Answered: 1. to step force excitation is given by…

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

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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Question

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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