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stress, strain, and structural dynamics bingen yang [pdf] MathSchool

Stress, Strain, and Structural Dynamics by Bingen Yang
(An Interactive Handbook of Formulas, Solutions, and MATLAB Toolboxes)

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Stress, Strain, and Structural Dynamics written by Bingen Yang , University of Southern California, Amsterdam. This book is intended to supply engineering professionals and students with a comprehensive and definitive reference to statics and dynamics of solids and structures. The book is for use as a resource and design tool in research and development, and for use as a study guide and learning aid in engineering education.
The book is written to meet the needs for interactive computing in technical referencing and engineering education. These needs result from the design requirements for high-accuracy and high-performance structures, machines and devices in a variety of engineering applications, and from the trend of engineering curriculum development in response to today
s environment of fast-changing technologies. Chapter 1 further explains the purpose and philosophy of this writing.
A unique feature of this book is the integration of the development of principles, formulas, and solutions with user-friendly interactive computer programs, written in the powerful and popular software MATLAB. These programs produce instant engineering solutions, which cover pages of contents contained in a conventional handbook, and beyond. Different from and complementary to general-purpose numerical codes, these programs deliver analytical results pertaining to many topics covered in the book. Furthermore, with the rich resources of MATLAB, these programs allow in-depth exploration of the physics of deformation, stress and motion by analysis, simulation, graphics, and animation.
This book contains five main parts: strength of materials, structural mechanics, dynamics and vibrations, structural dynamics, and two-dimensional elastic continua. Besides, the book presents feedback control of mechanical systems and flexible structures to a great extent. These subjects are covered in 15 chapters (Chapters 2 to 16), each being a self-contained package of subject review, fundamental theories, formulas, and a toolbox of MATLAB functions (computer programs) for numerical and analytical solutions. The MATLAB functions are stored in a CD-ROM that is attached to the book. In addition, Appendix A collects commonly used mathematical formulas for engineering analysis and Appendix B gives a tutorial on MATLAB-based computing and programming.
There are two important points regarding this book. First, the book keeps a good balance between fundamental theory and technical computation. Such a balance, in the author
s opinion, will best serve design engineers who often need a quick subject review, and instant engineering solutions at the same time. Second, the organization of the text closely follows a curriculum on solid mechanics and structural dynamics adopted by a typical engineering school. This naturally renders the book a useful study guide and learning aid for many courses.

Stress, Strain, and Structural Dynamics written by Bingen Yang cover the following topics.

  • Preface
    1. Introduction

  • Part I Strength of Materials
    2. Static Analysis of Euler-Bernoulli Beams
    3. Static Analysis of Bars, Shafts, and Strings
    4. Buckling Analysis of Columns
    5. Stress Analysis in Two-Dimensional Problems

  • Part II Structural Mechanics
    6. Static Analysis of Constrained Multispan Beams
    7. Static Analysis of Plane Trusses
    8. Static Analysis of Plane Frames

  • Part III Dynamics and Vibrations
    9. Dynamics of Particles and Rigid Bodies
    10. Vibration Analysis of One-Degree-of-Freedom Systems
    11. Vibration and Control of Multiple-Degree-of-Freedom Systems

  • Part IV Structural Dynamics
    12. Dynamics and Control of Euler-Bernoulli Beams
    13. Dynamic Analysis of Bars, Shafts, and Strings
    14. Dynamic Analysis of Constrained, Combined, and Stepped Beams

  • Part V Two-Dimensional Elastic Continua
    15 Static Analysis of Linearly Elastic Bodies
    16 Free Vibration of Membranes and Plates

  • Appendix
    A. Commonly Used Mathematical Formulas
    A.1 Algebraic Formulas
    A.2 Areas and Volumes of Common Shapes
    A.3 Trigonometry
    A.4 Hyperbolic Functions
    A.5 Derivatives and Integration
    A.6 Series Expansion
    A.7 Analytical Geometry
    A.8 Vector Analysis
    A.9 Matrix Theory
    A.10 Complex Numbers and Complex Functions
    A.11 Laplace Transforms
    A.12 Inverse Laplace Transform via Partial Fraction Expansion
    b.Matlab Basics
    B.1 Getting Started
    B.2 Matrix and Vector Manipulations
    B.3 Graphics
    B.4 M-Files
    B.5 Control Flow
    B.6 Solution of Algebraic and Differential Equations
    B.7 Control System Toolbox
    C The Distributed Transfer Function Method
    C.l DTFM for One-Dimensional Continua
    C.2 Transfer Function Synthesis of Multibody Structures
    C.3 DTFM for Two- and Three-Dimensional Problems
    C.4 References
    D. Conversion of Units
    E. Mechanical Properties of Engineering Materials

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