Fundamentals of biomechanics equilibrium, motion, and deformation
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| 100 | 1 | |a Özkaya, Nihat |d 1956-1998 |e Verfasser |0 (DE-588)121280101 |4 aut | |
| 245 | 1 | 0 | |a Fundamentals of biomechanics |b equilibrium, motion, and deformation |c Nihat Özkaya, David Goldsheyder, Margareta Nordin ; Project editor: Dawn Leger |
| 250 | |a Fourth edition | ||
| 264 | 1 | |a Cham, Switzerland |b Springer |c [2017] | |
| 264 | 4 | |c © 2017 | |
| 300 | |a xv, 454 Seiten |b Illustrationen, Diagramme | ||
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| 650 | 4 | |a Biomedicine | |
| 650 | 4 | |a Human Physiology | |
| 650 | 4 | |a Sports Medicine | |
| 650 | 4 | |a Biomedical Engineering | |
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|---|---|
| adam_text | Fundamentals of Biomechanics
Equilibrium, Motion, and Deformation
Fourth Edition
Nihat Ozkaya David Goldsheyder
Margareta Nordin
Project Editor: Dawn Leger
4^ Springer
Contents
S Chapter 1 Introduction
t11 Mechanics / 3
1 2 Biomechanics / 5
1 3 Basic Concepts / 6
,14 Newton’s Laws / 6
1 5 Dimensional Analysis / 7
1 6 Systems of Units / 9
*? 1 7 Conversion of Units /II
/18 Mathematics / 12
^19 Scalars and Vectors / 13
1 10 Modeling and Approximations / 13
1 11 Generalized Procedure / 14
5 1 12 Scope of the Text / 14
1 13 Notation / 15
References, Suggested Reading, and Other
Resources / 16
Chapter 2 Force Vector
2 1 Definition of Force / 23
2 2 Properties of Force as a Vector Quantity / 23
}23 Dimension and Units of Force / 23
i24 Force Systems / 24
25 External and Internal Forces / 24
2 6 Normal and Tangential Forces / 25
2 7 Tensile and Compressive Force / 25
•I* 2 8 Coplanar Forces / 25
2 9 Collinear Forces / 26
2 10 Concurrent Forces / 26
2 11 Parallel Force / 26
2 12 Gravitational Force or Weight / 26
2 13 Distributed Force Systems and Pressure / 27
2 14 Frictional Forces / 29
■ 2 15 Exercise Problems / 31
pter 3 Moment and Torque Vectors
;31 Definitions of Moment and Torque Vectors / 39
3 2 Magnitude of Moment / 39
3 3 Direction of Moment / 39
*3 4 Dimension and Units of Moment / 40
Contents
Chapter 1 Introduction 1
1 1 Mechanics / 3
1 2 Biomechanics / 5
1 3 Basic Concepts / 6
1 4 Newton’s Laws / 6
1 5 Dimensional Analysis / 7
1 6 Systems of Units / 9
1 7 Conversion of Units /II
1 8 Mathematics / 12
1 9 Scalars and Vectors / 13
1 10 Modeling and Approximations / 13
1 11 Generalized Procedure / 14
1 12 Scope of the Text / 14
1 13 Notation / 15
References, Suggested Reading, and Other
Resources / 16
Chapter 2 Force Vector 21
2 1 Definition of Force / 23
2 2 Properties of Force as a Vector Quantity / 23
2 3 Dimension and Units of Force / 23
2 4 Force Systems / 24
2 5 External and Internal Forces / 24
2 6 Normal and Tangential Forces / 25
2 7 Tensile and Compressive Force / 25
2 8 Coplanar Forces / 25
2 9 Collinear Forces / 26
2 10 Concurrent Forces / 26
2 11 Parallel Force / 26
2 12 Gravitational Force or Weight / 26
2 13 Distributed Force Systems and Pressure / 27
2 14 Frictional Forces / 29
2 15 Exercise Problems / 31
Chapter 3 Moment and Torque Vectors 37
3 1 Definitions of Moment and Torque Vectors / 39
3 2 Magnitude of Moment / 39
