me147_midterm1_f2011_J._C.Wang_nid298_fid424 - ME147...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ME147 Vibration and Control Systems Fall 2010 Wang 1-st Test 1. A mechanical system is shown in Fig. 1 .The disk can rotate about the point o. For analysis let the displacement variable x to be the response variable. 1-a. Derive the dynamic equation of motion for the given system. 1-b. If the damping coefficient c in the system can be tuned, then find the value c so the system has the dynamic ratio £ = 0.7. 1-c. For the system designed find the undamped, damped and resonant frequencies of this system. 1-d. If the initial conditions are given as x(0) = 0 and dx(0)7dt =0.5 m/sec, show the analytical form for x(t). * A - 4 2. Fig.2-a shows a experimental set-up for a torsional vibration study of a shaft with a disk. Note there is also a rotational damper in the system. When the disk is given an initial angular displacement of 9(0) = 8 degree ( = 0.14 rad) and d9 /dt = 0 at t = 0, and released from there, the response 9(t) of the disk is shown in Fig.2- b. The rod is 1.5 m long with a diameter d = 0.5 cm. The shear modulus of rigidity of the rod is G = 8 xlO 10 N/m 2 , the polar moment of inertia of the rod is...
View Full Document

Page1 / 9

me147_midterm1_f2011_J._C.Wang_nid298_fid424 - ME147...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online