Mechanical Engineering The third edition of Measurement and Data Analysis for Engineering and Science provides an up-to-date approach to presenting the methods of experimentation in science and engineering. Widely adopted by colleges and universities within the U.S. and abroad, this edition has been developed as a modular work to make it more adaptable to different approaches from various schools. This text details current methods and highlights the six fundamental tools required for implementation: planning an experiment, identifying measurement system components, assessing measurement system component performance, setting signal sampling conditions, analyzing experimental results, and reporting experimental results. What’s New in the Third Edition This latest edition includes a new chapter order that presents a logical sequence of topics in experimentation, from the planning of an experiment to the reporting of the experimental results. It adds a new chapter on sensors and transducers that describes approximately 50 different sensors commonly used in engineering, presents uncertainty analysis in two separate chapters, and provides a problem topic summary in each chapter. New topics include smart measurement systems, focusing on the Arduino® microcontroller and its use in the wireless transmission of data, and MATLAB® and Simulink® programming for microcontrollers. Further topic additions are on the rejection of data outliers, light radiation, calibrations of sensors, comparison of first-order sensor responses, the voltage divider, determining an appropriate sample period, and planning a successful experiment. Measurement and Data Analysis for Engineering and Science also contains more than 100 solved example problems, over 400 homework problems, and provides over 75 MATLAB® Sidebars with accompanying MATLAB M-files, Arduino codes, and data files available for download. K20700 Measurement and Data Analysis for Engineering and Science Measurement and Data Analysis for Engineering and Science Dunn THIRD EDITION ISBN: 978-1-4665-9496-8 90000 9 781466 594968 K20700_COVER_final.indd 1 4/23/14 10:39 AM Measurement and Data Analysis for Engineering and Science THIRD EDITION Patrick F. Dunn University of Notre Dame Indiana, USA Cover The background on the cover includes photographs and figures from the author’s experimental research spanning 45 years. Included are photographs of liquid-droplet and solid-particle electrosprays and their generators, a Na-Ar magnetohydrodynamic facility, and nuclear aerosols impacted on a wire. The figures are of microparticle detachment versus time, single-electrode voltage and current versus time of a spinal motor neuron, and microparticle adhesion analysis. This research was conducted at Purdue University, Duke University, Argonne National Laboratory, and the University of Notre Dame. The collage format of the cover was developed by the author and designed by Joanne D. Birdsell, Director of Communications and Marketing, Dean’s Office - College of Engineering, University of Notre Dame. MATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This book’s use or discussion of MATLAB® software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® software. CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2015 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20140407 International Standard Book Number-13: 978-1-4665-9503-3 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. 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Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents 1 Fundamentals of Experimentation 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Experiments 2.1 Chapter Overview . . . . . . . . . . 2.2 Experimental Approach . . . . . . . 2.3 Role of Experiments . . . . . . . . . 2.4 The Experiment . . . . . . . . . . . 2.5 Classification of Experiments . . . . 2.6 Plan for Successful Experimentation 2.7 Hypothesis Testing* . . . . . . . . . 2.8 Design of Experiments* . . . . . . . 2.9 Factorial Design* . . . . . . . . . . 2.10 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 3 Fundamental Electronics 3.1 Chapter Overview . . . . . . . . 3.2 Concepts and Definitions . . . . 3.2.1 Charge . . . . . . . . . . 3.2.2 Current . . . . . . . . . . 3.2.3 Force . . . . . . . . . . . 