Wave propagation in solid and porous half-space media:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
2014
|
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XXV, 304 S. graph. Darst. |
| ISBN: | 1461492688 9781461492689 |
Staff View
MARC
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| 020 | |a 9781461492689 |9 978-1-4614-9268-9 | ||
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| 100 | 1 | |a Hamidzadeh, Hamid R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wave propagation in solid and porous half-space media |c Hamid R. Hamidzadeh ; Liming Dai ; Reza N. Jazar |
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 2014 | |
| 300 | |a XXV, 304 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 700 | 1 | |a Dai, Liming |e Verfasser |4 aut | |
| 700 | 1 | |a Jazar, Reza N. |e Verfasser |0 (DE-588)1172360308 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4614-9269-6 |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-027215180 | ||
Record in the Search Index
| _version_ | 1804152077011648512 |
|---|---|
| adam_text | Contents
1
Introduction
................................................................. 1
1.1
Surface
Response
Due
to Concentrated
Forces
..................... 2
1.2
Dynamic Response of Foundations
.................................. 4
1.2.1
Assumed Contact Stress Distributions
..................... 4
1.2.2
Mixed Boundary Value Problems
.......................... 5
1.2.3
Lumped Parameter Models
................................. 7
1.2.4
Computational Methods
.................................... 8
1.3
Coupled Vibrations of Foundations
................................. 9
1.4
Interactions Between Foundations
................................... 11
1.5
Experimental Studies
................................................. 12
1.6
Layered Elastic Medium
............................................. 13
2
Governing Equations
....................................................... 15
2.1
Derivation of Equations of Motion
.................................. 16
2.2
Stress-Strain Relation
................................................ 16
2.3
Strains in Terms of Displacements
.................................. 17
2.4
Elastic Rotations in Terms of Displacements
....................... 19
2.5
Equations of Motion
................................................. 19
2.6
Displacements in Terms of Dilatation and Rotation
Components
.......................................................... 21
2.7
Stresses in Terms of Dilatation and Rotation Components
......... 22
2.8
Fourier Transformation of Equations of Motion,
Boundary Stresses, and Displacements
............................. 24
2.9
General Solution of Transformed Equations of Motion
............ 25
3
Surface Response of an Elastic Half-Space
Due to a Vertical Harmonic Point Force
................................. 29
3.1
Boundary Conditions of the Problem
............................... 30
3.2
Integral Representations of Displacements
......................... 31
3.3
Real Root of Rayleigh s Function
................................... 34
3 .4
Sy stem of Free Waves
................................................ 35
3.5
Evaluation of Displacements
........................................ 36
xiii
xiv
Contents
3.6
Numerical Integration for Displacements
........................... 40
3.7
Evaluation of A{
...................................................... 40
3.8
Evaluation of A2
...................................................... 41
3.9
Evaluation of A3
...................................................... 41
3.10
Results and Discussion
............................................... 42
4
Response of the Surface of an Elastic Half-Space Due
to a Horizontal Harmonic Point Force
................................... 55
4.1
Boundary Conditions for the Problem
.............................. 56
4.2
Integral Representations of Displacements
......................... 57
4.3
Rayleigh Wave Displacements
....................................... 60
4.4
Evaluation of Displacements
........................................ 60
4.5
Numerical Integration of Displacements
............................ 69
4.6
Results and Discussion
............................................... 70
5
Dynamics of a Rigid Foundation on the Surface
of an Elastic Half-Space
.................................................... 85
5.1
Introduction
........................................................... 86
5.2
Method of Analysis for a Massless Base
............................ 89
5.2.1
Comparison
................................................. 93
5.3
Dynamic Response of a Massive Foundation
....................... 96
5.4
Experimental Verification
............................................ 102
5.5
Discussion and Conclusion
.......................................... 102
5.6
Simultaneous Horizontal and Rocking Vibration
of Rectangular Footing
............................................... 104
5.6.1
Equation of Motion
......................................... 105
5.6.2
Results and Discussions
.................................... 107
5.7
Response of Two Massive Bases on an Elastic
Half-Space Medium
.................................................. 110
5.7.1
Introduction
................................................. 110
5.7.2
Displacement of a Massless Passive Footing
Due to Oscillations of an Active Massless Footing
.......
