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Uncertainty Analysis for Engineers and Scientists: A Practical Guide [Pehme köide]

(Michigan Technological University)
  • Formaat: Paperback / softback, 370 pages, kõrgus x laius x paksus: 150x230x20 mm, kaal: 550 g, Worked examples or Exercises
  • Ilmumisaeg: 07-Jan-2021
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1108745741
  • ISBN-13: 9781108745741
  • Formaat: Paperback / softback, 370 pages, kõrgus x laius x paksus: 150x230x20 mm, kaal: 550 g, Worked examples or Exercises
  • Ilmumisaeg: 07-Jan-2021
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1108745741
  • ISBN-13: 9781108745741
Build the skills for determining appropriate error limits for quantities that matter with this essential toolkit. Understand how to handle a complete project and how uncertainty enters into various steps. Provides a systematic, worksheet-based process to determine error limits on measured quantities, and all likely sources of uncertainty are explored, measured or estimated. Features instructions on how to carry out error analysis using Excel and MATLAB®, making previously tedious calculations easy. Whether you are new to the sciences or an experienced engineer, this useful resource provides a practical approach to performing error analysis. Suitable as a text for a junior or senior level laboratory course in aerospace, chemical and mechanical engineering, and for professionals.

Arvustused

'This book would be an ideal text for an introductory uncertainty analysis course in any engineering discipline. It offers an excellent mix of theory and practice, with numerous engineering examples (using both Excel and MATLAB®) on every topic discussed. It also provides a large number of problems at the end of each chapter, something I find to be relatively uncommon among similar texts.' Jake Blanchard, University of Wisconsin, Madison 'Uncertainty Analysis for Engineers and Scientists is an excellent supplemental text for any science or engineering laboratory course. The book presents a straightforward but thorough discussion of uncertainty and includes tools - in the form of worksheets - that allow students to systematically evaluate and consider error estimates. Examples are accessible and well-chosen and range from bathroom scales and commuting times to thermocouples, multimeters, and differential pressure meters. A welcome resource for students and practitioners alike.' Susan Muller, University of California, Berkeley 'Morrison's book seems suitable for use as a required or supplementary textbook in many undergraduate STEM courses. Of possible interest is that the ebook is available through the Cambridge Core interface for unlimited use, free of digital rights management impediments Highly recommended.' J. J. Meier, Choice Magazine

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Build the skills for determining appropriate error limits for quantities that matter with this essential toolkit.
Preface vii
1 Introduction and Definitions
1(19)
1.1 Precision and Accuracy
2(1)
1.2 Significant Figures
3(2)
1.3 Error Limits
5(2)
1.4 Types of Uncertainty or Error
7(2)
1.5 Summary
9(7)
1.6 Problems
16(4)
2 Quick Start: Replicate Error Basics
20(81)
2.1 Introduction
21(8)
2.2 Data Sampling
29(17)
2.3 Replicate Error Limits
46(43)
2.4 Significant Figures on Error
89(2)
2.5 Summary
91(2)
2.6 Problems
93(8)
3 Reading Error
101(37)
3.1 Sources of Reading Error
104(13)
3.2 Standard Reading Error
117(6)
3.3 Combining Standard Errors
123(3)
3.4 Working with Reading Error
126(7)
3.5 Summary
133(1)
3.6 Problems
134(4)
4 Calibration Error
138(43)
4.1 Introduction to Calibration
142(5)
4.2 Determination of Calibration Error
147(5)
4.3 Special Considerations at Lower and Upper Performance Limits
152(3)
4.4 Working with Calibration Error
155(21)
4.5 Summary
176(1)
4.6 Problems
177(4)
5 Error Propagation
181(52)
5.1 Introduction
182(1)
5.2 How to Propagate Error
183(9)
5.3 Error Propagation Worksheet
192(5)
5.4 Working with Error Propagation
197(28)
5.5 Summary
225(1)
5.6 Problems
226(7)
6 Model Fitting
233(82)
6.1 Introduction
234(1)
6.2 Least Squares of Linear Models
235(48)
6.3 Least Squares of Polynomial Models
283(15)
6.4 Extensions of Least Squares to Other Models
298(5)
6.5 Least Squares with Physics-Based Models
303(4)
6.6 Summary
307(1)
6.7 Problems
308(7)
Appendix A Worksheets for Error Analysis 315(6)
Appendix B Significant Figures 321(4)
Appendix C Microsoft Excel Functions for Error Analysis 325(3)
Appendix D MATLAB Functions for Error Analysis 328(18)
Appendix E Statistical Topics 346(9)
Appendix F Choosing an Empirical Model 355(11)
Bibliography 366(4)
Index 370
Faith A. Morrison is Professor of Chemical Engineering at Michigan Technological University. She is the author of An Introduction to Fluid Mechanics (Cambridge, 2013). She is a fellow of the Society of Rheology, member of the Dean's Teaching Showcase (2019), and was a board member of the American Institute of Physics.