3 3 Direction of Moment / 39
3 4 Dimension and Units of Moment / 40
IX
3 5 Some Fine Points About the Moment Vector / 41
3 6 The Net or Resultant Moment / 42
3 7 The Couple and Couple-Moment / 47
3 8 Translation of Forces / 47
3 9 Moment as a Vector Product / 48
3 10 Exercise Problems / 53
Chapter 4 Statics: Systems in Equilibrium
4 1 Overview / 63
4 2 Newton’s Laws of Mechanics / 63
4 3 Conditions for Equilibrium / 65
4 4 Free-Body Diagrams / 67
4 5 Procedure to Analyze Systems in Equilibrium / 68
4 6 Notes Concerning the Equilibrium Equations / 69
4 7 Constraints and Reactions / 71
4 8 Simply Supported Structures / 71
4 9 Cable-Pulley Systems and Traction Devices / 78
4 10 Built-In Structures / 80
4 11 Systems Involving Friction / 86
4 12 Center of Gravity Determination / 88
4 13 Exercise Problems / 93
61
Chapter 5 Applications of Statics to Biomechanics 101
5 1 Skeletal Joints / 103
5 2 Skeletal Muscles / 104
5 3 Basic Considerations / 105
5 4 Basic Assumptions and Limitations / 106
5 5 Mechanics of the Elbow / 107
5 6 Mechanics of the Shoulder / 112
5 7 Mechanics of the Spinal Column / 116
5 8 Mechanics of the Hip / 121
5 9 Mechanics of the Knee / 128
5 10 Mechanics of the Ankle / 133
5 11 Exercise Problems / 135
References / 139
Chapter 6 Introduction to Dynamics
6 1 Dynamics / 143
6 2 Kinematics and Kinetics / 143
6 3 Linear, Angular, and General Motions / 144
6 4 Distance and Displacement / 145
6 5 Speed and Velocity / 145
6 6 Acceleration / 145
6 7 Inertia and Momentum / 146
6 8 Degree of Freedom / 146
6 9 Particle Concept / 146
6 10 Reference Frames and Coordinate Systems / 147
6 11 Prerequisites for Dynamic Analysis / 147
6 12 Topics to Be Covered / 147
141
Contents
xi
Chapter 7 Linear Kinematics 149
7 1 Uniaxial Motion / 151
7 2 Position, Displacement, Velocity,
and Acceleration / 151
7 3 Dimensions and Units / 153
7 4 Measured and Derived Quantities / 154
7 5 Uniaxial Motion with Constant Acceleration / 155
7 6 Examples of Uniaxial Motion / 157
7 7 Biaxial Motion / 163
7 8 Position, Velocity, and Acceleration Vectors / 163
7 9 Biaxial Motion with Constant Acceleration / 166
7 10 Projectile Motion / 167
7 11 Applications to Athletics / 170
7 12 Exercise Problems / 175
Chapter 8 Linear Kinetics 179
8 1 Overview / 181
8 2 Equations of Motion / 181
8 3 Special Cases of Translational Motion / 183
f831 Force Is Constant / 183
832 Force Is a Function of Time / 184
I833 Force Is a Function of Displacement / 184
8 4 Procedure for Problem Solving in Kinetics / 185
8 5 Work and Energy Methods / 187
8 6 Mechanical Work / 188
?861 Work Done by a Constant Force / 188
*862 Work Done by a Varying Force / 189
863 Work as a Scalar Product / 189
8 7 Mechanical Energy / 190
i871 Potential Energy / 190
872 Kinetic Energy / 191
5 8 Work-Energy Theorem / 191
8 9 Conservation of Energy Principle / 191
| 10 Dimension and Units of Work and Energy / 192
3 11 Power / 192
8 12 Applications of Energy Methods / 193
8 13 Exercise Problems / 198
pter 9 Angular Kinematics 203
;91 Polar Coordinates / 205
;92 Angular Position and Displacement / 205
9 3 Angular Velocity / 206
4 Angular Acceleration / 206
J5 Dimensions and Units / 207
6 Definitions of Basic Concepts / 208
