Homework #3 ISE 2142-212 Dynamics and Vibrations 2nd semester, 2009 Department of Mechanical Engineering Chulalongkorn University NAV and PPT Name... ID...
Harmonic Excitation and Applications
1. (Inman P2.47) A fan of 45 kg has an unbalance that creates a harmonic force. A spring-damper system is designed to minimize the force transmitted to the base of the fan. A damper is used having a damping ratio of ζ = 0.2. Calculate the required spring stiffness so that only 10% of the unbalance force is transmitted to the ground when the fan is running at 10,000 rpm.
2. Consider the base excitation problem for the configuration shown in the figure. In this case the base motion is a displacement transmitted through a dashpot or pure damping element.
a) Derive the equation of motion of the mass
b) Find the force transmitted to the support in steady state in terms of ζ,r,k,Y, where t
Y t
y( )= sinω .
Homework #3 ISE 2142-212 Dynamics and Vibrations 2nd semester, 2009 Department of Mechanical Engineering Chulalongkorn University NAV and PPT Name... ID...
1.
2.
