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Keywords: helix, finite element, planar element, axial strain..

Summary

In this paper, we elaborate and verify a generic planar (two dimensional) finite element model formulation of the mechanical response of helical structures, which exploits the symmetry of helical guidelines. To this end, we employ a single helix cross section which can capture the response of the helix body, classifying the model in the realm of volume representative models. The axial straining of helical structures is described through an appropriately selected displacement field. The model is conveniently compared and verified to established analytic expressions for the entire range of helix configurations. It is noteworthy that the helix symmetry exploitation allows for very robust numerical calculations resulting in a significant reduction of the computational time. The latter constitutes a basic prerequisite for the efficient computation of complex helical structures both in the field of classical engineering applications (cable construction) as well in the realm of engineering biomechanical applications where the large number of constituents along with the necessity of optimization processes renders the use of volume models too expensive if not prohibitive.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 202 A Planar Finite Element Model for Axial Strain of Helical Structures N. Karathanasopoulos¹ and G. Kress² ¹Institute of Mechanical Systems, ETH Zurich, Switzerland ²Structure Technologies, ETH Zurich, Switzerland doi:10.4203/ccp.106.202 purchase the full-text of this paper Full Bibliographic Reference for this paper N. Karathanasopoulos, G. Kress, "A Planar Finite Element Model for Axial Strain of Helical Structures", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 202, 2014. doi:10.4203/ccp.106.202 Keywords: helix, finite element, planar element, axial strain.. Summary In this paper, we elaborate and verify a generic planar (two dimensional) finite element model formulation of the mechanical response of helical structures, which exploits the symmetry of helical guidelines. To this end, we employ a single helix cross section which can capture the response of the helix body, classifying the model in the realm of volume representative models. The axial straining of helical structures is described through an appropriately selected displacement field. The model is conveniently compared and verified to established analytic expressions for the entire range of helix configurations. It is noteworthy that the helix symmetry exploitation allows for very robust numerical calculations resulting in a significant reduction of the computational time. The latter constitutes a basic prerequisite for the efficient computation of complex helical structures both in the field of classical engineering applications (cable construction) as well in the realm of engineering biomechanical applications where the large number of constituents along with the necessity of optimization processes renders the use of volume models too expensive if not prohibitive. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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