,7 Rotational Motion About a Fixed Axis / 217
Relationships Between Linear and Angular
it Quantities / 218
9 Uniform Circular Motion / 219
Rotational Motion with Constant Acceleration / 219
1 Relative Motion / 220
Contents
XI
Chapter
7 1
7 2
7 3
7 4
7 5
7 6
7 7
7 8
7 9
7 10
7 11
7 12
Chapter
8 1
8 2
8 3
8 4
8 5
8 6
8 7
8 8
8 9
8 10
8 11
8 12
8 13
Chapter
9 1
9 2
9 3
9 4
9 5
9 6
9 7
9 8
9 9
9 10
9 11
7 Linear Kinematics 149
Uniaxial Motion / 151
Position, Displacement, Velocity,
and Acceleration / 151
Dimensions and Units / 153
Measured and Derived Quantities / 154
Uniaxial Motion with Constant Acceleration / 155
Examples of Uniaxial Motion / 157
Biaxial Motion / 163
Position, Velocity, and Acceleration Vectors / 163
Biaxial Motion with Constant Acceleration / 166
Projectile Motion / 167
Applications to Athletics / 170
Exercise Problems / 175
8 Linear Kinetics 179
Overview / 181
Equations of Motion / 181
Special Cases of Translational Motion / 183
831 Force Is Constant / 183
832 Force Is a Function of Time / 184
833 Force Is a Function of Displacement / 184
Procedure for Problem Solving in Kinetics / 185
Work and Energy Methods / 187
Mechanical Work / 188
861 Work Done by a Constant Force / 188
862 Work Done by a Varying Force / 189
863 Work as a Scalar Product / 189
Mechanical Energy / 190
871 Potential Energy / 190
872 Kinetic Energy / 191
Work-Energy Theorem / 191
Conservation of Energy Principle / 191
Dimension and Units of Work and Energy / 192
Power / 192
Applications of Energy Methods / 193
Exercise Problems / 198
9 Angular Kinematics 203
Polar Coordinates / 205
Angular Position and Displacement / 205
Angular Velocity / 206
Angular Acceleration / 206
Dimensions and Units / 207
Definitions of Basic Concepts / 208
Rotational Motion About a Fixed Axis / 217
Relationships Between Linear and Angular
Quantities / 218
Uniform Circular Motion / 219
Rotational Motion with Constant Acceleration / 219
Relative Motion / 220
XII
Contents
9 12 Linkage Systems / 222
9 13 Exercise Problems / 226
Chapter 10 Angular Kinetics
10 1 Kinetics of Angular Motion / 233
10 2 Torque and Angular Acceleration / 239
10 3 Mass Moment of Inertia / 240
10 4 Parallel-Axis Theorem / 242
10 5 Radius of Gyration / 242
10 6 Segmental Motion Analysis / 243
10 7 Rotational Kinetic Energy / 247
10 8 Angular Work and Power / 248
10 9 Exercise Problems / 250
231
Chapter 11 Impulse and Momentum
11 1 Introduction / 255
11 2 Linear Momentum and Impulse / 255
11 3 Applications of the Impulse-Momentum
Method / 257
11 4 Conservation of Linear Momentum / 264
11 5 Impact and Collisions / 264
11 6 One-Dimensional Collisions / 265
11 6 1 Perfectly Inelastic Collision / 266
11 6 2 Perfectly Elastic Collision / 267
11 6 3 Elastoplastic Collision / 268
11 7 Two-Dimensional Collisions / 270
11 8 Angular Impulse and Momentum / 273
11 9 Summary of Basic Equations / 274
11 10 Kinetics of Rigid Bodies in Plane Motion / 275
11 11 Exercise Problems / 276
253
Chapter 12 Introduction to Deformable Body
Mechanics 279
12 1 Overview / 281
12 2 Applied Forces and Deformations / 282
12 3 Internal Forces and Moments / 282
12 4 Stress and Strain / 283
12 5 General Procedure / 284
12 6 Mathematics Involved / 285
12 7 Topics to Be Covered / 285
