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Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

Dynamic Systems and Measurements

ME 34000 / 3 Cr. (2 Class, 2 Lab)

Modeling and formulation of differential equations for dynamic systems, including mechanical vibratory systems, thermal systems, fluid systems, electrical systems, and instrumentation systems. Analysis of dynamic systems and measuring devices including transient response and frequency response techniques, mechanical systems, transducers, and operational amplifiers. Consideration of readout devices and their responses to constant, transient, and steady-state sinusoidal phenomena. Calibration and data analysis techniques are introduced. Both analog and digital computation are included.

Textbooks

Richard S. Figliola, Donald E. Beasley, Theory and Design for Mechanical Measurements, 5th Edition, John Wiley and Sons, 2010.

Software

Computer usage:

LabVIEW is used extensively in this course.  In addition, MATLAB / SIMULINK will be used for modeling and system identification purposes. All software packages are used by the instructor or TA to demonstrate solutions and results as topics are presented. MATLAB and LabVIEW are used by the students in solving homework problems and in developing analysis and design information for their laboratory reports.  In addition, the students will use real experimental data to build and validate their models.

Goals

Students will learn the fundamentals of instrumentation, measurements, and interpretation of experimental data – such as temperature, stress, strain, vibration, voltage, and noise.  Simulation, analysis, and design of dynamic systems are introduced.  The identification of mechanical systems will also be introduced.  MATLAB and LabVIEW will be used extensively throughout the course. 

Outcomes

After completion of this course, the students should be able to:

1) Apply basic knowledge of measurement systems towards measurements, including error analysis, interpretation, experimental uncertainty, calibration, etc. [a]
2) Apply basic concepts of measurement systems with electrical signals, including signal conditioners (gain, attenuation), indicating and recording devices. [a]
3) Apply probability and statistics to interpret experimental data, which has some variability and randomness. [a]
4) Apply basic concepts of frequency response, gain, damping in measurement systems. [b, k]
5) Analyze and select digital instrumentation systems for measurement. [a]
6) Apply basic concepts in measurement of strain and stress, pressure, temperature, fluid velocity, and fluid flow to solution of given problems. [a, e]
7) Solve engineering problems presented in class textbook, homework and lab; orally communicate some results in class discussions. [a, g]
8) Analyze dynamic systems and measuring devices including transient response and frequency response [a]
9) Apply basic mathematical concept to identify first and second order dynamic systems. [a]

Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.

Topics
  1. Introduction to Measurements                                
  2.  Measurement System Behavior                              
  3.  Analog Measurement Devices                                   
  4.  Digital Measurement Devices                                   
  5.  Dynamical Systems and System Identification           
  6. Measurement of Stress and Strain                               
  7. Measurement of Pressure and Temperature              
  8. Measurement of Flow and Velocity (Fluid)             
  9. Probability and Statistics                                            
  10. Uncertainty Analysis                                                 
  11. Introduction to Spectral Analysis
Laboratory

Laboratory topics:

1.         LabVIEW Programming: Introduction to LabVIEW
2.         LabVIEW Programming: Modular Programming
3.         LabVIEW Programming: Repetitions and Loops
4.         LabVIEW Programming: Arrays
5.         LabVIEW Programming: Clusters
6.         LabVIEW Programming: Plotting Data
7.         Data Analysis and Simulation of Dynamic Response of Linear Systems
8.         Measurement of natural frequencies and mode shapes of a cantilever beam
9.         Measurement of transverse characteristics (natural frequencies and damping) of a beam fixed at both ends
10.       System identification of a mechanical mass – spring – damper system
11.       Analog measurement of stress and strain
12.       Temperature measurement using thermocouples via LabView
13.       Measurement of stress and strain using LabView
14.       Pressure measurement using thermocouples via LabView