Fundamentals of biomechanics: equilibrium, motion, and deformation
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
New York [u.a.]
Springer
1999
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXI, 393 S. graph. Darst. |
| ISBN: | 0387982833 |
Staff View
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| 245 | 1 | 0 | |a Fundamentals of biomechanics |b equilibrium, motion, and deformation |c Nihat Özkaya ; Margareta Nordin |
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Record in the Search Index
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| adam_text | Contents
Foreword to the Second Edition vii
Victor H. Frankel
Foreword to the First Edition ix
Richard Skalak
Preface to the Second Edition xi
Acknowledgments xiii
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 / 8
1.7 Conversion of Units / 10
1.8 Mathematics / 11
1.9 Scalars and Vectors / 12
1.10 Modeling and Approximations / 12
1.11 Generalized Procedure / 13
1.12 Scope of the Text / 13
1.13 Notation / 14
1.14 References and Suggested Reading / 14
Chapter 2 Force Vector 17
2.1 Definition of Force / 19
2.2 Properties of Force as a Vector Quantity / 19
2.3 Dimension and Units of Force / 19
2.4 Force Systems / 20
2.5 External and Internal Forces / 20
2.6 Normal and Tangential Forces / 20
2.7 Tensile and Compressive Forces / 21
2.8 Coplanar Forces / 21
2.9 Collinear Forces / 21
2.10 Concurrent Forces / 21
2.11 Parallel Forces / 22
2.12 Gravitational Force or Weight / 22
2.13 Distributed Force Systems and Pressure / 23
2.14 Frictional Forces / 24
2.15 Exercise Problems / 27
Chapter 3 Moment and Torque 29
3.1 Definitions of Moment and Torque Vectors / 31
3.2 Magnitude of Moment / 31
3.3 Direction of Moment / 31
3.4 Dimension and Units of Moment / 32
3.5 Some Fine Points About the Moment Vector / 33
3.6 The Net or Resultant Moment / 34
3.7 The Couple and Couple Moment / 39
3.8 Translation of Forces / 39
3.9 Moment as a Vector Product / 40
3.10 Exercise Problems / 44
Chapter 4 Statics: Analyses of Systems in
Equilibrium 47
4.1 Overview / 49
4.2 Newton s Laws of Mechanics / 49
4.3 Conditions for Equilibrium / 51
4.4 Free Body Diagrams / 53
4.5 Procedure to Analyze Systems in Equilibrium / 54
4.6 Notes Concerning the Equilibrium Equations / 55
4.7 Constraints and Reactions / 56
4.8 Simply Supported Structures / 58
4.9 Cable Pulley Systems and Traction Devices / 63
4.10 Built in Structures / 65
4.11 Systems Involving Friction / 71
4.12 Center of Gravity Determinations / 73
4.13 Exercise Problems / 77
Chapter 5 Applications of Statics to Biomechanics 81
5.1 Skeletal Joints / 83
5.2 Skeletal Muscles / 84
5.3 Basic Considerations / 85
5.4 Basic Assumptions and Limitations / 85
5.5 Mechanics of the Elbow / 86
5.6 Mechanics of the Shoulder / 91
5.7 Mechanics of the Spinal Column / 95
5.8 Mechanics of the Hip / 100
5.9 Mechanics of the Knee / 107
5.10 Mechanics of the Ankle / 111
5.11 Discussion / 113
5.12 Suggested Reading / 115
Chapter 6 Introduction to Deformable Body
Mechanics 117
6.1 Overview / 119
6.2 Applied Forces and Deformations / 119
6.3 Internal Forces and Moments / 120
6.4 Stress and Strain / 121
6.5 General Procedure / 122
6.6 Mathematics Involved / 123
6.7 Topics to Be Covered / 123
6.8 Suggested Reading / 123
Chapter 7 Stress and Strain 125
7.1 Basic Loading Configurations / 127
7.2 Uniaxial Tension Test / 127
7.3 Load Elongation Diagrams / 127
7.4 Simple Stress / 128
7.5 Simple Strain / 130
7.6 Stress Strain Diagrams / 132
7.7 Elastic Deformations / 133
7.8 Hooke sLaw / 134
7.9 Plastic Deformations / 135
7.10 Necking / 136
7.11 Work and Strain Energy / 136
7.12 Strain Hardening / 137
7.13 Hysteresis Loop / 137
7.14 Properties Based on Stress Strain Diagrams / 137
7.15 Idealized Models of Material Behavior / 138
7.16 Mechanical Properties of Materials / 139
