HW7-S10

# HW7-S10 - of error in your estimation d Evaluate the...

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ME 365 HOMEWORK 7 Spring 2010 Out: March 4 2010 Due: March 11 2010 1 Problem 1 The plot shows the response of a temperature measurement system subject to a sudden 5 °C change in temperature: 0 0.1 0.2 0.3 0.4 0.5 0.6 10 10.0001 10.0002 10.0003 10.0004 10.0005 10.0006 10.0007 10.0008 10.0009 10.001 Step Response Time (s) Response (V) a) Assuming that the system is 1 st order , what are the names of the two parameters that you need to know to fully characterize the system? b) Determine those two parameters using the above step response. Show your work.

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ME 365 HOMEWORK 7 Spring 2010 Out: March 4 2010 Due: March 11 2010 2 Problem 2 Consider the time response of an unknown system to a unit step input: 0 0.05 0.1 0.15 0.2 0.25 0.3 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.53 1.6 Step Response Time (sec) Amplitude a) Is this system 1 st order or 2 nd order? Explain. b) Determine the static sensitivity of this system. c) Evaluate the damped natural period and frequency. Discuss possible sources
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Unformatted text preview: of error in your estimation. d) Evaluate the damping ratio. Based on the readability of the chart, which method would you pick? Log decrement or %OS? Why? e) Evaluate the natural frequency. f) Write down the frequency response function for this system, and the corresponding differential equation. ME 365 HOMEWORK 7 Spring 2010 Out: March 4 2010 Due: March 11 2010 3 Problem 3: Consider the frequency response plots shown below. Figures (iii) and (iv) are magnified views of Figures (i) and (ii), respectively, plotted on linear axes. (a) Determine the static sensitivity, K. (b) Determine the natural frequency of this system, n . (c) Use all three methods described in the notes to determine the system’s damping ratio. Compare your results....
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HW7-S10 - of error in your estimation d Evaluate the...

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