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Abstract
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Article Information:
Implementation of Galerkin’s Method and Modal Analysis for Unforced Vibration Response of a Tractor Suspension Model
Ramin Shamshiri and Wan Ishak Wan Ismail
Corresponding Author: Ramin Shamshiri
Submitted: January 25, 2013
Accepted: February 25, 2013
Published: January 01, 2014 |
Abstract:
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This study provides a numerical tool for modeling and analyzing of a two degree of freedom suspension system that is used in farm tractors. In order to solve the corresponding coupled system of equations, dynamic modal expansion method and matrix transformation technique were first used to formulate the problem and to obtain the natural frequencies and modes of the tractor rear axle suspension. Galerkin’s method over the entire time domain was then employed to analyze the modal equation of motion for the unforced response. It was shown through calculations that the algorithm over entire time domain could not be generalized for computer implementation. In order to develop a stand-alone algorithm implementable in any programming environment, Galerkin’s method was applied over smaller elements of time domain. The modal and vertical equations of motions describing the suspension system were then solved numerically for both with and without damping cases. The program was used successfully to solve the actual coupled equations and to plot the results. Finally, for the damped case, where stability of the system was expected, the numerical results were confirmed through Lyapunov stability theorem.
Key words: Galerkin’s method, modal analysis, numerical method, tractor suspension, unforced vibration, ,
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Cite this Reference:
Ramin Shamshiri and Wan Ishak Wan Ismail, . Implementation of Galerkin’s Method and Modal Analysis for Unforced Vibration Response of a Tractor Suspension Model. Research Journal of Applied Sciences, Engineering and Technology, (1): 49-55.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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