3.2.4 Field . . . . . . . . . . . . 3.2.5 Potential . . . . . . . . . 3.2.6 Resistance and Resistivity 3.2.7 Power . . . . . . . . . . . 3.2.8 Capacitance . . . . . . . . 3.2.9 Inductance . . . . . . . . 3.3 Circuit Elements . . . . . . . . . 3.3.1 Resistor . . . . . . . . . . 3.3.2 Capacitor . . . . . . . . . 3.3.3 Inductor . . . . . . . . . . 3.3.4 Transistor . . . . . . . . . 3.3.5 Voltage Source . . . . . . 3.3.6 Current Source . . . . . . 3.4 RLC Combinations . . . . . . . 1 1 5 5 6 7 9 12 13 14 18 20 24 27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 30 30 30 31 33 33 33 33 34 34 35 35 36 36 36 37 38 38 39 v vi 3.5 Elementary DC Circuit Analysis . . . . . 3.5.1 Voltage Divider . . . . . . . . . . . 3.5.2 Electric Motor with Battery . . . . 3.5.3 Wheatstone Bridge . . . . . . . . . 3.6 Elementary AC Circuit Analysis . . . . . 3.7 Equivalent Circuits* . . . . . . . . . . . . 3.8 Meters* . . . . . . . . . . . . . . . . . . . 3.9 Impedance Matching and Loading Error* 3.10 Electrical Noise* . . . . . . . . . . . . . . 3.11 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 4 Measurement Systems: Sensors 4.1 Chapter Overview . . . . . . . 4.2 Measurement System Overview 4.3 Sensor Domains . . . . . . . . 4.4 Sensor Characteristics . . . . . 4.5 Physical Principles of Sensors . 4.6 Electric . . . . . . . . . . . . . 4.6.1 Resistive . . . . . . . . . 4.6.2 Capacitive . . . . . . . . 4.6.3 Inductive . . . . . . . . 4.7 Piezoelectric . . . . . . . . . . 4.8 Fluid Mechanic . . . . . . . . 4.9 Optic . . . . . . . . . . . . . . 4.10 Photoelastic . . . . . . . . . . 4.11 Thermoelectric . . . . . . . . . 4.12 Electrochemical . . . . . . . . 4.13 Sensor Scaling* . . . . . . . . 4.14 Problems . . . . . . . . . . . . 42 42 43 45 48 51 54 55 58 60 71 and Transducers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 5 Measurement Systems: Other Components 5.1 Chapter Overview . . . . . . . . . . . . . . . . . . . . . . 5.2 Signal Conditioning, Processing, and Recording . . . . . 5.3 Amplifiers . . . . . . . . . . . . . . . . . . . . . . . . . . 5.4 Filters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5.5 Analog-to-Digital Converters . . . . . . . . . . . . . . . . 5.6 Smart Measurement Systems . . . . . . . . . . . . . . . . 5.6.1 Sensors and Microcontroller Platforms . . . . . . . 5.6.2 Arduino Microcontrollers . . . . . . . . . . . . . . 5.6.3 Wireless Transmission of Data . . . . . . . . . . . 5.6.4 Using the MATLAB Programming Environment . 5.6.5 Examples of Arduino Programming using Simulink 73 74 74 76 78 80 83 83 94 99 102 106 111 127 129 131 135 139 143 . . . . . . . . . . . . . . . . . . . . . . 145 145 146 146 152 158 164 166 166 168 172 173 vii 5.7 5.8 Other Example Measurement Systems . . . . . . . . . . . . . Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 178 186 195 6 Measurement Systems: Calibration and Response 6.1 Chapter Overview . . . . . . . . . . . . . . . . . . . 6.2 Static Response Characterization by Calibration . . 6.3 Dynamic Response Characterization . . . . . . . . . 6.4 Zero-Order System Dynamic Response . . . . . . . 6.5 First-Order System Dynamic Response . . . . . . . 6.5.1 Response to Step-Input Forcing . . . . . . . . 6.5.2 Response to Sinusoidal-Input Forcing . . . . 6.6 Second-Order System Dynamic Response . . . . . . 6.6.1 Response to Step-Input Forcing . . . . . . . . 6.6.2 Response to Sinusoidal-Input Forcing . . . . 6.7 Measurement System Dynamic Response . . . . . . 6.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 197 198 203 205 206 207 210 218 220 224 225 228 Bibliography 235 7 Measurement Systems: Design-Stage Uncertainty 7.1 Chapter Overview . . . . . . . . . . . . . . . . . . 7.2 Design-Stage Uncertainty Analysis . . . . . . . . . 7.3 Design-Stage Uncertainty Estimate of a Measurand 7.4 Design-Stage Uncertainty Estimate of a Result . . 7.5 Problems . . . . . . . . . . . . . . . . . . . . . . . 237 237 238 238 244 251 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 8 Signal Characteristics 8.1 Chapter Overview . . . . . . 8.2 Signal Classification . . . . . 8.3 Signal Variables . . . . . . . 8.4 Signal Statistical Parameters 8.5 Problems . . . . . . . . . . . 