH wave source-method of steepest descent; 6.3. Surface source problems; 6.4. Waves in layered media; 6.5. Experimental studies on waves in semi-infinite media; References; Problems; 7 - Scattering and diffraction of elastic waves; 7.1. Scattering of waves by cavities; 7.2. Diffraction of plane waves

ReferencesProblems; 8 - Wave propagation in plates and rods; 8.1. Continuous waves in a plate; 8.1.7. Bounded plates-SH and Lamé modes; 8.2. Waves in circular rods and cylindrical shells; 8.3. Approximate theories for waves in plates, rods, and shells; 8.4. Forced motion of plates and rods; 8.5. Experimental studies on waves in rods and plates; References; Problems; Appendix A: The elasticity equations; Appendix B. Integral transforms; Appendix C: Experimentat methods in stress waves; Author index; Subject index; DOVER BOOKS ON MATHEMATICS; WAVE MOTION IN ELASTIC SOLIDS - Karl F. Graff

Notes:

Description based upon print version of record.

Description based on publisher supplied metadata and other sources.

ISBN:

0-486-13957-3

1-62198-646-2

OCLC:

868271527