Free Vibration Of Tall Buildings Using
Timoshenko Beams With Variable Cross-section
Author(s)
R. Rahgozar, H. Safari & P. Kaviani
Abstract
The free vibration of Timoshenko beams with varying cross-section is reduced to
an analytical solvable standard differential equation. This equation form depends
on the specific moment of inertia, cross-section area and mass variation. The
more accurate mode shapes and natural frequencies can be obtained by
combining the effects of shear and flexural deformation. In this paper the main
differential equation of vibration which involves flexural and shear effects
(Timoshenko beam without rotary inertia effect) is obtained. The general
solution of the main vibration equation has been derived by selecting suitable
expressions such as power and exponential functions for the stiffness and mass
distribution. Tall structures can be treated as cantilever beams with variable
cross-section for their free vibrationa
Keywords
Related Book
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