Ill
5.7.3
Interactions Between Two Massive Bases
................. 115
5.7.4
Results and Discussion
..................................... 118
6
Experiments on Elastic Half-Space Medium
............................ 121
6.1
Introduction
........................................................... 121
6.2
Determination of Shear Modulus for the Medium
.................. 123
6.3
Determination of Dynamic Properties of the Medium
............. 126
6.4
Laboratory Half-Space Medium
..................................... 127
6.4.1
Apparatus
................................................... 128
6.4.2
Static Properties of the Medium
........................... 129
6.4.3
Dynamic Properties of the Medium
....................... 131
6.5
Experimental Vibration Response of Massive
Rectangular and Circular Bases
..................................... 134
Contents xv
6.6
Experimental
Response of Coupled Horizontal
and Rocking Vibration
............................................... 136
6.7
Measurement of Dynamic Properties of Elastic
Half-Space Medium Using Square Footings
........................ 138
6.7.1
Mathematical Model
........................................ 138
6.7.2
Experimental Results
....................................... 139
7
Dynamic Response of a Rigid Foundation Subjected
to a Distance Blast
.......................................................... 143
7.1
Introduction
........................................................... 144
7.2
Surface Response Due to Concentrated Forces
..................... 144
7.3
Governing Equation of Motion
...................................... 146
7.4
Results and Discussions
.............................................. 149
7.5
Conclusion
............................................................ 151
8
Identification of Vertical Exciting Force on the Surface
of an Elastic Half-Space Using Sensor Fusion
........................... 153
8.1
Introduction
........................................................... 154
8.2
Numerical Techniques
............................................... 155
8.3
Determination of the Source Location
.............................. 155
8.4
Conclusions
........................................................... 158
9
Surface Vibration of a Multilayered Elastic Medium Due
to Harmonic Concentrated Force
......................................... 159
9.1
Introduction
........................................................... 160
9.2
Equation of Motion
.................................................. 161
9.2.1
Displacement Equations
.................................... 164
9.2.2
Stress Equations
............................................ 165
9.2.3
Shear Stress Equations
..................................... 166
9.2.4
Solutions of the Governing Equations
..................... 167
9.2.5
General Solutions of Transformed Equations of Motion
. 176
9.2.6
Harmonic Response of the Surface Due
to a Concentrated Vertical Load
........................... 179
9.3
Results and Discussions
.............................................. 181
9.3.1
Vertical and Horizontal Surface Load
on the One-Layered Mediums
............................. 181
9.3.2
Vertical and Horizontal Surface Load
on the Two-Layered Mediums
............................. 183
9.4
Conclusion
............................................................ 185
10
Three-Dimensional Wave Propagations in Porous
Half-Space Subjected to Multiple Energy Excitations
................. 187
10.1
Introduction
........................................................... 189
10.2
Porous Materials and Porous Media in Petroleum Industry
........ 194
10.2.1
Porous Materials
............................................ 194
10.2.2
Porous Media and Enhanced Oil Recovery
in Petroleum Industry
....................................... 201
xvi Contents
10.3 Development
of
General
Governing Equations
in Relative
Displacements for Wave Propagations
in Porous Media
...................................................... 203
10.3.1
Bioť s
Theory
............................................... 204
10.4
Fractal Dimension Development of
3D
Wave Model
for Wave Propagations in Half-Space Porous Media
............... 211
10.4.1
Governing Equation Development
......................... 213
10.4.2
Establishment of Wave Propagation Model
with Multiple Energy Sources
............................. 216
10.4.3
Numerical Study
............................................ 220
10.5
Wave Field in Porous Half-Space Media Saturated
with Newtonian Viscous Fluid
....................................... 230
10.5.1
Development of Governing Wave Equations
.............. 230
10.5.2
Wave Propagation and Displacement Field
Model with Viscosity
....................................... 233
10.5.3
Effects of Viscosity on Wave Dispersion
in Porous Half-Space Under Multiple Energy Sources
... 236
10.6
Wave Field of a Porous Half-Space Medium Saturated
with Two Immiscible Fluids Under the Excitations
of Multiple Wave Sources
............................................ 249
10.6.1
Volume Averaging Method
................................. 250
10.6.2
Governing Equation Development
......................... 250
10.6.3
Multisource Model
......................................... 254
10.6.4
Numerical Analyses
........................................ 256
Appendix A: Double Complex Fourier Transform
........................... 267
A.