257 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 9 The 9.1 9.2 9.3 9.4 9.5 9.6 Fourier Transform Chapter Overview . . . . . . . . . Fourier Series of a Periodic Signal Complex Numbers and Waves . . Exponential Fourier Series . . . . Spectral Representations . . . . . Continuous Fourier Transform . . 259 259 260 263 267 272 275 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277 277 277 285 287 289 291 viii 9.7 9.8 9.9 9.10 Continuous Fourier Transform Discrete Fourier Transform . Fast Fourier Transform . . . Problems . . . . . . . . . . . Properties* . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 10 Digital Signal Analysis 10.1 Chapter Overview . . . . . . 10.2 Digital Sampling . . . . . . . 10.3 Digital Sampling Errors . . . 10.3.1 Aliasing . . . . . . . . 10.3.2 Amplitude Ambiguity 10.4 Windowing* . . . . . . . . . 10.5 Determining a Sample Period 10.6 Problems . . . . . . . . . . . 294 295 298 302 305 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 11 Probability 11.1 Chapter Overview . . . . . . . . . . . 11.2 Relation to Measurements . . . . . . 11.3 Basic Probability Concepts . . . . . . 11.3.1 Union and Intersection of Sets 11.3.2 Conditional Probability . . . . 11.4 Sample versus Population . . . . . . . 11.5 Plotting Statistical Information . . . 11.6 Probability Density Function . . . . . 11.7 Various Probability Density Functions 11.7.1 Binomial Distribution . . . . . 11.7.2 Poisson Distribution . . . . . . 11.8 Central Moments . . . . . . . . . . . 11.9 Probability Distribution Function . . 11.10 Problems . . . . . . . . . . . . . . . . 307 307 308 309 310 314 324 328 333 337 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 12 Statistics 12.1 Chapter Overview . . . . . . . . . . . . . . . 12.2 Normal Distribution . . . . . . . . . . . . . . 12.3 Normalized Variables . . . . . . . . . . . . . 12.4 Student’s t Distribution . . . . . . . . . . . . 12.5 Rejection of Data . . . . . . . . . . . . . . . 12.5.1 Single-Variable Outlier Determination 12.5.2 Paired-Variable Outlier Determination 12.6 Standard Deviation of the Means . . . . . . 339 340 340 341 341 343 347 348 357 362 364 365 367 371 373 379 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381 381 382 385 390 397 398 399 401 ix 12.7 Chi-Square Distribution . . . . . . . . . . . . . . . . . . 12.7.1 Estimating the True Variance . . . . . . . . . . . 12.7.2 Establishing a Rejection Criterion . . . . . . . . 12.7.3 Comparing Observed and Expected Distributions 12.8 Pooling Samples* . . . . . . . . . . . . . . . . . . . . . 12.9 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 423 13 Uncertainty Analysis 13.1 Chapter Overview . . . . . . . . . . . . . . . . . . . . . 13.2 Modeling and Experimental Uncertainties . . . . . . . . 13.3 Probabilistic Basis of Uncertainty . . . . . . . . . . . . 13.4 Identifying Sources of Error . . . . . . . . . . . . . . . . 13.5 Systematic and Random Errors . . . . . . . . . . . . . 13.6 Quantifying Systematic and Random Errors . . . . . . 13.7 Measurement Uncertainty Analysis . . . . . . . . . . . 13.8 Uncertainty Analysis of a Multiple-Measurement Result 13.9 Uncertainty Analyses for Other Measurement Situations 13.10 Uncertainty Analysis Summary . . . . . . . . . . . . . 13.11 Finite-Difference Uncertainties* . . . . . . . . . . . . . 13.11.1 Derivative Approximation* . . . . . . . . . . . . 13.11.2 Integral Approximation* . . . . . . . . . . . . . 13.11.3 Uncertainty Estimate Approximation* . . . . . 13.12 Uncertainty Based upon Interval Statistics* . . . . . . 13.13 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 14 Regression and Correlation 14.1 Chapter Overview . . . . . . . . . 14.2 Least-Squares Approach . . . . . . 14.3 Least-Squares Regression Analysis 14.4 Linear Analysis . . . . . . . . . . 14.5 Higher-Order Analysis* . . . . . . 14.6 Multi-Variable Linear Analysis* . 14.7 Determining the Appropriate Fit . 14.8 Regression Confidence Intervals . 14.9 Regression Parameters . . . . . . 14.10 Linear Correlation Analysis . . . 14.11 Signal Correlations in Time* . . . 14.11.1 Autocorrelation* . . . . . . 14.11.2 Cross-Correlation* . . . . . 14.12 Problems . . . . . . . . . . . . . . Bibliography 404 408 409 410 412 415 425 426 426 429 431 432 434 436 438 443 447 450 450 453 457 459 462 473 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 475 476 476 477 479 483 487 489 495 502 506 513 513 516 522 527 x 15 Units and Significant Figures 15.1 Chapter Overview . . . . . . . . . . . . . . . 