7.17 Example Problems / 140
7.18 Exercise Problems / 147
Chapter 8 Multiaxial Deformations and Stress
Analyses 153
8.1 Poisson s Ratio / 155
8.2 Biaxial and Triaxial Stresses / 156
8.3 Stress Transformation / 161
8.4 Principal Stresses / 161
8.5 Mohr s Circle / 163
8.6 Failure Theories / 166
8.7 Allowable Stress and Factor of Safety / 168
8.8 Factors Affecting Strength of Materials / 169
8.9 Fatigue and Endurance / 169
8.10 Stress Concentration / 171
8.11 Torsion / 173
8.12 Bending / 179
8.13 Combined Loading / 189
8.14 Exercise Problems / 191
Chapter 9 Mechanical Properties of Biological
Tissues 195
9.1 Viscoelasticity / 197
9.2 Analogies Based on Springs and Dashpots / 198
9.3 Empirical Models of Viscoelasticity / 199
9.3.1 Kelvin Voight model / 199
9.3.2 Maxwell model / 200
9.3.3 Standard solid model / 201
9.4 Time Dependent Material Response / 202
9.5 Comparison of Elasticity and Viscoelasticity / 203
9.6 Common Characteristics of Biological Tissues / 205
9.7 BiomechanicsofBone / 206
9.7.1 Composition of bone / 207
9.7.2 Mechanical properties of bone / 207
9.7.3 Structural integrity of bone / 209
9.7.4 Bone fractures / 210
9.8 Biomechanics of Tendons and Ligaments / 211
9.9 Biomechanics of Skeletal Muscles / 213
9.10 Biomechanics of Articular Cartilage / 214
9.11 Discussion / 216
9.12 Exercise Problems / 216
Chapter 10 Introduction to Dynamics 219
10.1 Dynamics / 221
10.2 Kinematics and Kinetics / 221
10.3 Linear, Angular, and General Motions / 221
10.4 Distance and Displacement / 222
10.5 Speed and Velocity / 223
10.6 Acceleration / 223
10.7 Inertia and Momentum / 223
10.8 Degree of Freedom / 224
10.9 Particle Concept / 224
10.10 Reference Frames and Coordinate Systems / 224
10.11 Prerequisites for Dynamic Analysis / 225
10.12 Topics to Be Covered / 225
Chapter 11 Linear Kinematics 227
11.1 Uniaxial Motion / 229
11.2 Position, Displacement, Velocity, and Acceleration / 229
11.3 Dimensions and Units / 231
11.4 Measured and Derived Quantities / 232
11.5 Uniaxial Motion with Constant Acceleration / 233
11.6 Examples of Uniaxial Motion / 234
11.7 Biaxial Motion / 240
11.8 Position, Velocity, and Acceleration Vectors / 240
11.9 Biaxial Motion with Constant Acceleration / 242
11.10 Projectile Motion / 243
11.11 Applications to Athletics / 246
11.12 Exercise Problems / 251
Chapter 12 Linear Kinetics 253
12.1 Overview / 255
12.2 Equations of Motion / 255
12.3 Special Cases of Translational Motion / 257
12.3.1 Force is constant / 257
12.3.2 Force is a function of time / 258
12.3.3 Force is a function of displacement / 258
12.4 Procedure for Problem Solving in Kinetics / 259
12.5 Work and Energy Methods / 261
12.6 Mechanical Work / 261
12.6.1 Work done by a constant force / 261
12.6.2 Work done by a varying force / 262
12.6.3 Work as a scalar product / 263
12.7 Mechanical Energy / 264
12.7.1 Potential energy / 264
12.7.2 Kinetic energy / 264
12.8 Work Energy Theorem / 264
12.9 Conservation of Energy Principle / 264
12.10 Dimension and Units of Work and Energy / 265
12.11 Power / 265
12.12 Applications of Energy Methods / 266
12.13 Exercise Problems / 271
Chapter 13 Angular Kinematics 273
13.1 Polar Coordinates / 275
13.2 Angular Position and Displacement / 275
13.3 Angular Velocity / 276
13.4 Angular Acceleration / 276
13.5 Dimensions and Units / 277
13.6 Definitions of Basic Concepts / 277
13.7 Rotational Motion About a Fixed Axis / 285
13.8 Relationships Between Linear and Angular Quantities / 287
13.9 Uniform Circular Motion / 288
13.10 Rotational Motion with Constant Acceleration / 288
13.11 Relative Motion / 288
13.12 Linkage Systems / 291
Chapter 14 Angular Kinetics 295
14.1 Kinetics of Angular Motion / 297
14.2 Torque and Angular Acceleration / 303
14.3 Mass Moment of Inertia / 304
14.4 Parallel Axis Theorem / 305
14.5 Radius of Gyration / 306
