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Variational formula...
Variational formulation of curved beams in global coordinates
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- Hansbo, Peter (författare)
- Jönköping University,JTH, Maskinteknik,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering,Högskolan i Jönköping, Tekniska Högskolan, JTH
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- Larson, Mats G. (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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- Larsson, Karl, 1981- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Umeå University
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(creator_code:org_t)
- 2013-09-22
- 2014
- Engelska.
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Ingår i: Computational Mechanics. - : Springer Science and Business Media LLC. - 0178-7675 .- 1432-0924. ; 53:4, s. 611-623
- Relaterad länk:
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http://arxiv.org/pdf...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- In this paper we derive a variational formulation for the static analysis of a linear curved beam natively expressed in global Cartesian coordinates. Using an implicit description of the beam midline during derivation we eliminate the need for local coordinates. The only geometrical information appearing in the final expressions for the governing equations is the tangential direction. As a consequence, zero or discontinuous curvature, for example at inflection points, pose no difficulty in this formulation. Kinematic assumptions encompassing both Timoshenko and Euler-Bernoulli beam theories are considered. With the exception of truly three-dimensional formulations, models for curved beams found in the literature are typically derived in the local Frenet frame. We implement finite element methods with global degrees of freedom and discuss curvature coupling effects and locking. Numerical comparisons with classical solutions for straight and curved cantilever beams under tip load are given, as well as numerical examples illustrating curvature coupling effects.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
Nyckelord
- curved beams
- global coordinates
- finite elements
- linear elasticity
- vector distance function
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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