An engineer's guide to MATLAB / Edward B. Magrab ; contributing authors, Shapour Azarm ... [and others]

Format:

Book

Author/Creator:

Magrab, Edward B.

Contributor:

Class of 1932 Fund.

Language:

English

Subjects (All):

MATLAB.

Engineering mathematics--Data processing.

Engineering mathematics.

Physical Description:

xiv, 694 pages : illustrations ; 24 cm

Place of Publication:

Upper Saddle River, NJ : Prentice Hall, [2000]

Summary:

The text is designed to develop a strong working knowledge of MATLAB's syntax and instruction set, and to use this capability to write efficient, compact programs to solve mechanical engineering problems of varying complexity. Emphasis is placed on MATLAB programming. Presents summaries of the important principles and formulas in the major topics in a given area. Illustrates the material with a graduated set of problems. Provides sets of exercises in each topic area. Demonstrates the fundamental importance of matrix notation and definitions.

Contents:

1.2 Ways to Use Matlab 1

1.3 Creating Variable Names 3

1.4 Management of Variables 3

1.5 Accessing Scripts and Function Files 4

1.6 Command Window Management 4

1.7 Script and Function Output to the Command Window 5

1.7.1 Online Help 6

1.8 Basic Matlab Syntax 6

1.9 Some Suggestions on How to Use Matlab 8

Appendix A Summary of Matlab Special Characters 13

2 Matrices and Matlab / Edward B. Magrab 15

2.2 Matrices and Vectors 16

2.2.1 Square Matrix 16

2.2.2 Diagonal Matrix 16

2.2.3 Column and Row Matrices (Vectors) 17

2.2.4 Transpose of a Matrix and a Vector 18

2.3 Creation of Vectors 19

2.4 Creation of Matrices 24

2.5 Dot Operations 35

2.6 Mathematical Operation with Matrices 41

2.6.1 Addition and Subtraction 41

2.6.2 Multiplication 41

2.6.3 Matrix Inverse 53

2.6.4 Determinants 54

2.6.5 Solution of a System of Equations 57

3 Data Input/Output / Edward B. Magrab 69

3.1 Strings (Literals) and Annotated Output 69

3.2 Entering Data with input 75

3.2.1 Entering a Scalar 75

3.2.2 Entering a String 76

3.2.3 Entering a Vector 76

3.2.4 Entering a Matrix 77

3.3 Input/Output Data Files 77

4 Program Flow Control / Edward B. Magrab 81

4.2 Control of Program Flow 83

4.2.1 While Loop 83

4.2.2 If Statements 84

4.2.3 For Loop 86

4.2.4 Early Termination of Either a for or while Loop 91

4.2.5 Switch Statement 91

4.3 Two Applications of Program Control Structures 93

4.3.1 Generation of a 2[superscript k] Factorial Table 93

4.3.2 Multiple Root Finding Using Interval Halving 95

5 Functions / Edward B. Magrab 101

5.1.1 Why Use Functions 102

5.1.2 Naming Functions 102

5.1.3 Length of Functions 103

5.1.4 Debugging Functions 103

5.2 The Function File 103

5.2.1 Form #1: Input Arguments Individually Identified and One Output Variable 104

5.2.2 Form #2: Input Arguments Represented as a Vector and One Output Variable 106

5.2.3 Form #3: Input Arguments Represented as a Vector and Each Output Variable Individually Identified 106

5.2.4 Two Special Cases 108

5.3 inline 108

5.4 Creating Functions That Use feval (Function of Functions) 109

5.5 Matlab Functions That Use feval 110

5.5.1 Zeros of Functions

fzero, and roots/poly 111

5.5.2 Numerical Integration

quad8, trapz, and polyarea 117

5.5.3 Local Minimum of a Function

fminbnd 120

5.5.4 Numerical Solution of Ordinary Differential Equations

ode45 122

5.5.5 Numerical Solutions of Nonlinear Equations

fsolve 131

5.6 Examples of Several Other Matlab Functions 132

5.6.1 Fitting Data With Polynomials

polyfit/polyval 132

5.6.2 Interpolation of Data

interp1 134

5.6.3 Fitting Data with spline 136

5.6.4 Digital Signal Processing

fft and ifft 138

6 2D Graphics / Edward B. Magrab 159

6.2 Basic 2D Plotting Commands 163

6.2.1 Points 163

6.2.2 Lines 163

6.2.3 Circles 166

6.2.4 Function vs. Function 166

6.2.5 Family of Curves 167

6.2.6 Multiple Functions on One Figure 170

6.3 Graph Annotation and Visual Enhancement 172

6.3.1 Axes and Curve Labels, Figure Titles, Legends, Text, and Other Attributes 172

6.3.2 Repeating Curves: Display of cot(x) From 0 [less than or equal] x [greater than or equal] m[pi] 180

6.3.3 Polar Plot: Far Field Radiation Pattern of a Sound Source 182

6.3.4 Multiple Figures: Spectral Plot of a Periodic Pulse Train and a Single Pulse 184

6.3.5 Multiple Curves: Notch Sensitivity for Steel 186

6.3.6 Multiple Curves with Different y-axes: plotyy 188

6.3.7 Reading Numerical Values from Graphs: ginput 189

6.3.8 Area Fill Using Random Numbers 191

7 3D Graphics / Edward B. Magrab 207

7.1 Lines in 3D 207

7.2 Surfaces 210

8 Design of Machine Elements / Edward B. Magrab 239

8.1 Vectors, Forces, and the Equilibrium of Rigid Bodies 239

