Wave theory and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Pr.
1988
|
| Series: | Oxford applied mathematics and computing science series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 317 S. graph. Darst. |
| ISBN: | 0198596545 0198596693 |
Staff View
MARC
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| 100 | 1 | |a Bland, David R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wave theory and applications |c D. R. Bland |
| 264 | 1 | |a Oxford |b Clarendon Pr. |c 1988 | |
| 300 | |a IX, 317 S. |b graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 TRANSVERSE WAVES ON STRINGS 1
1.1 Derivation of the governing equations 1
1.2 D Alembert s solution 6
1.3 Kinetic and potential energies of travelling transverse
waves 16
1.4 Harmonic waves 17
1.5 Reflection and transmission at a discontinuity of the string 22
1.6 Reflection and transmission when a mass is attached to
the string 29
1.7 Effect of air resistance on travelling waves 32
Further exercises 35
Answers to exercises 36
2 TRANSVERSE VIBRATIONS ON STRINGS 37
2.1 Solution by separation of variables with boundary
conditions 37
2.2 Normal modes 39
2.3 Initial conditions and Fourier sine series 46
2.4 Kinetic and potential energies of transverse vibrations 53
2.5 External force and air resistance 61
2.6 Point force, delta functions and resonance 65
2.7 Finite duration point force 70
Answers to exercises 73
3 LONG WAVES ON CANALS 76
3.1 Governing equations; free and forced oscillations 76
3.2 Change of canal section and junctions 84
3.3 A brief introduction to Bessel functions 88
3.4 Rectangular canals of varying section 91
3.5 Vibrations of a sheet of water; membrane analogy 95
Exercises 100
Answers to exercises 101
viii Contents
4 SURFACE WAVES ON RELATIVELY
DEEP WATER 102
4.1 Governing equations; dispersion equation 102
4.2 Potential and kinetic energy 110
4.3 Oscillations of water in a tank 111
4.4 Group velocity 114
4.5 Evaluation of wave packets 119
4.6 Complex variable approach 124
Answers to exercises 131
5 CHARACTERISTICS AND BOUNDARY
CONDITIONS 132
5.1 Quasi linear first order partial differential equations in
two independent variables 132
5.2 Two simultaneous first order quasi linear partial
differential equations 142
5.3 The second order quasi linear partial differential
equation 146
5.4 Characteristic treatment of the wave equation 149
5.5 Boundary and initial conditions for partial differential
equations 155
Answers to exercises 158
6 TRANSMISSION LINES 159
6.1 Use of Laplace transform for partial differential
equations with constant coefficients 159
6.2 The forms of physical laws 160
6.3 The transmission line equation 161
6.4 The error function; its asymptotic expansion 164
6.5 Kelvin s cable and the non inductive leaky cable 169
6.6 Heaviside cables 173
6.7 Finite Heaviside line; impedance matching 176
6.8 The general semi infinite transmission line, initially dead 179
6.9 Propagation of discontinuities 181
Answers to exercises 187
7 LINEAR ISENTROPIC ISOTROPIC
ELASTODYNAMICS 188
7.1 Governing equations stated; dilatational and rotational
waves 188
Contents ix
7.2 Rayleigh waves 194
7.3 Uniform pressure on spherical cavity 199
7.4 Reflection of plane sinusoidal waves at a free plane
boundary 203
7.5 Longitudinal waves in plates; Rayleigh Lamb theory 212
7.6 Approximate theories for longitudinal waves in plates 221
7.7 Other waves in bounded elastic media 226
Answers to exercises 228
8 LINEAR DILATATIONAL WAVES IN
THERMOELASTIC AND VOIGT SOLIDS 229
8.1 The derivation of governing equations 229
8.2 Sinusoidal thermoelastic waves 234
8.3 Voigt solid; half space problem 240
8.4 The thermoelastic half space problem 252
Answers to exercises 261
9 UNIDIRECTIONAL TRAFFIC FLOW 262
9.1 The governing partial differential equation 262
9.2 Strong discontinuities or shocks 265
9.3 Refined speed adjustment 273
9.4 Burgers equation 277
Answers to exercises 285
10 NON LINEAR PLANE DILATATIONAL
WAVES IN SOLIDS 286
10.1 Adiabatic dilatational shocks and waves in non linear
elasticity 286
10.2 Non linear Voigt solid 297
10.3 Non linear thermoelastic constant profile 300
Exercises 313
AUTHOR INDEX 315
SUBJECT INDEX 316
|
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| dewey-raw | 530.1/4 |
| dewey-search | 530.1/4 |
| dewey-sort | 3530.1 14 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV001774306 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:35:47Z |
| institution | BVB |
| isbn | 0198596545 0198596693 |
| language | English |
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| physical | IX, 317 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Clarendon Pr. |
| record_format | marc |
| series2 | Oxford applied mathematics and computing science series |
| spelling | Bland, David R. Verfasser aut Wave theory and applications D. R. Bland Oxford Clarendon Pr. 1988 IX, 317 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford applied mathematics and computing science series Mouvement ondulatoire, Théorie du ram Wave-motion, Theory of Welle (DE-588)4065310-9 gnd rswk-swf Wellengleichung (DE-588)4065315-8 gnd rswk-swf Wellengleichung (DE-588)4065315-8 s DE-604 Welle (DE-588)4065310-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001195764&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bland, David R. Wave theory and applications Mouvement ondulatoire, Théorie du ram Wave-motion, Theory of Welle (DE-588)4065310-9 gnd Wellengleichung (DE-588)4065315-8 gnd |
| subject_GND | (DE-588)4065310-9 (DE-588)4065315-8 |
| title | Wave theory and applications |
| title_auth | Wave theory and applications |
| title_exact_search | Wave theory and applications |
| title_full | Wave theory and applications D. R. Bland |
| title_fullStr | Wave theory and applications D. R. Bland |
| title_full_unstemmed | Wave theory and applications D. R. Bland |
| title_short | Wave theory and applications |
| title_sort | wave theory and applications |
| topic | Mouvement ondulatoire, Théorie du ram Wave-motion, Theory of Welle (DE-588)4065310-9 gnd Wellengleichung (DE-588)4065315-8 gnd |
| topic_facet | Mouvement ondulatoire, Théorie du Wave-motion, Theory of Welle Wellengleichung |
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