ME429 Fall 2009 HW5 - no other information on the system...

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Assigned on 09.11.2009 Monday Due date 16.11.2009 Monday, beginning of the lecture, sharp! ME429 Fall 2009 HW5 You are expected to provide clear explanation of each step in your solution, units, well annotated scaled plots (title, axis labels, units, . .), not random hand sketches, source code attached to your solution if you use a software package. 1) Consider the structure with hysteretic damping in HW4. Mass of the structure is given as 10 kg. For the rest of the system characteristics, you can use the values in the posted solution directly. For this SDOF system, a) obtain the receptance expression, α ( ω ) and plot the magnitude of the receptance, | ( ω )|, in the following forms: b) Nyquist plot of ( ω ), c) | ( ω )| vs. ω d) log | ( ω )| vs. ω e) log | ( ω )| vs. log ( ω ) 2) Suppose you are given the plots you have obtained in the above problem directly, with
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Unformatted text preview: no other information on the system characteristics. You are asked to identify the system characteristics as described below: a) h , hysteretic damping coefficient, using the Nyquist plot only and b) ω n , natural frequency c) η , loss factor d) k , stiffness coefficient e) m , mass In your solution, state your reasonings clearly and show your steps in a detailed and neat form. Correct use of the units is extremely important in this homework. Remark: As you should have already learned, plot you were asked to generate in Question 2 of HW4 was a simply the Nyquist plot of F o ×| α ( ω )| , using the frequency ratio, ω / ω n , as the independent parameter. Using any of the plots obtained in parts b-e in the previous question...
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