15.2 English and Metric Systems . . . . . . . . . 15.3 Systems of Units . . . . . . . . . . . . . . . . 15.4 SI Standards . . . . . . . . . . . . . . . . . . 15.5 Technical English and SI Conversion Factors 15.5.1 Length . . . . . . . . . . . . . . . . . . 15.5.2 Area and Volume . . . . . . . . . . . . 15.5.3 Density . . . . . . . . . . . . . . . . . 15.5.4 Mass and Weight . . . . . . . . . . . . 15.5.5 Force . . . . . . . . . . . . . . . . . . 15.5.6 Work and Energy . . . . . . . . . . . . 15.5.7 Power . . . . . . . . . . . . . . . . . . 15.5.8 Light Radiation . . . . . . . . . . . . . 15.5.9 Temperature . . . . . . . . . . . . . . 15.5.10 Other Properties . . . . . . . . . . . . 15.6 Prefixes . . . . . . . . . . . . . . . . . . . . . 15.7 Significant Figures . . . . . . . . . . . . . . . 15.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bibliography 16 Technical Communication 16.1 Chapter Overview . . . . . . . . . . . 16.2 Guidelines for Writing . . . . . . . . . 16.2.1 Writing in General . . . . . . . 16.2.2 Writing Technical Memoranda 16.2.3 Number and Unit Formats . . 16.2.4 Graphical Presentation . . . . 16.3 Technical Memo . . . . . . . . . . . . 16.4 Technical Report . . . . . . . . . . . . 16.5 Oral Technical Presentation . . . . . 16.6 Problems . . . . . . . . . . . . . . . . 529 530 530 532 537 539 539 540 540 540 542 543 543 543 546 547 549 550 554 559 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 561 561 562 562 563 565 566 573 574 576 579 Bibliography 581 A Glossary 583 B Symbols 597 C Review Problem Answers 607 Index 609 Preface This text covers the fundamental tools of experimentation that are currently used by both engineers and scientists. These fundamentals relate to planning an experiment, identifying measurement system components, assessing measurement system component performance, setting signal sampling conditions, analyzing experimental results, and reporting experimental results. Historical perspectives also are provided. This is the third edition of Measurement and Data Analysis for Engineering and Science. The first edition was published in 2005 by McGrawHill. Since then, the text has been adopted by more and more universities and colleges within the U.S. and abroad. New features include the following: • A new chapter order reflects a logical sequence of topics in experimentation, from the planning of an experiment to the reporting of the experimental results. This has been found to be the most effective approach to learn the subject matter. • Sections that typically are not covered in an introductory undergraduate course on experimentation are denoted by asterisks. The text including all sections can be used in an upper-level undergraduate or introductory graduate course on experimentation. • A new chapter (Chapter 4) on sensors and transducers has been added. This chapter follows the unique approach of presenting sensors according to their physical basis, starting from their fundamental principles and leading to their input/output equations. Approximately 50 different sensors commonly used in engineering are described. • New topics have been added on (a) smart measurement systems, including the Arduinor microcontroller and its use in the wireless transmission of data, (b) MATLAB Simulinkr programming for microcontrollers, (c) the rejection of data outliers, (d) light radiation, (e) calibrations of sensors, (f) the comparison of several first-order sensor responses, (g) the voltage divider, (h) how to determine an appropriate sample period, and (i) a plan for a successful experiment. • Uncertainty analysis is presented in two separate chapters (Chapters 7 and 13). Chapter 7 covers basic uncertainty analysis as applied to the design of an experiment. The more extensive uncertainty analysis that has been adopted internationally is given in Chapter 13. xi xii • More new problems have been added. There are now more than 100 solved example problems presented in the text and more than 400 homework problems. The latter problems are presented as either shortanswer review problems or more-extended homework problems. A Problem Topic Summary is included in each chapter immediately before chapter