Suggested Reading / 286
Chapter 13 Stress and Strain 287
13 1 Basic Loading Configurations / 289
13 2 Uniaxial Tension Test / 289
13 3 Load-Elongation Diagrams / 290
13 4 Simple Stress / 291
13 5 Simple Strain / 292
13 6 Stress-Strain Diagrams / 294
Contents
xiii
13 7 Elastic Deformations / 295
13 8 Hooke’s Law / 297
13 9 Plastic Deformations / 297
13 10 Necking / 298
13 11 Work and Strain Energy / 299
13 12 Strain Hardening / 299
13 13 Hysteresis Loop / 299
13 14 Properties Based on Stress-Strain Diagrams / 300
13 15 Idealized Models of Material Behavior / 300
13 16 Mechanical Properties of Materials / 301
13 17 Example Problems / 302
13 18 Exercise Problems / 309
Chapter 14 Multiaxial Deformations and Stress
Analyses 317
14 1 Poisson’s Ratio / 319
14 2 Biaxial and Triaxial Stresses / 320
14 3 Stress Transformation / 325
14 4 Principal Stresses / 326
14 5 Mohr’s Circle / 327
14 6 Failure Theories / 330
14 7 Allowable Stress and Factor of Safety / 332
14 8 Factors Affecting the Strength of Materials / 333
14 9 Fatigue and Endurance / 334
14 10 Stress Concentration / 335
14 11 Torsion/337
14 12 Bending/344
14 13 Combined Loading / 354
14 14 Exercise Problems / 356
Chapter 15 Mechanical Properties of Biological
Tissues
15 1 Viscoelasticity / 363
15 2 Analogies Based on Springs and Dashpots / 364
15 3 Empirical Models of Viscoelasticity / 365
15 3 1 Kelvin-Voight Model / 365
15 3 2 Maxwell Model / 366
15 3 3 Standard Solid Model / 367
15 4 Time-Dependent Material Response / 368
15 5 Comparison of Elasticity and Viscoelasticity / 369
15 6 Common Characteristics of Biological Tissues / 371
15 7 Biomechanics of Bone / 373
15 7 1 Composition of Bone / 373
15 7 2 Mechanical Properties of Bone / 374
15 7 3 Structural Integrity of Bone / 376
15 7 4 Bone Fractures / 377
15 8 Tendons and Ligaments / 378
15 9 Skeletal Muscles / 379
15 10 Articular Cartilage / 381
15 11 Discussion / 382
15 12 Exercise Problems / 383
361
XIV
Contents
Appendix A: Plane Geometry 389
A l Angles / 391
A 2 Triangles / 391
A 3 Law of Sines / 392
A 4 Law of Cosine / 392
A 5 The Right Triangle / 392
A 6 Pythagorean Theorem / 392
A 7 Sine, Cosine, and Tangent / 393
A 8 Inverse Sine, Cosine, and Tangent / 394
A 9 Exercise Problems / 397
Appendix B: Vector Algebra 401
B l Definitions / 403
B 2 Notation / 403
B 3 Multiplication of a Vector by a Scalar / 404
B 4 Negative Vector / 404
B 5 Addition of Vectors: Graphical Methods / 404
B 6 Subtraction of Vectors / 405
B 7 Addition of More Than Two Vectors / 405
B 8 Projection of Vectors / 406
B 9 Resolution of Vectors / 406
B 10 Unit Vectors / 407
B ll Rectangular Coordinates / 407
B 12 Addition of Vectors: Trigonometric Method / 409
B 13 Three-Dimensional Components of Vectors / 414
B 14 Dot (Scalar) Product of Vectors / 415
B 15 Cross (Vector) Product of Vectors / 416
B 16 Exercise Problems / 419
Appendix C: Calculus 423
C l Functions / 425
C11 Constant Functions / 426
Cl2 Power Functions / 426
Cl3 Linear Functions / 428
Cl4 Quadratic Functions / 428
Cl5 Polynomial Functions / 429
Cl6 Trigonometric Functions / 429
Cl7 Exponential and Logarithmic Functions / 431
C 2 The Derivative / 432
C21 Derivatives of Basic Functions / 432
C22 The Constant Multiple Rule / 433
