Free vibration of rods, beams and frames using spectral element method

Malik , Anusmita (2013) Free vibration of rods, beams and frames using spectral element method. MTech thesis.



When the structure vibrates with high frequency, the finite element method needs to be modeled with very large number of elements to capture all necessary frequencies of higher modes. The exact solution of the governing differential equations for the vibration problems with higher modes of vibration can be formed by using the frequency dependent shape functions and thereby formulating the frequency dependent Dynamic Stiffness Matrix for an element from which the global Dynamic Stiffness Matrix is obtained by following the procedure similar to that of the Finite Element Method (FEM). From this global DSM the higher modes of free vibration frequencies have been obtained for rods and beams using only 2 spectral elements and for frames considering each member as an element.

Item Type:Thesis (MTech)
Uncontrolled Keywords:Spectral Element; Dynamic Stiffness Matrix; Free Vibrations of rods, beams and frames, High Frequencies.
Subjects:Engineering and Technology > Civil Engineering > Structural Engineering
Divisions: Engineering and Technology > Department of Civil Engineering
ID Code:4990
Deposited By:Hemanta Biswal
Deposited On:05 Dec 2013 10:43
Last Modified:20 Dec 2013 10:03
Supervisor(s):Barik, M R

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