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EM406
Examination II
October 12, 2004
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EM406 Examination II - Mechanical Engineering Problems, Exams of Engineering
The solutions manual for examination ii of the em406 mechanical engineering course. It includes three problems related to vibration analysis, each with sub-parts requiring calculations and design. The problems cover topics such as unbalanced motors, second order systems, and fourier series.
Typology: Exams
Pre 2010
1 / 6
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Name ___________________________
EM
Examination II
October 12, 2004
Problem Score
Total /
Show all work for credit
AND
Turn in your signed help sheet
AND
Stay in your seat until the end of class
Name 40 pts EM406 Examination II Problem 1 October 12, 2004
A 35 kg motor is found to have an unbalance of 0.5 kg-m and has an operating speed of 1200 rpm (125.66 rad/s). The motor has bolt holes at each of the four corners of the base. a) If the motor is bolted directly to the ground determine the vertical force transmitted to the ground. b) Neglecting damping, design an isolator to obtain an 80% reduction in the force transmitted to the ground. What is the force transmitted? c) Since every real system has damping would you expect the actual force transmitted to be larger or small than the value calculated in part b)? Explain.
Name 20 pts EM406 Examination II Problem 3 October 12, 2004
3.1) (3 pts) A second order system is forced with the excitation shown below. After t = 4 the force is zero. The simulation is to be run for 10 seconds. Fill in the repeating sequence block for this input.
0
5
10
0 5 10
Time (s)
Force (N)
3.2) (3 pts) A displacement response spectrum is shown below where Tn is the natural period. Label the vertical axis.
0 0.5 1 1.5 2 2.5 3 3.5 4
1
2
t1/Tn
zeta = 0. zeta = 0. zeta = 0.
3.3) (3 pts) Determine the constant term a 0 , in the Fourier series of the following function. Hint: You don’t need an equation for the lines. Show work for partial credit.
3.4) (3 pts) The Fourier series would consist of: a) sine and cosine terms plus a constant b) sine terms only c) cosine terms plus a constant d) sine terms plus a constant e) none of the above
3.5) (3 pts) List three ways to mount an accelerometer.
r
-2r -r^0 r^ 2r^ 3r
f(t)