Finite Element Vibration Analysis of Laminated Composite Folded Plate Structures

A nine-noded Lagrangian plate bending finite element that incorporates first-order transverse shear deformation and rotary inertia is used to predict the free and forced vibration response of laminated composite folded plate structures. A 6 × 6 transformation matrix is derived to transform the syste...

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Main Authors: A. Guha Niyogi, M.K. Laha, P.K. Sinha
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/1999/354234
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author A. Guha Niyogi
M.K. Laha
P.K. Sinha
author_facet A. Guha Niyogi
M.K. Laha
P.K. Sinha
author_sort A. Guha Niyogi
collection DOAJ
description A nine-noded Lagrangian plate bending finite element that incorporates first-order transverse shear deformation and rotary inertia is used to predict the free and forced vibration response of laminated composite folded plate structures. A 6 × 6 transformation matrix is derived to transform the system element matrices before assembly. The usual five degrees-of-freedom per node is appended with an additional drilling degree of freedom in order to fit the transformation. The present finite element results show good agreement with the available semi-analytical solutions and finite element results. Parametric studies are conducted for free and forced vibration analysis for laminated folded plates, with reference to crank angle, fibre angle and stacking sequence. The natural frequencies and mode shapes, and forced vibration responses furnished here may serve as a benchmark for future investigations.
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series Shock and Vibration
spelling doaj-art-50dd0512d3754ba3b5b46d7895028fa52025-08-20T03:36:15ZengWileyShock and Vibration1070-96221875-92031999-01-0165-627328310.1155/1999/354234Finite Element Vibration Analysis of Laminated Composite Folded Plate StructuresA. Guha Niyogi0M.K. Laha1P.K. Sinha2Department of Aerospace Engineering, Indian Institute of Technology, Kharagpur – 721 302, IndiaDepartment of Aerospace Engineering, Indian Institute of Technology, Kharagpur – 721 302, IndiaDepartment of Aerospace Engineering, Indian Institute of Technology, Kharagpur – 721 302, IndiaA nine-noded Lagrangian plate bending finite element that incorporates first-order transverse shear deformation and rotary inertia is used to predict the free and forced vibration response of laminated composite folded plate structures. A 6 × 6 transformation matrix is derived to transform the system element matrices before assembly. The usual five degrees-of-freedom per node is appended with an additional drilling degree of freedom in order to fit the transformation. The present finite element results show good agreement with the available semi-analytical solutions and finite element results. Parametric studies are conducted for free and forced vibration analysis for laminated folded plates, with reference to crank angle, fibre angle and stacking sequence. The natural frequencies and mode shapes, and forced vibration responses furnished here may serve as a benchmark for future investigations.http://dx.doi.org/10.1155/1999/354234
spellingShingle A. Guha Niyogi
M.K. Laha
P.K. Sinha
Finite Element Vibration Analysis of Laminated Composite Folded Plate Structures
Shock and Vibration
title Finite Element Vibration Analysis of Laminated Composite Folded Plate Structures
title_full Finite Element Vibration Analysis of Laminated Composite Folded Plate Structures
title_fullStr Finite Element Vibration Analysis of Laminated Composite Folded Plate Structures
title_full_unstemmed Finite Element Vibration Analysis of Laminated Composite Folded Plate Structures
title_short Finite Element Vibration Analysis of Laminated Composite Folded Plate Structures
title_sort finite element vibration analysis of laminated composite folded plate structures
url http://dx.doi.org/10.1155/1999/354234
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AT mklaha finiteelementvibrationanalysisoflaminatedcompositefoldedplatestructures
AT pksinha finiteelementvibrationanalysisoflaminatedcompositefoldedplatestructures