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A.B. Sabir, H.F.S. El-Erris, "Finite Element Analysis of Hyperbolic Paraboloid Shells", in B.H.V. Topping, (Editor), "Proceedings of the International Conference on the Design and Construction of Non-Conventional Structures", Civil-Comp Press, Edinburgh, UK, pp 195-204, 1987. doi:10.4203/ccp.7.8.4

Abstract

Two strain-based finite elements are developed and tested by applying them to the analysis of hyperbolic paraboloid (hyper) shells. Both elements are based on shallow shell equations and their displacement fields satisfy the exact requirement for rigid body modes of displacements. The first is associated with the essential external five degrees of freedom at each of the four corners only. The second has six nodal degrees of freedom, the previous five together with an additional one representing the inplane rotation.

The convergence characteristics of these two elements are tested by applying them to the solutions of hypers under a uniformly distributed load and having the outer edges either simply supported or clamped. The opportunity is also taken to analyse hypars with edge beams and the effect of varying the stiffness of edge beams on the deflections and the various components of stresses within the hyper shell roof is investigated.

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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: 7/8 PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON THE DESIGN AND CONSTRUCTION OF NON-CONVENTIONAL STRUCTURES Edited by: B.H.V. Topping Paper VIII.4 Finite Element Analysis of Hyperbolic Paraboloid Shells A.B. Sabir and H.F.S. El-Erris Department of Civil and Structural Engineering, University College, Cardiff, Wales doi:10.4203/ccp.7.8.4 purchase the full-text of this paper Full Bibliographic Reference for this paper A.B. Sabir, H.F.S. El-Erris, "Finite Element Analysis of Hyperbolic Paraboloid Shells", in B.H.V. Topping, (Editor), "Proceedings of the International Conference on the Design and Construction of Non-Conventional Structures", Civil-Comp Press, Edinburgh, UK, pp 195-204, 1987. doi:10.4203/ccp.7.8.4 Abstract Two strain-based finite elements are developed and tested by applying them to the analysis of hyperbolic paraboloid (hyper) shells. Both elements are based on shallow shell equations and their displacement fields satisfy the exact requirement for rigid body modes of displacements. The first is associated with the essential external five degrees of freedom at each of the four corners only. The second has six nodal degrees of freedom, the previous five together with an additional one representing the inplane rotation. The convergence characteristics of these two elements are tested by applying them to the solutions of hypers under a uniformly distributed load and having the outer edges either simply supported or clamped. The opportunity is also taken to analyse hypars with edge beams and the effect of varying the stiffness of edge beams on the deflections and the various components of stresses within the hyper shell roof is investigated. 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 £78 +P&P)
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