ME 3504_HW_no_11_2008

ME 3504_HW_no_11_2008 - To 3504 From R G Kirk Date 2008...

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To: 3504 From: R. G. Kirk Date: 2008 Subject: ME3504 Vibrations HW no. 11 Assignment Reference: Inman 2 nd ed., Engineering Vibrations Selected Problem ( modified ), J. P. den Hartog notes on damped absorber design, class notes and discussion See latest posted syllabus on course web page for due date. 3 rd ed. In [ ] Problem 5.34 [5.34], p 424 [457}. Design an optimum tuned and damped vibration absorber per den Hartog. Assume the original system has zero damping. Use the information specified in 5.34 to determine the system original mass (15.517 kg) and stiffness. Then, use the den Hartog notes to evaluate the optimum tuning and optimum damping. Then write a Matlab m-file to calculate the damped dimensionless forced response versus excitation frequency for the pipe and also the absorber mass. Plot 3 cases of damping: the optimum, plus 80% of optimum damping and 120% of optimum damping for a frequency range of 0 to 1000 cpm. ( Use a mass ratio of mu = 0.4 please) Then, to prepare for final examination; derive the governing equations of motion for the following problems : Do not work the following for collection unless I indicate in lecture they will be collected. (Sketch; Free body diagram with all forces shown and equations indicated for forces; Newton, etc.) Example 4.7.1 Use Newton's method, not Lagrange method. 2 mass Example 4.7.3 Use reversed inertia force method, not Lagrange method.

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