A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin Plates

A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin Plates

Dynamic Finite Element formulation is a powerful technique that combines the accuracy of the exact analysis with wide applicability of the finite element method. The infinite dimensionality of the exact solution space of plate equation has been a major challenge for development of such elements for...

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Main Authors: Mohammad M. Elahi, Seyed M. Hashemi
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2017/5905417
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spelling doaj-874019093cbd41b1af2b415d4d3f4b2f2020-11-25T01:05:24ZengHindawi LimitedShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/59054175905417A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin PlatesMohammad M. Elahi0Seyed M. Hashemi1Department of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, ON, M5B 2 K3, CanadaDepartment of Aerospace Engineering, Ryerson University, 350 Victoria Street, Toronto, ON, M5B 2 K3, CanadaDynamic Finite Element formulation is a powerful technique that combines the accuracy of the exact analysis with wide applicability of the finite element method. The infinite dimensionality of the exact solution space of plate equation has been a major challenge for development of such elements for the dynamic analysis of flexible two-dimensional structures. In this research, a framework for such extension based on subset solutions is proposed. An example element is then developed and implemented in MATLAB® software for numerical testing, verification, and validation purposes. Although the presented formulation is not exact, the element exhibits good convergence characteristics and can be further enriched using the proposed framework.http://dx.doi.org/10.1155/2017/5905417
collection DOAJ
language English
format Article
sources DOAJ
author Mohammad M. Elahi
Seyed M. Hashemi
spellingShingle Mohammad M. Elahi
Seyed M. Hashemi
A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin Plates
Shock and Vibration
author_facet Mohammad M. Elahi
Seyed M. Hashemi
author_sort Mohammad M. Elahi
title A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin Plates
title_short A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin Plates
title_full A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin Plates
title_fullStr A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin Plates
title_full_unstemmed A Framework for Extension of Dynamic Finite Element Formulation to Flexural Vibration Analysis of Thin Plates
title_sort framework for extension of dynamic finite element formulation to flexural vibration analysis of thin plates
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2017-01-01
description Dynamic Finite Element formulation is a powerful technique that combines the accuracy of the exact analysis with wide applicability of the finite element method. The infinite dimensionality of the exact solution space of plate equation has been a major challenge for development of such elements for the dynamic analysis of flexible two-dimensional structures. In this research, a framework for such extension based on subset solutions is proposed. An example element is then developed and implemented in MATLAB® software for numerical testing, verification, and validation purposes. Although the presented formulation is not exact, the element exhibits good convergence characteristics and can be further enriched using the proposed framework.
url http://dx.doi.org/10.1155/2017/5905417
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