Solve the wave equation for the following cases: ii) For free free ends beam with following condition: - &u Boundry conditions: For x = 0 and x = 1 => Inetial conditions: inetial desplacement: u(x, 0) = f(x): &u(x, 0) inetial relocity &t = g(x). Boundry conditions: For u(0, t) = 0 and Inetial conditions: iii) For fixed - free ends team with following condition: &u(1, t) &x inetial desplacement: u(x, 0) = f(x): &u(x, 0) inetial relocity &t -= 0 = g(x). &x = 0

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Home work:
Solve the wave equation for the following cases:
ii) For free free ends beam with following condition:
-
&u
Boundry conditions: For x = 0 and x = 1 ⇒ = 0
&x
Inetial conditions:
inetial desplacement: u(x, 0) = f(x):
&u(x, 0)
inetial relocity
&t
= g(x).
iii) For fixed - free ends team with following condition:
&u(l,
&u (1, t)-0
&x
Boundry conditions: For u(0, t) = 0 and
Inetial conditions:
inetial desplacement: u(x, 0) = f(x):
&u(x, 0)
inetial relocity
&t
= g(x).
Transcribed Image Text:Home work: Solve the wave equation for the following cases: ii) For free free ends beam with following condition: - &u Boundry conditions: For x = 0 and x = 1 ⇒ = 0 &x Inetial conditions: inetial desplacement: u(x, 0) = f(x): &u(x, 0) inetial relocity &t = g(x). iii) For fixed - free ends team with following condition: &u(l, &u (1, t)-0 &x Boundry conditions: For u(0, t) = 0 and Inetial conditions: inetial desplacement: u(x, 0) = f(x): &u(x, 0) inetial relocity &t = g(x).
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