14.6 Segmental Motion Analysis / 306
14.7 Rotational Kinetic Energy / 311
14.8 Angular Work and Power / 311
Chapter 15 Impulse and Momentum 315
15.1 Introduction / 317
15.2 Linear Momentum and Impulse / 317
15.3 Applications of the Impulse Momentum Method / 319
15.4 Conservation of Linear Momentum / 325
15.5 Impact and Collisions / 326
15.6 One Dimensional Collisions / 327
15.6.1 Perfectly inelastic collision / 327
15.6.2 Perfectly elastic collision / 328
15.6.3 Elasto plastic collision / 329
15.7 Two Dimensional Collisions / 331
15.8 Angular Impulse and Momentum / 334
15.9 Summary of Basic Equations / 334
15.10 Kinetics of Rigid Bodies in Plane Motion / 335
Appendix A Plane Geometry 337
A.I Angles / 339
A.2 Triangles / 339
A.3 Law of Sines / 339
A.4 The Right Triangle / 339
A.5 Pythagorean Theorem / 340
A.6 Sine, Cosine, and Tangent / 340
A.7 Inverse Sine, Cosine, and Tangent / 341
Appendix B Vector Algebra 343
B.I Definitions / 345
B.2 Notation / 345
B.3 Multiplication of a Vector by a Scalar / 346
B.4 Negative Vector / 346
B.5 Addition of Vectors: Graphical Methods / 346
B.6 Subtraction of Vectors / 347
B.7 Addition of More Than Two Vectors / 347
B.8 Projection of Vectors / 347
B.9 Resolution of Vectors / 348
B.10 Unit Vectors / 348
B.ll Rectangular Coordinates / 349
B.12 Addition of Vectors: Trigonometric Method / 349
B.13 Three Dimensional Components of Vectors / 353
B.14 Dot (Scalar) Product of Vectors / 354
B.15 Cross (Vector) Product of Vectors / 355
B.16 Exercise Problems / 357
Appendix C Calculus 359
C.I Functions / 361
C.I.I Constant functions / 362
C.1.2 Power functions / 362
C.1.3 Linear functions / 362
C.I.4 Quadratic functions / 363
C.I.5 Polynomial functions / 363
C.I.6 Trigonometric functions / 364
C.I.7 Exponential and logarithmic functions / 365
C.2 The Derivative / 366
C.2.1 Derivatives of basic functions / 366
C.2.2 The constant multiple rule / 367
C.2.3 The sum rule / 368
C.2.4 The product rule / 369
C.2.5 The quotient rule / 369
C.2.6 The chain rule / 370
C.2.7 Implicit differentiation / 372
C.2.8 Higher derivatives / 372
C.3 The Integral / 373
C.3.1 Properties of indefinite integrals / 374
C.3.2 Properties of definite integrals / 375
C.3.3 Methods of integration / 377
C.4 Trigonometric Identities / 378
C.5 The Quadratic Formula / 379
C.6 Exercise Problems / 381
Index 383
|
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| spelling | Özkaya, Nihat 1956-1998 Verfasser (DE-588)121280101 aut Fundamentals of biomechanics equilibrium, motion, and deformation Nihat Özkaya ; Margareta Nordin 2. ed. New York [u.a.] Springer 1999 XXI, 393 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Biomécanique Biyomekanik Biomechanics Biomechanik (DE-588)4006880-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Biomechanik (DE-588)4006880-8 s DE-604 Nordin, Margareta Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008661515&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Özkaya, Nihat 1956-1998 Nordin, Margareta Fundamentals of biomechanics equilibrium, motion, and deformation Biomécanique Biyomekanik Biomechanics 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 ; Margareta Nordin |
| title_fullStr | Fundamentals of biomechanics equilibrium, motion, and deformation Nihat Özkaya ; Margareta Nordin |
| title_full_unstemmed | Fundamentals of biomechanics equilibrium, motion, and deformation Nihat Özkaya ; Margareta Nordin |
| title_short | Fundamentals of biomechanics |
| title_sort | fundamentals of biomechanics equilibrium motion and deformation |
| title_sub | equilibrium, motion, and deformation |
| topic | Biomécanique Biyomekanik Biomechanics Biomechanik (DE-588)4006880-8 gnd |
| topic_facet | Biomécanique Biyomekanik Biomechanics Biomechanik Einführung |
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