Stress, Strain, and Structural Dynamics is a comprehensive and definitive reference to statics and dynamics of solids and structures, including mechanics of materials, structural mechanics, elasticity, rigid-body dynamics, vibrations, structural dynamics, and structural controls. This text integrates the development of fundamental theories, formulas and mathematical models with user-friendly interactive computer programs, written in the powerful and popular MATLAB. This unique merger of technical referencing and interactive computing allows instant solution of a variety of engineering problems, and in-depth exploration of the physics of deformation, stress and motion by analysis, simulation, graphics, and animation. This book is ideal for both professionals and students dealing with aerospace, mechanical, and civil engineering, as well as naval architecture, biomechanics, robotics, and mechtronics. For engineers and specialists, the book is a valuable resource and handy design tool in research and development. For engineering students at both undergraduate and graduate levels, the book serves as a useful study guide and powerful learning aid in many courses. And for instructors, the book offers an easy and efficient approach to curriculum development and teaching innovation. * Combines knowledge of solid mechanics--including both statics and dynamics, with relevant mathematical physics and offers a viable solution scheme. * Will help the reader better integrate and understand the physical principles of classical mechanics, the applied mathematics of solid mechanics, and computer methods. * The Matlab programs will allow professional engineers to develop a wider range of complex engineering analytical problems, using closed- solution methods to test against numerical and other open-ended methods. * Allows for solution of higher order problems at earlier engineering level than traditional textbook approaches.
Author(s): Bingen Yang
Publisher: Elsevier Academic Press
Year: 2005
Language: English
Pages: 943
Cover
......Page 1
Title
......Page 4
Copyright
......Page 5
Contents
......Page 7
Preface
......Page 15
Acknowledgements
......Page 17
1.1 The Making of this Book
......Page 18
1.2 How to Use this Book?
......Page 21
Part I - Strength of Materials
......Page 24
2.1 Getting Started
......Page 25
2.2 Beam Theory
......Page 27
2.3 Static Analysis by the Toolbox
......Page 41
2.4 Moments of Inertia of Beam Cross-Section Area
......Page 58
2.5 Quick Solution Guide
......Page 62
2.6 References
......Page 67
3.1 Getting Started
......Page 68
3.2 System Description
......Page 70
3.3 Static Analysis by the Toolbox
......Page 74
3.4 Stepped Bars and Shafts
......Page 82
3.5 The Distributed Transfer Function Method
......Page 89
3.6 Quick Solution Guide
......Page 93
3.7 References
......Page 98
4.1 Getting Started
......Page 99
4.2 Uniform Columns
......Page 101
4.3 Stepped and Nonuniform Columns
......Page 123
4.4 The Distributed Transfer Function Method
......Page 137
4.5 Quick Solution Guide
......Page 141
4.6 References......Page 147
5.1 Getting Started
......Page 148
5.2 Plane Stress and Strain
......Page 149
5.3 Quick Solution Guide......Page 168
5.4 References
......Page 169
Part II - Structural Mechanics
......Page 170
6.1 Getting Started
......Page 171
6.2 System Description
......Page 173
6.3 Solution by the Toolbox
......Page 178
6.4 The Distributed Transfer Function Method
......Page 201
6.5 Quick Solution Guide
......Page 206
6.6 References
......Page 212
7.1 Getting Started
......Page 213
7.2 System Description
......Page 215
7.3 Solution by the Toolbox
......Page 217
7.4 The Stiffness Method
......Page 236
7.5 Quick Solution Guide
......Page 242
7.6 References
......Page 247
