Homework3 - CEE511 Structural Dynamics Fall Semester...

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CEE511 – Structural Dynamics Fall Semester 2010-2011 Homework #3 (Due October 4, 2010) Single Degree of Freedom Systems – Free Vibration 1. Chopra Problem 2.6 2. Chopra Problem 2.20 3. Consider a heavy mass of weight W on the following beam system: EI = 10 6 k-in 2 massless beam W = 5 kips 60 in 60 in Assume the damping ratio of the beam is = 10%. If displacement, u , corresponds to the displacement of beam at the location of the attached weight, and if the system is given an initial displacement of 0.5 in and an initial velocity of 15 in/sec determine the following: a. Write the equation of motion of the system wha t type o f sys tem is i t i .e . , underdamped, critically damped, overdamped)? b. The undamped natural frequency ( n ) and period ( T n ) of the system c. The damped natural frequency ( d T ) of the system
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This note was uploaded on 02/03/2011 for the course CE 573 taught by Professor Various during the Spring '11 term at American University of Science & Tech.

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Homework3 - CEE511 Structural Dynamics Fall Semester...

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