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hwk09_w_cover

# hwk09_w_cover - ME563 Fall 2011 Purdue University West...

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ME563 – Fall 2011 Purdue University West Lafayette, IN Homework Set No. 9 Assignment date : Friday, October 28 Due date : Friday, November 4 Please attach this cover sheet to your completed homework assignment. Name PUID Problem 9.1 Problem 9.2 Problem 9.3 TOTAL

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Homework 9.1 Consider the EOM for a forced, damped single-DOF system: ¨ x + 2 ζω n ˙ x + ω 2 n x = f ( t ) m Starting with the general form of the convolution integral solution derived in lecture (see equations (IV.12) and (IV.13) in Section IV.3 of the lecture notes), derive the convolution integral for an underdamped (0 < ζ < 1) system. Note that the final form of the underdamped convolution integral solution is found on page IV-36 of the lecture notes; you can use this to check your answer).
Homework 9.2 Consider the EOM for a forced, undamped single-DOF system: ¨ x + ω 2 n x = f ( t ) m In this problem, you are asked to use the convolution integral approach to produce a qualitative sketch for the response of this system with the excitation shown below and zero initial conditions

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hwk09_w_cover - ME563 Fall 2011 Purdue University West...

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