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# hw7 - d Evaluate the damping ratio Based on the readability...

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ME 365 HOMEWORK 7 Fall 2011 Out: October 13, 2o11 Due: October 20, 2011 Problem 1 The plot shows the response of a temperature measurement system to a sudden 5 °C change in temperature: 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 Fall 2011 Out: October 13, 2o11 Due: October 20, 2011 Problem 2 Consider the time response of an unknown system to a unit step input: 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 of error in your estimation.
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Unformatted text preview: 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 Fall 2011 Out: October 13, 2o11 Due: October 20, 2011 Problem 3: Given: Consider the frequency response plots shown below. Figures (iii) and (iv) are magnified views of Figures (i) and (ii), respectively, plotted on linear axes. To Find: (a) Determine the static sensitivity, K. (b) Determine the natural frequency of this system, ω 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 - d Evaluate the damping ratio Based on the readability...

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