Publication Type:

Conference Paper

Source:

IOP Conference Series: Materials Science and Engineering, Institute of Physics Publishing, Volume 225, Number 1 (2017)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85032293855&doi=10.1088%2f1757-899X%2f225%2f1%2f012027&partnerID=40&md5=f8252e4c5c2cb17ef44dc3ca0037b7fc

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

Abstract:

<p>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.</p>

Notes:

cited By 0; Conference of 1st International Conference on Materials, Alloys and Experimental Mechanics, ICMAEM 2017 ; Conference Date: 3 July 2017 Through 4 July 2017; Conference Code:130336

Cite this Research Publication

S. Shali, Nagaraja, S. R., and Jafarali, P., “Vibration of non-uniform rod using Differential Transform Method”, in IOP Conference Series: Materials Science and Engineering, 2017, vol. 225.

207
PROGRAMS
OFFERED
6
AMRITA
CAMPUSES
15
CONSTITUENT
SCHOOLS
A
GRADE BY
NAAC, MHRD
8th
RANK(INDIA):
NIRF 2018
150+
INTERNATIONAL
PARTNERS