8.1 Getting Started
......Page 248
8.2 System Description
......Page 251
8.3 Solution by the Toolbox
......Page 254
8.4 The Distributed Transfer Function Method
......Page 274
8.5 Quick Solution Guide
......Page 279
8.6 References
......Page 287
Part III - Dynamics and Vibrations
......Page 288
9.1 Getting Started......Page 289
9.2 Dynamics of Particles
......Page 290
9.3 Dynamics of Rigid Bodies in Plane Motion
......Page 317
9.4 Rigid Body Dynamics in Three Dimensions
......Page 333
9.5 Quick Solution Guide
......Page 359
9.6 References
......Page 360
10.1 Getting Started......Page 361
10.2 System Description......Page 363
10.3 Time Response......Page 367
10.4 Analytical Vibration Solutions
......Page 394
10.5 Frequency Response
......Page 404
10.6 Response to Periodic Excitation
......Page 420
10.7 Nonlinear Vibration
......Page 431
10.8 Quick Solution Guide
......Page 441
10.9 References
......Page 445
11.1 Getting Started
......Page 446
11.2 System Description
......Page 448
11.3 Dynamic Response
......Page 459
11.4 Dynamic Vibration Absorption
......Page 484
11.5 Transfer Function Formulation
......Page 496
11.6 Feedback Control
......Page 506
11.7 Quick Solution Guide
......Page 524
11.8 References
......Page 527
Part IV - Structural Dynamics
......Page 528
12.1 Getting Started
......Page 529
12.2 System Description
......Page 531
12.3 Dynamic Response
......Page 545
12.4 Feedback Control
......Page 567
12.5 Dynamics and Control of Nonuniform Beams
......Page 589
12.6 Quick Solution Guide
......Page 616
12.7 References
......Page 623
13.1 Getting Started
......Page 624
13.2 System Description
......Page 626
13.3 Dynamic Response
......Page 637
13.4 Free Vibration of Stepped Systems
......Page 654
13.5 Quick Solution Guide
......Page 668
13.6 References
......Page 672
14.1 Getting Started
......Page 673
14.2 Constrained Beams
......Page 676
14.3 Combined Beams......Page 697
14.4 Stepped Beams
......Page 721
14.5 Quick Solution Guide
......Page 735
14.6 References
......Page 742
Part V - Two-Dimensional Elastic Continua
......Page 743
15.1 Getting Started......Page 744
15.2 Theory of Linear Elasticity
......Page 747
15.3 Elasticity Problems in Two Dimensions
......Page 764
15.4 Finite Element Method for 2-D Elasticity Problems
......Page 775
15.5 Quick Solution Guide
......Page 807
15.6 References
......Page 810
16.1 Getting Started
......Page 811
16.2 Free Vibration of Membranes
......Page 813
16.3 Free Vibration of Rectangular Plates
......Page 827
16.4 Free Vibration of Circular Plates
......Page 843
16.5 Quick Solution Guide
......Page 852
16.6 References......Page 855
A1. Algebraic Formulas
......Page 856
A2. Areas and Volumes of Common Shapes
......Page 858
A3. Trigonometry......Page 860
A5. Derivatives and Integration
......Page 863
A6. Series Expansion
......Page 865
A7. Analytical Geometry
......Page 867
A8. Vector Analysis
......Page 871
A9. MAtrix Theory
......Page 875
A10. Complex Numbers and Complex Functions
......Page 881
A11. Laplace Transforms......Page 882
A12. Inverse Laplace Transform via Partial Fraction Expansion
......Page 885
B1. Getting Started
......Page 892
B2. Matrix and Vector Manipulations
......Page 896
B3. Graphics
......Page 901
B4. M-Files
......Page 904
B5. Control Flow
......Page 906
B6. Solution of Algebraic and Differential Equations
......Page 910
B7. Control System Toolbox
......Page 913
C1. DTFM for One-Dimensional Continua
......Page 916
C2. Transfer Function Synthesis of Multibody Structures
......Page 920
C3. DTFM for Two- and Three-Dimensional Problems
......Page 922
C4. References
......Page 923
Appendix D. Conversion of Units
......Page 925
Appendix E. Mechanical Properties of Engineering Materials
......Page 927
Index
......Page 930
