Question 5 (a)-Determine the natural frequency of vibration and mode shape corresponding to first and third mode of vibration for the shear building shown in following figure. (b)-Apply the orthogonality relationship between these two modes of vibration. K₁=K₂=K3=K M₁=M₂=M3-M K₁ Limf m₁ X1 K₂ ww m₂ X2 K3 ww m3 X3

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Question 5
(a)-Determine the natural frequency of vibration and mode shape corresponding to first and third
mode of vibration for the shear building shown in following figure.
(b)-Apply the orthogonality relationship between these two modes of vibration.
K₁=K₂=K3=K
M₁=M₂=M3-M
K₁
Limf
m₁
X1
K₂
ww
m₂
X2
K3
ww
m3
X3
Transcribed Image Text:Question 5 (a)-Determine the natural frequency of vibration and mode shape corresponding to first and third mode of vibration for the shear building shown in following figure. (b)-Apply the orthogonality relationship between these two modes of vibration. K₁=K₂=K3=K M₁=M₂=M3-M K₁ Limf m₁ X1 K₂ ww m₂ X2 K3 ww m3 X3
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