Application of differential transformation methods to non-linear natural frequencies of an elastically restrained tapered beam
type: Item
instance of: scholarly article
title: Application of differential transformation methods to non-linear natural frequencies of an elastically restrained tapered beam
zbMATH Open document ID: 1263.74032
DOI: 10.1504/IJMOR.2011.042444
author: Mohsen Okazi
author: Hamed Goodarzian
published in: International Journal of Mathematics in Operational Research
publication date: 2013-03-14T00:00:00Z
review text: Summary: We present the results of an analysis of an elastically restrained tapered cantilever beam using the Differential Transformation Method (DTM). The concept of differential transformation is briefly introduced, and is then employed to derive a set of differential equations for the free vibration oscillator problem. To assess the accuracy of solutions, we compare the results with the Numerical Solution (NS). It is shown that excellent agreement exists between the two sets of results. These results show where these approaches can be easily extended to other non-linear oscillations and that can be found widely applicable in engineering and science.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 6144814
zbMATH Keywords: DTMs
zbMATH Keywords: differential transformation methods
zbMATH Keywords: NS
zbMATH Keywords: numerical solutions
zbMATH Keywords: nonlinear oscillation
zbMATH Keywords: nonlinear differential equations
zbMATH Keywords: tapered beams
zbMATH Keywords: cantilever beams
zbMATH Keywords: free vibration oscillators
zbMATH Keywords: natural frequencies
zbMATH Keywords: elastically restrained beams
MaRDI profile type: Publication
full work available at URL: ijmor.2011.042444
OpenAlex ID: W2109415049
description: scientific article; zbMATH DE number 6144814