Show that response of an undamped SDOF System subjected to a harmonicexcitation p(t) = po sin wt, w # wn is given by1.P.1- sin @„tи()sin ot# ®,k 1-(@l @,)2.Show that the expression for damping in terms of two frequencies wa and wnis given by the equationWb – Wa2wn

Single degree of freedom pt=Posinωt , ω≠ωnut=Pok×11-ω-ωn2sinωx-ωωnsinωnt ω=ωnPosinωt=mx.…

Answered: Show that response of an undamped SDOF…

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

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

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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