Matrix Analysis of Structural Dynamics_ Applications and Earthquake Engineering “Civil and Environmental Engineering” 1st Edition by Franklin Y. Cheng pdf download.
Matrix Analysis of Structural Dynamics_ Applications and Earthquake Engineering pdf.
This book covers several related topics: the displacement method with matrix formulation, theory and analysis of structural dynamics as well as application to earthquake engineering, and seismic building codes. As computer technology rapidly advances and buildings become taller and more slender, dynamic behavior of such structures must be studied using state-of-the-art methodology with matrix formulation. Analytical accuracy and computational efficiency of dynamic structural problems depends on several key features: structural modeling, material property idealization, loading assumptions, and numerical techniques.
The features of this book can be summarized as follows. Three structural models are studied: lumped mass, consistent mass, and distributed mass. Material properties are presented in two categories: damping and hysteretic behavior. Damping is formulated in two types: proportional and nonproportional. Hysteretic behavior is studied with eight models suited to different construction materials such as steel and reinforced concrete. Loading comprises a range of time-dependent excitations, for example, steady-state vibration, impact loading, free and transient vibration, and earthquake ground motion. Numerical techniques emphasize two areas: eigensolution and numerical integration. The former covers fundamental as well as advanced techniques for five predominant methods; the latter covers five well-known integration techniques. Structural dynamics theory is used to substantiate seismic building-code provisions. Representative codes are discussed to illustrate their similarities and differences. This book is intended for graduate students as well as advanced senior undergraduates in civil, mechanical, and aeronautical engineering. It is also intended as a reference tool for practitioners. In the preparation of this text, six organizing principles served as guidelines.
1. The book functions as a self-study unit. Its technical detail requires the reader to be knowledgeable only in strength of materials, fundamental static structural analysis, calculus, and linear algebra. Essential information on algebraic matrix formulation, ordinary and partial differential equations, vector analysis, and complex variables is reviewed where necessary.
2. Step-by-step numerical examples are provided. This serves to illustrate mathematical formulations and to interpret physical representations, enabling the reader to understand the formulae vis-a-vis their associated engineering applications.
3. Each chapter discusses a specific topic. There is a progression in every chapter from fundamental to more advanced levels; for instance, eigensolution methods are grouped accordingly in Chapter 2, numerical integration techniques in Chapter 7, and hysteresis models in Chapter 9. This approach may help the reader to follow the subject matter and the instructor to select material for classroom presentation.
4. Topic areas are covered comprehensively. For example, three structural models are studied for uncoupling and coupling vibrations with longitudinal, flexural, and torsional motions. Flexural vibration extends from bending deformation to bending and shear deformation, rotatory inertia, P-A effect, and elastic media support. The reader can attain greater understanding from this integrative approach.
5. 3-D building structures are treated in one chapter. Comprehensive formulations are developed for member, joint, and global coordinate transformation for general 3-D structures. Building systems in particular are extensively analyzed with consideration of floor diaphragms, bracings, beams, columns, shear walls, and the rigid zone at connecting joints. These elements are not collectively covered in a structural dynamics text or a static structural analysis text; this book can supplement the latter.
6. Examples are designed to help the reader grasp the concepts presented. Contained in the book are 114 examples and a set of problems with solutions for each chapter. A detailed solutions manual is available. Computer programs are included that further clarify the numerical procedures presented in the text.
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