review and homework problems to reinforce a particular subject. • Over seventy-five MATLABr Sidebars have been included. These demonstrate the use of MATLAB in the analysis of experimental data and the presentation of experimental results. MATLAB Simulinkr is used to illustrate how construct Arduinor codes. Accompanying MATLAB M-files, Arduino codes, and data files are provided on the text website for download. • The text is complemented by an extensive text website. Second-edition chapter sections and appendices not in the third edition, codes, files, and much more are available at the site. Instructors who adopt this text for their course can receive the problem solutions manual, a laboratory exercise solution manual, and recent slide presentations from Notre Dame’s course in Measurement and Data Analysis by contacting the publisher. Since the second edition, contributions were made by several Notre Dame engineering students, primarily Brian Quinn, Adam Smith, and Jonathan MacArt, by my most recent senior graduate teaching assistants, Chris Kelley and Patrick Bowles, and by my colleagues Professor David Go, Professor Mihir Sen, and Dr. Edmundo Corona. Greg Brownell designed and built almost all of the electronics used in the laboratory exercises. John Ott, Kevin Peters, and Leon Hluchota gladly assisted when needed. Professor Scott Sanders (University of Wisconsin - Madison) and Professor Milivoje Kostic (Northern Illinois University) provided valuable comments. Shashi Kumar gave superb LATEX assistance whenever needed. Jonathan Plant, my editor for all three editions, always encouraged and supported me. Most importantly, each and every member of my family always has been there to support me along the way. This extends from my wife, through my children, to my grandsons. Gwynn, our Welsh springer spaniel, also is included. She never left my side during writing episodes, resting faithfully on the study floor next to my desk. All are happy to see the third edition completed! Patrick F. Dunn, University of Notre Dame Author Text Web Site: www.nd.edu/∼pdunn/www.text/measurements.html Publisher Text Web Site: www.crcpress.com/product/isbn/9781466594968 Written while at the University of Notre Dame, Notre Dame, Indiana, the University of Notre Dame London Centre, London, England, and Delft University of Technology, Delft, The Netherlands. xiii For product information about MATLAB and Simulink, contact: The MathWorks, Inc. 3 Apple Hill Drive Matick, MA 01760-2098 USA Tel: 508-647-7000 Fax: 508-647-7001 E-mail: info@mathworks.com Web: www.mathworks.com Arduino is an open-source electronics prototyping platform based on flexible, easy-to-use hardware and software. It’s intended for artists, designers, hobbyists and anyone interested in creating interactive objects or environments. For product information see: Web: http://arduino.cc/ Author Patrick F. Dunn, Ph.D., P.E., is a professor of aerospace and mechanical engineering at the University of Notre Dame, where he has been a faculty member since 1985. Prior to 1985, he was a mechanical engineer at Argonne National Laboratory from 1976 to 1985 and a postdoctoral fellow at Duke University from 1974 to 1976. He earned his B.S., M.S., and Ph.D. degrees in engineering from Purdue University (1970, 1971, and 1974). He graduated from Abbot Pennings High School in 1966. Professor Dunn is the author of over 160 scientific journal and refereed symposia publications, mostly involving experimentation, and a professional engineer in Indiana and Illinois. He is a Fellow of the American Society of Mechanical Engineers and an Associate Fellow of the American Institute of Aeronautics and Astronautics. He is the recipient of departmental, college, and university teaching awards. Professor Dunn’s scientific expertise is in fluid mechanics and microparticle behavior in flows. He is an experimentalist with over 45 years of laboratory experience. He is the author of the textbooks Measurement and Data Analysis for Engineering and Science (first edition by McGrawHill, 2005; second edition by Taylor & Francis / CRC Press, 2010; this third edition by Taylor & Francis / CRC Press), Fundamentals of Sensors for Engineering and Science (first edition by Taylor & Francis / CRC Press, 2011) and Uncertainty Analysis for Forensic Science with R.M. Brach (first and second editions by Lawyers & Judges Publishing Company, 2004 and 2009). xv 1 Fundamentals of Experimentation CONTENTS 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 ... the ultimate arbiter of truth is experiment, not the comfort one derives from a priori beliefs, nor the beauty or elegance one ascribes to one’s theoretical models. R Lawrence M. Krauss. 