8.2 Stresses and Deflections in Beams, Columns, and Shafts 250

8.2.1 Statically Determinate Beams 250

8.2.2 Beams with Overhangs 261

8.2.3 Buckling of Columns 263

8.2.4 Shafts Subjected to Alternating Loads 265

8.3 Stresses in Spur Gears 271

8.4 Kinematics of a Four-Bar Linkage 280

8.4.1 Position and Velocity of the Links 280

8.4.2 Synthesis of a Four-bar Linkage 285

8.5 Cam Profiles and Synthesis 287

8.5.1 Cam Displacement 287

8.5.2 Translating Flat-Face Follower 290

8.5.3 Translating Offset Roller Follower 293

8.5.4 Cam Radius of Curvature 295

8.6 Hydrodynamic Bearings 297

8.7 PDE Toolbox and the Stress Concentration Factor for Notches in a Thin Plate 301

9 Dynamics and Vibrations / Balakumar Balachandran 321

9.1 Orbital Motions 321

9.2 Single-Degree-of-Freedom Systems 324

9.2.2 Free Oscillations of Linear Systems 326

9.2.3 Free Oscillations of Nonlinear Systems 332

9.2.4 Forced Oscillations of Linear and Nonlinear Systems 338

9.2.5 Frequency Response and the Response to Step and Impulse Excitations 341

9.3 Multi-Degree-of-Freedom Systems 347

9.3.1 Free Oscillations 347

9.3.2 Forced Oscillations and The Vibration Absorber 353

9.4 Vibrations of Thin Beams 357

9.4.1 Beams with Uniform Cross Section 357

9.4.2 Beams with Variable Cross Section 366

9.4.3 Beam Carrying a Concentrated Mass 368

Appendix B Beam Functions Used in Section 9.4 381

10 Control Systems / Gregory C. Walsh 391

10.1 Introduction to Control System Design 392

10.1.1 Tools for Controller Design 392

10.1.2 Naming and File Conventions 393

10.2 Representations of Systems in Matlab 394

10.2.1 State-Space Models 395

10.2.2 Transfer-Function Representation 401

10.2.3 Discrete-Time Models 403

10.2.4 Block Diagrams 406

10.2.5 Conversion between Representations 410

10.3 Response of Systems 411

10.3.1 Simulation 411

10.3.2 Estimating Response from Poles and Zeros 415

10.4 Design Tools 423

10.4.1 Design Criteria 424

10.4.2 Design Tools 427

10.5 Design Examples 437

10.5.1 Notch Control of a Flexible Pointer 438

10.5.2 PID Control of a Magnetic Suspension System 445

10.5.3 Lead Control of an Inverted Pendulum 454

10.5.4 Control of a Magnetically Suspended Flywheel 461

11 Fluid Mechanics / James H. Duncan 479

11.1 Hydrostatics 479

11.1.1 Pressure Distribution in the Standard Atmosphere 480

11.1.2 Force on a Planar Gate 481

11.2 Internal Viscous Flow 486

11.2.1 Laminar Flow in a Horizontal Pipe with Various Cross Sections 486

11.2.2 Downward Flow in a Vertical Pipe 489

11.2.3 Three-Reservoir Problem 490

11.3 External Flow 493

11.3.1 Boundary Layer on an Infinite Plate Started Suddenly from Rest 493

11.3.2 Blasius Boundary Layer 494

11.3.3 Potential Flow 497

12 Heat Transfer / Keith E.

Herold 517

12.1 Heat Conduction 518

12.1.1 Transient Heat Conduction in a Semi-Infinite Slab with Surface Convection 518

12.1.2 Transient Heat Conduction in an Infinite Solid Cylinder with Convection 519

12.1.3 Transient One-Dimensional Conduction with a Heat Source 521

12.2 Sizing of Shell and Tube Heat Exchangers 525

12.3 Convection Heat Transfer 536

12.3.1 Thermal Boundary Layer on a Flat Plate

Similarity Solution 536

12.3.2 Natural Convection Similarity Solution 541

12.3.3 Temperature Distribution in a Printed Circuit Board 548

12.4 Radiation Heat Transfer 550

12.4.1 Radiation View Factor

Differential Area to Arbitrary Rectangle in Parallel Planes 550

12.4.2 View Factor between Two Rectangles in Parallel Planes 555

12.4.3 Enclosure Radiation with Diffuse Gray Walls 558

12.4.4 Transient Radiation Heating of a Plate in a Furnace 561

13 Optimization / Shapour Azarm 571

13.1 Definition, Formulation, and Graphical Solutions 571

13.1.2 Graphical Solution 572

13.2 Linear Programming 574

13.3 Nonlinear Programming 576

13.3.1 Unconstrained Methods 577

13.3.2 Fitting Curves to Data 578

13.3.3 Least Squares 580

13.4 Single-Objective Constrained Methods 582

13.4.1 Constrained Single-Variable Method 582

13.4.2 Constrained Multi-Variable Method 583

13.4.3 Quadratic Programming 593

13.4.4 Semi-Infinitely Constrained Method 594

13.5 Multiobjective Optimization 597

14 Engineering Statistics / Edward B. Magrab 619

14.1 Descriptive Statistical Quantities 619

14.2 Probability Distributions 626

14.2.1 Discrete Distributions 626

14.2.2 Continuous Distributions 629

14.3 Confidence Intervals 640

14.4 Hypothesis Testing 644

14.5 Linear Regression 649

14.5.1 Simple Linear Regression 649

14.5.2 Multiple Linear Regression 652

14.6 Design of Experiments 659

14.6.1 Single-Factor Experiments: Analysis of Variance 659

14.6.2 Multiple-Factor Experiments 662.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Class of 1932 Fund.

ISBN:

0130113352

OCLC:

44944556