Show that the response of a structure subjected to a critically damped free response have initial boundary conditions u = u(0) and ủ = ü(0) is given by the equation u(t) -wntu(0) + t[u(0)wn + ú(0)]]

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Show that the response of a structure subjected to a critically
damped free response have initial boundary conditions u = u(0) and ủ = ü(0) is given by
the equation
u(t)
-@nt[u(0) + t[u(0)wn + ù(0)]]
Transcribed Image Text:Show that the response of a structure subjected to a critically damped free response have initial boundary conditions u = u(0) and ủ = ü(0) is given by the equation u(t) -@nt[u(0) + t[u(0)wn + ù(0)]]
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