Consistent Mass and Exact Displacement Shape Function for a Tapered

Valipour Goudarzi, H; Foster, S

Consistent Mass and Exact Displacement Shape Function for a Tapered

Valipour Goudarzi, H Foster, S

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Publisher:: Engineers Australia
Publication Type:: Conference Proceeding
Citation:: Proceedings of the 5th Australasian Congress on Applied Mechanics (ACAM 2007), 2007, 2 pp. 420 - 425
Issue Date:: 2007-01

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Field	Value	Language
dc.contributor.author	Valipour Goudarzi, H	en_US
dc.contributor.author	Foster, S	en_US
dc.contributor.editor	Veidt, M	en_US
dc.contributor.editor	Albermani, F	en_US
dc.contributor.editor	Daniel, B	en_US
dc.contributor.editor	Griffiths, J	en_US
dc.contributor.editor	Hargreaves, D	en_US
dc.contributor.editor	McAree, R	en_US
dc.contributor.editor	Meehan, P	en_US
dc.contributor.editor	Tan, A	en_US
dc.date	2007-12-10	en_US
dc.date.issued	2007-01	en_US
dc.identifier.citation	Proceedings of the 5th Australasian Congress on Applied Mechanics (ACAM 2007), 2007, 2 pp. 420 - 425	en_US
dc.identifier.isbn	0-8582-5862-5	en_US
dc.identifier.uri	http://hdl.handle.net/10453/16461
dc.description.abstract	The principle of virtual force is employed to derive the exact shape function for a taperedcurved frame element in space and these shape functions ca n be employed to calculate the exact consistent mass and geometric stiffness matrixes for curved-tapered frame elements. The lack of any displacement shape function with exact fulfilment of equilibrium equations by an accurate force interpolation is the salient feature of this approach. The formulation adopts the linear elastic behaviour of the material and the strain compatibility is satisfied based on the Nevier-Bernoulli hypothesis. Shear deformations are considered and the Saint-Venat hypothesis for torsion is adopted. The efficiency and accuracy of the formulation are verified using some numerical examples.	en_US
dc.publisher	Engineers Australia	en_US
dc.relation.ispartof	Proceedings of the 5th Australasian Congress on Applied Mechanics (ACAM 2007)	en_US
dc.relation.ispartof	Australasian Congress on Applied Mechanics	en_US
dc.title	Consistent Mass and Exact Displacement Shape Function for a Tapered	en_US
dc.type	Conference Proceeding
utslib.citation.volume	2	en_US
utslib.location	Brisbane, Australia	en_US
utslib.location.activity	Brisbane, Australia	en_US
utslib.for	0913 Mechanical Engineering	en_US
dc.location.activity	Brisbane, Australia	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access
pubs.consider-herdc	false	en_US
pubs.place-of-publication	Brisbane, Australia	en_US
pubs.start-date	2007-12-10	en_US
pubs.volume	2	en_US

Abstract:

The principle of virtual force is employed to derive the exact shape function for a taperedcurved frame element in space and these shape functions ca n be employed to calculate the exact consistent mass and geometric stiffness matrixes for curved-tapered frame elements. The lack of any displacement shape function with exact fulfilment of equilibrium equations by an accurate force interpolation is the salient feature of this approach. The formulation adopts the linear elastic behaviour of the material and the strain compatibility is satisfied based on the Nevier-Bernoulli hypothesis. Shear deformations are considered and the Saint-Venat hypothesis for torsion is adopted. The efficiency and accuracy of the formulation are verified using some numerical examples.

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http://hdl.handle.net/10453/16461