Stress, Strain, and Structural Dynamics: An Interactive Handbook of Formulas, Solutions, and MATLAB Toolboxes

by Bingen Yang

Overview

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. The book differs from standard handbooks in that it 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.

Product Details

ISBN-13:	9780128241493
Publisher:	Elsevier Science
Publication date:	09/13/2022
Sold by:	Barnes & Noble
Format:	eBook
Pages:	1114
File size:	84 MB
Note:	This product may take a few minutes to download.

About the Author

Professor of Aerospace and Mechanical Engineering, University of Southern California, USA.
With 20 years of research experience, he has published approximately 150 journal and conference papers in the areas of solid mechanics, vibrations, structural dynamics, and controls. His current research interests include modelling, analysis, and deployment control of inflatable space structures, servo control of flexible positioning systems, and development of intelligent biomedical devices via smart materials and micro-electro-mechanical systems. A fellow of the American Society of Mechanical Engineers, Dr. Yang received his Ph.D. in mechanical engineering from the University of Southern California at Berkeley.

Table of Contents

	Preface	xv
	Acknowledgements	xvii
Chapter 1	Introduction	1
1.1	The Making of This Book	1
1.2	How to Use This Book	4
Part I	Strength of Materials	7
Chapter 2	Static Analysis of Euler-Bernoulli Beams	9
2.1	Getting Started	9
2.2	Beam Theory	11
2.3	Static Analysis by the Toolbox	25
2.4	Moments of Inertia of Beam Cross-Section Area	42
2.5	Quick Solution Guide	46
2.6	References	51
Chapter 3	Static Analysis of Bars, Shafts, and Strings	53
3.1	Getting Started	53
3.2	System Description	55
3.3	Static Analysis by the Toolbox	59
3.4	Stepped Bars and Shafts	67
3.5	The Distributed Transfer Function Method	74
3.6	Quick Solution Guide	78
3.7	References	83
Chapter 4	Buckling Analysis of Columns	85
4.1	Getting Started	85
4.2	Uniform Columns	87
4.3	Stepped and Nonuniform Columns	109
4.4	The Distributed Transfer Function Method	123
4.5	Quick Solution Guide	127
4.6	References	133
Chapter 5	Stress Analysis in Two-Dimensional Problems	135
5.1	Getting Started	135
5.2	Plane Stress and Strain	136
5.3	Quick Solution Guide	155
5.4	References	156
Part II	Structural Mechanics	157
Chapter 6	Static Analysis of Constrained Multispan Beams	159
6.1	Getting Started	159
6.2	System Description	161
6.3	Solution by the Toolbox	166
6.4	The Distributed Transfer Function Method	189
6.5	Quick Solution Guide	194
6.6	References	200
Chapter 7	Static Analysis of Plane Trusses	201
7.1	Getting Started	201
7.2	System Description	203
7.3	Solution by the Toolbox	205
7.4	The Stiffness Method	224
7.5	Quick Solution Guide	230
7.6	References	235
Chapter 8	Static Analysis of Plane Frames	237
8.1	Getting Started	237
8.2	System Description	240
8.3	Solution by the Toolbox	243
8.4	The Distributed Transfer Function Method	263
8.5	Quick Solution Guide	268
8.6	References	276
Part III	Dynamics and Vibrations	277
Chapter 9	Dynamics of Particles and Rigid Bodies	279
9.1	Getting Started	279
9.2	Dynamics of Particles	280
9.3	Dynamics of Rigid Bodies in Plane Motion	307
9.4	Rigid Body Dynamics in Three Dimensions	323
9.5	Quick Solution Guide	349
9.6	References	350
Chapter 10	Vibration Analysis of One-Degree-of-Freedom Systems	351
10.1	Getting Started	351
10.2	System Description	353
10.3	Time Response	357
10.4	Analytical Vibration Solutions	384
10.5	Frequency Response	394
10.6	Response to Periodic Excitation	410
10.7	Nonlinear Vibration	421
10.8	Quick Solution Guide	431
10.9	References	435
