Publication Type : Conference Paper
Publisher : IOP Conference Series: Materials Science and Engineering
Source : IOP Conference Series: Materials Science and Engineering, Institute of Physics Publishing, Volume 225, Number 1 (2017)
Keywords : Algebraic equations, Costs, Differential transform method, Eigenvalue analysis, eigenvalues and eigenfunctions, End conditions, Flow measurement, Governing equations, Ordinary and partial differential equations, Ordinary differential equations, Paper analysis, Polynomials, Vibration analysis, Vibration characteristics
Campus : Bengaluru
School : School of Engineering
Department : Mechanical, Civil
Year : 2017
Abstract : The present paper analyses the vibration characteristics of non-uniform rods using Differential Transform Method. The method is very effective in solving ordinary and partial differential equations. The governing equations are transformed into a set of polynomials and the solution of these algebraic equations gives the desired frequency. Method is implemented for fix-free and fix-fix end conditions of a non-uniform rod. It is seen that the lower modes are sensitive to taper ratio in case of fix-free rod and fix-fix case frequency is same as that of uniform rod for different taper ratios. The method has proved to be accurate, simple and effective for eigenvalue analysis.
Cite this Research Publication : S. Shali, Nagaraja S. R., and Jafarali, P., “Vibration of non-uniform rod using Differential Transform Method”, IOP Conference Series: Materials Science and Engineering, vol. 225. Institute of Physics Publishing, 2017.