2012. A Universe from Nothing. New York: Free Press. Measure what can be measured and make measurable what cannot be measured. R Galileo Galilei, c.1600. Chance favours only the prepared mind. Louis Pasteur, 1879. 1.1 Introduction This is a text about the fundamentals of experimentation and its current methods. It progressively presents the phases of the process of experimentation. These six phases, from planning an experiment to reporting experimental results, are shown in Figure 1.1. The phases, along with associated practical questions that are answered in this text, are as follows: 1 2 Measurement and Data Analysis for Engineering and Science Planning an Experiment Identifying Measurement System Components Assessing Measurement System Performance Setting Signal Sampling Conditions Analyzing Experimental Results Reporting Experimental Results FIGURE 1.1 The phases of experimentation. 1. Planning an Experiment (Chapter 2): • What is the role of experimentation in science and engineering? • What exactly defines an experiment? • How are experiments classified? • What approach should be taken in an experiment? • What methods can be used to efficiently plan and conduct an experiment? 2. Identifying Measurement System Components (Chapters 3, 4, and 5): • What basic elements comprise a measurement system? • What elementary electronics are used in measurement systems? • How can the physical variables of interest be sensed? • What electronic conditioning of the sensed signal is required? • What specific components are needed for a system? • What are some examples of current measurement systems? Fundamentals of Experimentation 3 3. Assessing Measurement System Performance (Chapters 6 and 7): • How is the measurement system output related to the input physical stimulus? • How are measurement system components calibrated? • What characterizes the static and dynamic responses of the components? • What uncertainties arise using measurement system components? 4. Setting Signal Sampling Conditions (Chapters 8, 9, and 10): • How are signals classified? • How does their classification affect measurement conditions? • How much data should be acquired? • What is the required sampling rate? • How do sampling conditions affect the fidelity of the results? 5. Analyzing Experimental Results (Chapters 11, 12, 13, and 14): • What analytical techniques are used to express experimental results? • What statistics are required? • What statistical confidence is associated with the data? • How are the data correlated? • How do they compare with theory and/or other experiments? • What are the overall uncertainties in the results? • When is it appropriate to reject some data? 6. Reporting Experimental Results (Chapters 15 and 16): • What are the proper number, unit, and uncertainty expressions? • What are the appropriate formats for the written document? • What elements are needed to communicate effectively in writing? • What elements are needed to communicate effectively in an oral presentation? References 2 Chapter 2: Experiments [1] Park, R.L. 2000. Voodoo Science: The Road from Foolishness to Fraud. New York: Oxford University Press. [2] Coleman, H.W. and W. G. Steele. 1999. Experimentation and Uncertainty Analysis for Engineers. 2nd ed. New York: Wiley Interscience. [3] Gregory, A. 2001. Eureka! The Birth of Science. Duxford, Cambridge, UK: Icon Books. [4] Harre´, R. 1984. Great Scientific Experiments. New York: Oxford University Press. [5] Boorstin, D.J. 1985. The Discoverers. New York: Vintage Books. [6] Gale, G. 1979. The Theory of Science. New York: McGraw-Hill. [7] Medawar, P. 1979. Advice to a Young Scientist. New York: Harper and Row. [8] Feynman, R. 1994. The Character of Physical Law. Modern Library Edition. New York: Random House. [9] Hayter, A.J. 2002. Probability and Statistics for Engineers and Scientists. 