Transverse vibration of axially moving functionally graded materials based on Timoshenko beam theory
type: Item
instance of: scholarly article
title: Transverse vibration of axially moving functionally graded materials based on Timoshenko beam theory
zbMATH Open document ID: 1394.74062
DOI: 10.1155/2015/391452
author: Suihan Sui
author: Ling Chen
author: Cheng Li
author: Xinpei Liu
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The transverse free vibration of an axially moving beam made of functionally graded materials (FGM) is investigated using a Timoshenko beam theory. Natural frequencies, vibration modes, and critical speeds of such axially moving systems are determined and discussed in detail. The material properties are assumed to vary continuously through the thickness of the beam according to a power law distribution. Hamilton's principle is employed to derive the governing equation and a complex mode approach is utilized to obtain the transverse dynamical behaviors including the vibration modes and natural frequencies. Effects of the axially moving speed and the power-law exponent on the dynamic responses are examined. Some numerical examples are presented to reveal the differences of natural frequencies for Timoshenko beam model and Euler beam model. Moreover, the critical speed is determined numerically to indicate its variation with respect to the power-law exponent, axial initial stress, and length to thickness ratio.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 6926251
Wikidata QID: Q59118454
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/391452
OpenAlex ID: W1566498030
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description: scientific article; zbMATH DE number 6926251