C23 The Sum Rule / 434
C24 The Product Rule / 435
C25 The Quotient Rule / 435
C26 The Chain Rule / 436
C27 Implicit Differentiation / 438
C28 Higher Derivatives / 438
C 3 The Integral / 439
C31 Properties of Indefinite Integrals / 441
C32 Properties of Definite Integrals / 442
C33 Methods of Integration / 444
Contents
xv
C 4
C 5
C 6
Index
i
Trigonometrie Identities / 445
The Quadratic Formula / 446
Exercise Problems / 447
|
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| author | Özkaya, Nihat 1956-1998 Goldsheyder, David Nordin, Margareta |
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| dewey-tens | 610 - Medicine and health |
| discipline | Sport Biologie Medizin |
| edition | Fourth edition |
| format | Book |
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| indexdate | 2024-12-24T05:39:15Z |
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| isbn | 9783319447377 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029413140 |
| oclc_num | 972694902 |
| open_access_boolean | |
| owner | DE-29T DE-20 DE-11 |
| owner_facet | DE-29T DE-20 DE-11 |
| physical | xv, 454 Seiten Illustrationen, Diagramme |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Özkaya, Nihat 1956-1998 Goldsheyder, David Nordin, Margareta Fundamentals of biomechanics equilibrium, motion, and deformation Medicine Human physiology Biomedical engineering Orthopedics Rehabilitation Sports medicine Biomedicine Human Physiology Sports Medicine Biomedical Engineering Biomedical Engineering/Biotechnology Medizin Biomechanik (DE-588)4006880-8 gnd |
| subject_GND | (DE-588)4006880-8 (DE-588)4151278-9 |
| title | Fundamentals of biomechanics equilibrium, motion, and deformation |
| title_auth | Fundamentals of biomechanics equilibrium, motion, and deformation |
| title_exact_search | Fundamentals of biomechanics equilibrium, motion, and deformation |
| title_full | Fundamentals of biomechanics equilibrium, motion, and deformation Nihat Özkaya, David Goldsheyder, Margareta Nordin ; Project editor: Dawn Leger |
| title_fullStr | Fundamentals of biomechanics equilibrium, motion, and deformation Nihat Özkaya, David Goldsheyder, Margareta Nordin ; Project editor: Dawn Leger |
| title_full_unstemmed | Fundamentals of biomechanics equilibrium, motion, and deformation Nihat Özkaya, David Goldsheyder, Margareta Nordin ; Project editor: Dawn Leger |
| title_short | Fundamentals of biomechanics |
| title_sort | fundamentals of biomechanics equilibrium motion and deformation |
| title_sub | equilibrium, motion, and deformation |
| topic | Medicine Human physiology Biomedical engineering Orthopedics Rehabilitation Sports medicine Biomedicine Human Physiology Sports Medicine Biomedical Engineering Biomedical Engineering/Biotechnology Medizin Biomechanik (DE-588)4006880-8 gnd |
| topic_facet | Medicine Human physiology Biomedical engineering Orthopedics Rehabilitation Sports medicine Biomedicine Human Physiology Sports Medicine Biomedical Engineering Biomedical Engineering/Biotechnology Medizin Biomechanik Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029413140&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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