Vibration Analysis of Tapered Beam

Shukla, Rishi Kumar (2013) Vibration Analysis of Tapered Beam. MTech thesis.



Beams are very common types of structural components and it can be classified according to their geometric configuration as uniform or taper and slender or thick. If practically analyzed, the non-uniform beams provide a better distribution of mass and strength than uniform beams and can meet special functional requirements in architecture, aeronautics, robotics, and other innovative engineering applications. Design of such structures is important to resist dynamic forces, such as wind and earthquakes. It requires the basic knowledge of natural frequencies and mode shapes of those structures. In this research work, the equation of motion of a double tapered cantilever Euler beam is derived to find out the natural frequencies of the structure. Finite element formulation has been done by using Weighted residual and Galerkin’s method. Natural frequencies and mode shapes are obtained for different taper ratios. The effect of taper ratio on natural frequencies and mode shapes are evaluated and compared.

Item Type:Thesis (MTech)
Uncontrolled Keywords:Tapered beam, FEM, Taper ratio, Galerkin’s Method, Mode shapes.
Subjects:Engineering and Technology > Mechanical Engineering > Finite Element Analysis
Engineering and Technology > Mechanical Engineering > Machine Design
Divisions: Engineering and Technology > Department of Mechanical Engineering
ID Code:5005
Deposited By:Hemanta Biswal
Deposited On:05 Dec 2013 16:50
Last Modified:05 Dec 2013 16:50
Supervisor(s):Behera, R K

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