Show that response of an undamped SDOF System subjected to a harmonic excitation p(t) = po sin wt, w # wn is given by 1. Po 1 u(1): sin ot - sin @̟t k 1-(@/ @,)

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 response of an undamped SDOF System subjected to a harmonic
excitation p(t) = po sin wt, w # wn is given by
1.
P.
1
- sin @„t
и()
sin ot
# ®,
k 1-(@l @,)
2.
Show that the expression for damping in terms of two frequencies wa and wn
is given by the equation
Wb – Wa
2wn
Transcribed Image Text:Show that response of an undamped SDOF System subjected to a harmonic excitation p(t) = po sin wt, w # wn is given by 1. P. 1 - sin @„t и() sin ot # ®, k 1-(@l @,) 2. Show that the expression for damping in terms of two frequencies wa and wn is given by the equation Wb – Wa 2wn
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