PROBLEM3: Assume that the mass and stiffness of the system of Fig3 are: m = 1000 kg, k = 1000 kN/m, and that it is undamped. If the initial displacement is u(0) = 4cm, and the displacement at t = 1.2sec is also 4cm, determine: (a) the displacement at t = 2.4sec (b) the amplitude of free vibration uo

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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PROBLEM3:
Assume that the mass and stiffness of the system of Fig3 are: m = 1000 kg , k = 1000 kN/m, and that
it is undamped. If the initial displacement is u(0) = 4cm, and the displacement at t = 1.2sec is also 4cm,
determine:
(a) the displacement at t = 2.4sec
(b) the amplitude of free vibration uo
[1
ooooo
k
m
-v(t)
p(t)
fø(1)
fs(1)
fr(1)
- v(t)
p(1)
(a)
(b)
Figure 3-Idealized SDOF system: (a) basic components; (b) forces in equilibrium
Transcribed Image Text:PROBLEM3: Assume that the mass and stiffness of the system of Fig3 are: m = 1000 kg , k = 1000 kN/m, and that it is undamped. If the initial displacement is u(0) = 4cm, and the displacement at t = 1.2sec is also 4cm, determine: (a) the displacement at t = 2.4sec (b) the amplitude of free vibration uo [1 ooooo k m -v(t) p(t) fø(1) fs(1) fr(1) - v(t) p(1) (a) (b) Figure 3-Idealized SDOF system: (a) basic components; (b) forces in equilibrium
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