Finite element formulation for free vibration of composite beams

Investigations concerning the dynamic response of composite beams with partial interaction are scarce. Derivation of the differential equations describing the interaction between composite elements normally involves with the solution of high order system of equations, which closed form solutions are...

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Main Author:	Mohd. Haniffah, Mohd. Ridza
Format:	Thesis
Language:	English
Published:	2008
Subjects:	TA Engineering (General) Civil engineering (General)
Online Access:	http://eprints.utm.my/id/eprint/5315/1/MohdRidzaMohdMFKA2008.pdf
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spelling	my-utm-ep.53152018-03-07T20:52:18Z Finite element formulation for free vibration of composite beams 2008-06 Mohd. Haniffah, Mohd. Ridza TA Engineering (General). Civil engineering (General) Investigations concerning the dynamic response of composite beams with partial interaction are scarce. Derivation of the differential equations describing the interaction between composite elements normally involves with the solution of high order system of equations, which closed form solutions are difficult. This study concerns with the finite element formulation of composite beams for free vibration. The formulation involves with the establishment of the stiffness matrix and the mass matrix of the beam. The former was obtained through extremization of the total potential energy (or Hamilton principle for dynamic) whilst the latter was obtained by lumping the elements mass at nodes. Natural frequencies of the beam were obtained as eigenvalues. These were then verified by existing analytical solution. 2008-06 Thesis http://eprints.utm.my/id/eprint/5315/ http://eprints.utm.my/id/eprint/5315/1/MohdRidzaMohdMFKA2008.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Civil Engineering Faculty of Civil Engineering 1) N.M. Newmark, C.P. Siess, and I.M. Viest (1951). Test and Analysis of Composite Beams with Incomplete Interaction. 2) A.O. Adekola (1968). Partial Interaction Between Elastically Connected Elements of a Composite Beam, International Journal Solids Structures, Vol.4 , pages 1125 to 1135. 3) Airil Yasreen Mohd Yassin (2007). The development of Precast Coldform Composite Beam. Thesis submitted to Imperial College for the degree of Doctor of Philosophy. 4) Ulf Arne Girhammar, and Vijaya K. A. Gopu. Composite Beam-Columns with Interlayer Slip-Exact Analysis, Journal of Structural Engineering, Vol. 119. 5) Yu-Fei wu, Rongqiao Xu, and Weiqiu Chen (2007). Free Vibrations of the Partial Interaction Composite Members with Axial Force, Journal of Sound and Vibration 299, pages 1074 to 1093. 6) E.Hamed and O. Rabinovitch (2005). Dynamic Behaviour of Reinforced Concrete Beams Strengthened with Composite Materials, Journal of Composites for Construction. 7) M.L. James, G.M. Smith, J.C. Wolford, and P.W. Whaley (1989). Vibration of Mechanical and Structural Systems, Harper & Row Publishers, New York. 8) Robert D.Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt (2002). Concepts and Applications of Finite Element Analysis, John Wiley & Sons, Inc. 9) Daryl L. Logan. A First Course in the Finite Element Method, Thomson.
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	TA Engineering (General) Civil engineering (General)
spellingShingle	TA Engineering (General) Civil engineering (General) Mohd. Haniffah, Mohd. Ridza Finite element formulation for free vibration of composite beams
description	Investigations concerning the dynamic response of composite beams with partial interaction are scarce. Derivation of the differential equations describing the interaction between composite elements normally involves with the solution of high order system of equations, which closed form solutions are difficult. This study concerns with the finite element formulation of composite beams for free vibration. The formulation involves with the establishment of the stiffness matrix and the mass matrix of the beam. The former was obtained through extremization of the total potential energy (or Hamilton principle for dynamic) whilst the latter was obtained by lumping the elements mass at nodes. Natural frequencies of the beam were obtained as eigenvalues. These were then verified by existing analytical solution.
format	Thesis
qualification_level	Master's degree
author	Mohd. Haniffah, Mohd. Ridza
author_facet	Mohd. Haniffah, Mohd. Ridza
author_sort	Mohd. Haniffah, Mohd. Ridza
title	Finite element formulation for free vibration of composite beams
title_short	Finite element formulation for free vibration of composite beams
title_full	Finite element formulation for free vibration of composite beams
title_fullStr	Finite element formulation for free vibration of composite beams
title_full_unstemmed	Finite element formulation for free vibration of composite beams
title_sort	finite element formulation for free vibration of composite beams
granting_institution	Universiti Teknologi Malaysia, Faculty of Civil Engineering
granting_department	Faculty of Civil Engineering
publishDate	2008
url	http://eprints.utm.my/id/eprint/5315/1/MohdRidzaMohdMFKA2008.pdf
_version_	1747814577589977088

Finite element formulation for free vibration of composite beams

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