2nd ed. Pacific Grove: Duxbury/Thomson Learning. [10] Hald, A. 1952. Statistical Theory with Engineering Applications. New York: John Wiley and Sons. [11] Fisher, R.A. 1935. The Design of Experiments. Edinburgh: Oliver and Boyd. [12] Barrentine, L.B. 1999. Introduction to Design of Experiments: A Simplified Approach. Milwaukee: ASQ Quality Press. [13] Gunst, R.F. and R.L. Mason. 1991. How to Construct Fractional Factorial Experiments. Milwaukee: ASQ Quality Press. [14] Montgomery, D.C. 2000. Design and Analysis of Experiments. 5th ed. New York: John Wiley and Sons. [15] Brach, R. M. and P. F. Dunn. 2009. Uncertainty Analysis for Forensic Science. 2nd ed. Tucson: Lawyers & Judges Publishing Company, Inc. 27 Science [16] Guttman, I., S. Wilks, and J. Hunter. 1982. Introductory Engineering Statistics. 3rd ed. New York: John Wiley and Sons. [17] Montgomery, D. C. and G.C. Runger. 1994. Applied Statistics and Probability for Engineers. New York: John Wiley and Sons. 3 Chapter 3: Fundamental Electronics [1] Fara, P. 2002. An Entertainment for Angels: Electricity in the Enlightenment. Duxford: Icon Books. [2] Horowitz, P. and W. Hill. 1989. The Art of Electronics. 2nd ed. Cambridge: Cambridge University Press. [3] Oppenheim, A.V. and A.S. Willsky. 1997. Signals and Systems. 2nd ed. New York: Prentice Hall. [4] Alciatore, D.G. and Histand, M.B. 2003. Introduction to Mechatronics and Measurement Systems. 2nd ed. New York: McGraw-Hill. [5] Dunn, P.F. and W.A. Wilson. 1977. Development of the Single Microelectrode Current and Voltage Clamp for Central Nervous System Neurons. Electroencephalography and Clinical Neurophysiology 43: 752-756. 71 4 Chapter 4: Measurement Systems: Sensors and Transducers [1] Kovacs, G.T.A. 1998. Micromachined Transducers Sourcebook. New York: McGraw-Hill. [2] Barrett, K.E., S.M. Barman, S. Boitano, and H.L. Brooks. 2010. Ganong’s Review of Medical Physiology. 23rd ed. New York: McGraw-Hill, Inc. [3] Dunn, P.F. 2011. Fundamentals of Sensors for Engineering and Science. Boca Raton: CRC Press: Taylor and Francis Group. [4] Bentley, J.P. 2005. Principles of Measurement Systems. 4th ed. New York: Pearson Prentice Hall. [5] Alciatore, D.G. and Histand, M.B. 2003. Introduction to Mechatronics and Measurement Systems. 2nd ed. New York: McGraw-Hill. [6] Lykoudis, P.S. and Dunn, P.F. 1973. Magneto-Fluid-Mechanic Heat Transfer from Hot-Film Probes. Int. J. Heat and Mass Trans.. 16, 14391452. [7] Vetelino, J. and Reghu, A. 2011. Introduction to Sensors. New York: CRC Press. [8] Kim, O.V. and Dunn, P.F. 2010. Real-Time Direct Charge Measurements of Microdroplets and Comparison with Indirect Methods. Aerosol Sci. & Tech., 44, 292-301. [9] Hsu, T-R. 2002. MEMS & Microsystems: Design and Manufacture. New York: McGraw-Hill. [10] Dunn, P.F., Brach, R.M., and Caylor, M.J. 1995. Experiments on the Low Velocity Impact of Microspheres with Planar Surfaces. Aerosol Sci. and Tech.. 23, 80-95. [11] Dunn, P.F., Thomas, F.O., Davis, M.P. and Dorofeeva, I.E. 2010. Experimental Characterization of Aviation-Fuel Cavitation. Phys. Fluids, 22, 117102-117119. [12] Incropera, F.P. and De Witt, D.P. 1985. Fundamentals of Heat and Mass Transfer. 2nd. ed. New York: John Wiley and Sons. [13] van de Hulst, H.C. 1981. Light Scattering by Small Particles. New York: Dover Publications. 143 Science [14] National Institute of Standards and Technology. http://www.nist.gov/index.html [15] Horowitz, P. and Hill, W. 1989. The Art of Electronics. 2nd ed. Cambridge: Cambridge University Press. [16] Madou, M. 1997. Fundamentals of Microfabrication. New York: CRC Press. 5 Chapter 5: Measurement Systems: Other Components [1] Horowitz, P. and W. Hill, W. 1989. The Art of Electronics. 2nd ed. Cambridge: Cambridge University Press. [2] Oppenheim, A.V. and A.S. Willsky. 1997. Signals and Systems. 2nd ed. New York: Prentice Hall. [3] Wheeler, A.J. and A.R. Ganji. 2010. Introduction to Engineering Experimentation. 3rd ed. New York: Prentice Hall. [4] Arduino. http://arduino.cc/en/Main/HomePage [5] The National Association for Amateur Radio. http://www.arrl.org/getting-licensed [6] Szarek, T.S. 2003. On The Use Of Microcontrollers For Data Acquisition In An Introductory Measurements Course. M.S. Thesis. Department of Aerospace and Mechanical Engineering. 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