Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate

In this paper, the analysis of natural frequencies for all clamped edges rectangular flexible thin plate is carried out using Finite Difference (FD) and Finite Element (FE) approaches. According to the literatures, the differential equation of plate was obtained by considering the Kirchhoff hypothes...

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Main Authors: Mat Darus, Intan Zaurah, Safizadeh, M. R.
Format: Article
Published: Praise Worthy Prize S.r.l. 2010
Subjects:
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author Mat Darus, Intan Zaurah
Safizadeh, M. R.
author_facet Mat Darus, Intan Zaurah
Safizadeh, M. R.
author_sort Mat Darus, Intan Zaurah
collection ePrints
description In this paper, the analysis of natural frequencies for all clamped edges rectangular flexible thin plate is carried out using Finite Difference (FD) and Finite Element (FE) approaches. According to the literatures, the differential equation of plate was obtained by considering the Kirchhoff hypotheses and Newton’s law. The dynamic differential model is developed by using the FD to obtain the natural frequencies of given plate; for this purpose, a displacement model is converted to combination of sine and cosine functions in form of Fast Fourier Series. In second method, modes of vibration are driven by FE method using the ABAQUS software. The obtained natural frequencies of both methods are evaluated and compared with previous literatures; the outcomes can explain that the improved FD method’s results are more accurate in compare with FE method’s.
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spelling utm.eprints-262852018-11-30T06:24:44Z http://eprints.utm.my/26285/ Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate Mat Darus, Intan Zaurah Safizadeh, M. R. TJ Mechanical engineering and machinery In this paper, the analysis of natural frequencies for all clamped edges rectangular flexible thin plate is carried out using Finite Difference (FD) and Finite Element (FE) approaches. According to the literatures, the differential equation of plate was obtained by considering the Kirchhoff hypotheses and Newton’s law. The dynamic differential model is developed by using the FD to obtain the natural frequencies of given plate; for this purpose, a displacement model is converted to combination of sine and cosine functions in form of Fast Fourier Series. In second method, modes of vibration are driven by FE method using the ABAQUS software. The obtained natural frequencies of both methods are evaluated and compared with previous literatures; the outcomes can explain that the improved FD method’s results are more accurate in compare with FE method’s. Praise Worthy Prize S.r.l. 2010 Article PeerReviewed Mat Darus, Intan Zaurah and Safizadeh, M. R. (2010) Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate. International Review of Mechanical Engineering (IREME), 4 (4). 433 - 440. ISSN 1970 - 8734 http://www.praiseworthyprize.com/IREME-latest/IREME_vol_4_n_4.html#Natural_Frequency_Analysis_of_All_Edges_Clamped_Flexible_Thin_Plate
spellingShingle TJ Mechanical engineering and machinery
Mat Darus, Intan Zaurah
Safizadeh, M. R.
Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate
title Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate
title_full Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate
title_fullStr Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate
title_full_unstemmed Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate
title_short Natural Frequency Analysis Of All Edges Clamped Flexible Thin Plate
title_sort natural frequency analysis of all edges clamped flexible thin plate
topic TJ Mechanical engineering and machinery
work_keys_str_mv AT matdarusintanzaurah naturalfrequencyanalysisofalledgesclampedflexiblethinplate
AT safizadehmr naturalfrequencyanalysisofalledgesclampedflexiblethinplate