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1. to step force excitation is given by the equation Using Duhamel's Integral, show that the response of an undamped SDOF Po u(t) = 4 [1– cos wnt] k

1. to step force excitation is given by the equation Using Duhamel's Integral, show that the response of an undamped SDOF Po u(t) = 4 [1– cos wnt] k

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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1. Using Duhamel's Integral, show that the response of an undamped SDOF system subjected to step force excitation is given by the equation Po u(t) = 은 [1-cos ant] Using Duhamel's Integral, show that the response of an undamped SDOF system subjected 2. to a ramp force excitation is given by the equation sin wnt] u(t) = (Ust)o F Wntr 3. Using Duhamel's Integral, show that the response of an undamped SDOF system subjected to a step force with finite rise time excitation is given by the equation 1 u(t) = (Ust)o |1 (sin w,t – sin w, (t – t,))| Wntr Using Duhamel's Integral, show that the response of an undamped SDOF system subjected to a step force with finite rise time excitation is given by the equation 4. u(t) = (ust)o [(cos w„ (t – ta) – cos wnt)]
Transcribed Image Text:1. Using Duhamel's Integral, show that the response of an undamped SDOF system subjected to step force excitation is given by the equation Po u(t) = 은 [1-cos ant] Using Duhamel's Integral, show that the response of an undamped SDOF system subjected 2. to a ramp force excitation is given by the equation sin wnt] u(t) = (Ust)o F Wntr 3. Using Duhamel's Integral, show that the response of an undamped SDOF system subjected to a step force with finite rise time excitation is given by the equation 1 u(t) = (Ust)o |1 (sin w,t – sin w, (t – t,))| Wntr Using Duhamel's Integral, show that the response of an undamped SDOF system subjected to a step force with finite rise time excitation is given by the equation 4. u(t) = (ust)o [(cos w„ (t – ta) – cos wnt)]
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