ME 3504_HW_no_7_2008

ME 3504_HW_no_7_2008 - What assumptions must be made to...

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ME 3504 HW 7 Kirk 3 rd ed. In [ ] HW from current syllabus for Chapter 3 concerning Convolution Integral: See latest posted syllabus on course web page for due date. Prob 3.5 [3.5] Be able to work, this one will not be turned in for grade. Prob 3.6 [3.6] With problem as stated on page 233 [2.56]. Use properties on page 35 [41] for Al. a) First consider the force as an impulse at t = 0, and solve for x(t) b) Next, consider the input as a truncated step input. Using DuHamel’s Integral solve for the response from time zero to a time of 4 natural frequency periods . Take damping = zero for this calculation, to make things easier. In Matlab, over plot the results for a) and b) and discuss what you see in your solution. Prob 3.8 [3.8] Discuss by listing the steps needed to solve this problem, as stated.
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Unformatted text preview: What assumptions must be made to have a simple solution? Prob 3.14 [3.18] With problem as stated on page 235 [260]. Zero damping case. a) Solve by convolution integral for a solution before or equal to t1 and then for time greater than t1. Assume initial conditions are zero. Get the equation in terms of symbols, not actual values of parameters. b) Write a Matlab m-file to compute and plot the response versus time for the mass. Consider 4 cases and over plot the results on one figure. A legend will be required here also for clarity. Use the values of t1 equal to 0.1, 1.0, 2.0 and 4.0 seconds and plot the response from time zero to a time of 4 natural frequency periods. c) Discuss what you find. R. Gordon Kirk...
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