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A single-degree-of-freedom damped oscillator with natural period, TO=1.0 s and viscous damping ratio, & = 0.05 is subjected to a ground induced acceleration rectangular pulse with amplitude ag=0.5g and duration Tp=0.5 sec. Compute analytically and plot the exact response of the structure up to a time tf=5 s.Compute the same time history response by integrating numerically the Duhamel integral. Plot the two solutions (analytical and numerical) one on top of the other %3D

A single-degree-of-freedom damped oscillator with natural period, TO=1.0 s and viscous damping ratio, & = 0.05 is subjected to a ground induced acceleration rectangular pulse with amplitude ag=0.5g and duration Tp=0.5 sec. Compute analytically and plot the exact response of the structure up to a time tf=5 s.Compute the same time history response by integrating numerically the Duhamel integral. Plot the two solutions (analytical and numerical) one on top of the other %3D

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A single-degree-of-freedom damped ocillator with natural period, TO=1.0 s and viscous damping ratio, & = 0.05 is subjected to a ground induced acceleration rectangular pulse with amplitude ag=0.5g and duration Tp=0.5 sec. Compute analytically and plot the exact response of the structure up to a time tf=5 s.Compute the same time history response by integrating numerically the Duhamel integral. Plot the two solutions (analytical and numerical) one on top of the other
Transcribed Image Text:A single-degree-of-freedom damped ocillator with natural period, TO=1.0 s and viscous damping ratio, & = 0.05 is subjected to a ground induced acceleration rectangular pulse with amplitude ag=0.5g and duration Tp=0.5 sec. Compute analytically and plot the exact response of the structure up to a time tf=5 s.Compute the same time history response by integrating numerically the Duhamel integral. Plot the two solutions (analytical and numerical) one on top of the other
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