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HW4supp - 0.05 seconds 0.06 seconds 0.07 seconds 0.08...

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CE 573: Structural Dynamics HW#4 Supplemental Problem Given : A response spectrum is a plot of the maximum dynamic load factor (DLF) as a function of the (nondimensional) duration of the loading. See Figures 4.4 and 4.5 in the text for examples. We wish to find the response spectrum of the triangular pulse loading shown above. Assume that the dynamic system that this loading is applied to is undamped with a mass of 1 kg and a spring stiffness of 2 4 π N/m. (Hence, the period of free vibration is T = 1 second.) Also, assume that the forcing function has a maximum value of 2 4 π N. Required : a) Obtain a plot of the response spectrum for this loading as follows: 1) Using any appropriate numerical method, obtain plots of the response of the dynamic system to
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Unformatted text preview: : 0.05 seconds, 0.06 seconds, 0.07 seconds, 0.08 seconds, 0.09 seconds, 0.10 seconds, 0.15 seconds, and 0.20 seconds. (You do d t not need to turn in printouts of the actual calculations – just the plots.) 2) For each value of , determine the maximum value of the response and identify this value on your plots. d t 3) Plot the maximum response values versus . (You may wish to plot them as shown in Figures 4.4 and 4.5.) d t b) Compare the values you obtained for your response spectrum with the values of the spectrum shown in Figure 4.5 (for a different type of triangular loading). What can you say about the influence of the shape of the pulse on the response spectrum values for these two cases?...
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