1
Fourier Transform of Function
...................................... 267
A.
1.1
Fourier Transform of Derivatives of Functions
........... 268
A.
1.2
Inverse of Fourier Transform
............................... 268
A.
1.3
Fourier Transform of the Dirac Delta Function
........... 269
Appendix B: Evaluation of Certain Infinite Integrals
........................ 271
Appendix C: Numerical Evaluation of Certain Integrals
.................... 277
С
1
The Numerical Evaluation of Cauchy Principal Values
of the Integral
......................................................... 277
C.2 Integral of the Form f£(b-x)a(x-
a)ß
f (x)dx
.................. 278
Appendix D: Trigonometric Formulae
......................................... 281
References
......................................................................... 287
Index
............................................................................... 299
Hamid
R, Hamidzadeh
■
Liming Dai
·
Reza
N.
tor
Wave Propagation in Solid and Porous Half-Space Media
This unique book covers advanced topics in dynamic modeling of soil-foundation
interaction, as well as the response of elastic semi-infinite media from an applications
viewpoint. Advanced concepts such as solutions for analysis of elastic semi-infinite
mediums, fluid motion in porous media, and nonlinearities in dynamic behavior are
explained in great detail. Related theories and numerical analysis for independent
vertical horizontal and rocking as well as coupled horizontal and rocking vibrations of
a rigid rectangular base resting on the surface of a semi-infinite medium are presented.
Throughout the book, a strong emphasis is placed on applications. A laboratory model
for elastic halt-space medium is also described.
This book also:
•
Provides a systematic solution for analysis of elastic semi-infinite mediums
when subjected to different loading conditions
•
Offers a solution for the continuous elastic medium that is also extended to
visco-elastic media by considering complex elastic modules
•
Presents advanced concepts in wave propagation from a practical and
application -based standpoint so that readers can use the theories in the field
|
| any_adam_object | 1 |
| author | Hamidzadeh, Hamid R. Dai, Liming Jazar, Reza N. |
| author_GND | (DE-588)1172360308 |
| author_facet | Hamidzadeh, Hamid R. Dai, Liming Jazar, Reza N. |
| author_role | aut aut aut |
| author_sort | Hamidzadeh, Hamid R. |
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| ctrlnum | (OCoLC)891592576 (DE-599)BVBBV041769150 |
| dewey-full | 624.15136 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 624 - Civil engineering |
| dewey-raw | 624.15136 |
| dewey-search | 624.15136 |
| dewey-sort | 3624.15136 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Bauingenieurwesen |
| format | Book |
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| id | DE-604.BV041769150 |
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| indexdate | 2024-07-10T01:04:58Z |
| institution | BVB |
| isbn | 1461492688 9781461492689 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027215180 |
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| owner_facet | DE-703 |
| physical | XXV, 304 S. graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| spelling | Hamidzadeh, Hamid R. Verfasser aut Wave propagation in solid and porous half-space media Hamid R. Hamidzadeh ; Liming Dai ; Reza N. Jazar New York, NY [u.a.] Springer 2014 XXV, 304 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dai, Liming Verfasser aut Jazar, Reza N. Verfasser (DE-588)1172360308 aut Erscheint auch als Online-Ausgabe 978-1-4614-9269-6 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027215180&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027215180&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Hamidzadeh, Hamid R. Dai, Liming Jazar, Reza N. Wave propagation in solid and porous half-space media |
| title | Wave propagation in solid and porous half-space media |
| title_auth | Wave propagation in solid and porous half-space media |
| title_exact_search | Wave propagation in solid and porous half-space media |
| title_full | Wave propagation in solid and porous half-space media Hamid R. Hamidzadeh ; Liming Dai ; Reza N. Jazar |
| title_fullStr | Wave propagation in solid and porous half-space media Hamid R. Hamidzadeh ; Liming Dai ; Reza N. Jazar |
| title_full_unstemmed | Wave propagation in solid and porous half-space media Hamid R. Hamidzadeh ; Liming Dai ; Reza N. Jazar |
| title_short | Wave propagation in solid and porous half-space media |
| title_sort | wave propagation in solid and porous half space media |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027215180&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027215180&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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