Chapter 11	Vibration and Control of Multiple-Degree-of-Freedom Systems	437
11.1	Getting Started	437
11.2	System Description	439
11.3	Dynamic Response	450
11.4	Dynamic Vibration Absorption	475
11.5	Transfer Function Formulation	487
11.6	Feedback Control	497
11.7	Quick Solution Guide	515
11.8	References	518
Part IV	Structural Dynamics	519
Chapter 12	Dynamics and Control of Euler-Bernoulli Beams	521
12.1	Getting Started	521
12.2	System Description	523
12.3	Dynamic Response	537
12.4	Feedback Control	559
12.5	Dynamics and Control of Nonuniform Beams	581
12.6	Quick Solution Guide	608
12.7	References	615
Chapter 13	Dynamic Analysis of Bars, Shafts, and Strings	617
13.1	Getting Started	617
13.2	System Description	619
13.3	Dynamic Response	630
13.4	Free Vibration of Stepped Systems	647
13.5	Quick Solution Guide	661
13.6	References	665
Chapter 14	Dynamic Analysis of Constrained, Combined, and Stepped Beams	667
14.1	Getting Started	667
14.2	Constrained Beams	670
14.3	Combined Beams	691
14.4	Stepped Beams	715
14.5	Quick Solution Guide	729
14.6	References	736
Part V	Two-Dimensional Elastic Continua	737
Chapter 15	Static Analysis of Linearly Elastic Bodies	739
15.1	Getting Started	739
15.2	Theory of Linear Elasticity	742
15.3	Elasticity Problems in Two Dimensions	759
15.4	Finite Element Method for 2-D Elasticity Problems	770
15.5	Quick Solution Guide	802
15.6	References	805
Chapter 16	Free Vibration of Membranes and Plates	807
16.1	Getting Started	807
16.2	Free Vibration of Membranes	809
16.3	Free Vibration of Rectangular Plates	823
16.4	Free Vibration of Circular Plates	839
16.5	Quick Solution Guide	848
16.6	References	851
Appendix A	Commonly Used Mathematical Formulas	853
A.1	Algebraic Formulas	853
A.2	Areas and Volumes of Common Shapes	855
A.3	Trigonometry	857
A.4	Hyperbolic Functions	860
A.5	Derivatives and Integration	860
A.6	Series Expansion	862
A.7	Analytical Geometry	864
A.8	Vector Analysis	868
A.9	Matrix Theory	872
A.10	Complex Numbers and Complex Functions	878
A.11	Laplace Transforms	879
A.12	Inverse Laplace Transform via Partial Fraction Expansion	882
Appendix B	MATLAB Basics	889
B.1	Getting Started	889
B.2	Matrix and Vector Manipulations	893
B.3	Graphics	898
B.4	M-Files	901
B.5	Control Flow	903
B.6	Solution of Algebraic and Differential Equations	907
B.7	Control System Toolbox	910
Appendix C	The Distributed Transfer Function Method	913
C.1	DTFM for One-Dimensional Continua	913
C.2	Transfer Function Synthesis of Multibody Structures	917
C.3	DTFM for Two- and Three-Dimensional Problems	919
C.4	References	920
Appendix D	Conversion of Units	923
Appendix E	Mechanical Properties of Engineering Materials	925
	Index	929

What People are Saying About This

From the Publisher

First structural mechanics reference to offer an integration of background knowledge, applicable solutions and formulas, and MatLab tools for carrying out practical solutions to common engineering problems.

Editorial Reviews

Although there are many books covering these topics, this textbook must be commended for the seamless incorporation of fundamental principles, formulas, and solutions with interactive computer programs written in widely used engineering software MATLAB. This textbook is a helpful reference resource and a useful design tool because it closes the gap between the formulation of the basic theory and the analysis of practical problems. Therefore, it is a highly attractive as well as an exceedingly useful textbook not only to engineering students but also to engineering professionals working in the field of structural analysis.” —Canadian Aeronautics and Space Journal, Sept. 2005

From the Publisher