# Homework9 - i compute the absolute maximum displacement per...

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CEE511 – Structural Dynamics Winter Semester 2005-2006 Homework #9 (Due Monday, April 17, 2006) Multiple Degree of Freedom Systems – Complete Analysis A lumped mass undamped structural system is shown below: p 2 (t) p 1 (t) m 2 m 1 k 2 k 1 10 k 0.1 t (seconds) p 1 (t) 20 k 0.1 t (seconds) p 2 (t) For the system: (a) Perform a response history analysis using modal superposition method to: i. determine the displacement response of the structure due to the impulsive loads shown in the figure ii. plot the displacement time history for each floor iii. determine the maximum displacement on each floor iv. determine the maximum floor shear forces (b) Use the impulse response spectrum to:

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Unformatted text preview: i. compute the absolute maximum displacement per each floor ii. estimate the displacement response per each floor using the SRSS method iii. estimate the floor shear forces using the SRSS method (c) Comment on the solutions obtained in Parts (a) and (b) • Assume the structural system is initially at rest • Structural Properties: o m 1 = 136 lb-sec 2 /in o m 2 = 66 lb-sec 2 /in o k 1 = 30,700 lb/in o k 2 = 44,300 lb/in • Figures from Biggs, Introduction to Structural Dynamics, show the maximum response of SDOF (undamped) system subjected to rectangular and triangular load pulses having zero rising time....
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Homework9 - i compute the absolute maximum displacement per...

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