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Abstract
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Article Information:
Optimizing the Natural Frequencies of Beams via Notch Stamping
Nabeel T. Alshabatat
Corresponding Author: Nabeel T. Alshabatat
Submitted: December 02, 2011
Accepted: December 26, 2011
Published: July 15, 2012 |
Abstract:
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Natural frequency optimization is important to avoid the coincidence of excitation frequency and
natural frequency which causes resonance phenomenon. In this study, the natural frequencies of a beam, with
different boundary conditions, are enhanced by stamping V-notches on its surface. These notches alter the local
stiffness in the beam while keeping the mass the same. This method is cost-effective in comparison with other
Structural Dynamics Modification methods (SDM) because it is a one-step manufacturing method and because
it enhances the dynamic behavior of beam structures without additional weight or additional joints. The natural
frequencies of notched beam are calculated by finite element method. In particular, ANSYS package is used
in building the notched beam models for modal analysis. The effect of notch location and size on the beam
fundamental frequency is investigated. The simulation results indicated that creating notches on free-free beam
decreases its fundamental frequency, while creating notches on clamped beam may increase its fundamental
frequency. The optimal designs of notched beams are presented. The proposed method couples a finite element
method for the modal analysis with an optimization technique based on Genetic Algorithm (GA). Three
examples are presented to show the optimal design of free-free and clamped notched beams. The optimization
results show that V-notch stamping technique is an effective technique to optimize the natural frequencies.
Key words: Finite element method, genetic algorithms, modal analysis, natural frequency, optimization, V-notch,
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Cite this Reference:
Nabeel T. Alshabatat, . Optimizing the Natural Frequencies of Beams via Notch Stamping. Research Journal of Applied Sciences, Engineering and Technology, (14): 2030-2035.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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