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Paper IV.1

A New Analytic and Numerical Basis for the Form-Finding and Analysis of Spline and Grid-Shell Structures

S. Adriaenssens, M.R. Barnes and C.J.K. Williams

Department of Architecture and Civil Engineering, University of Bath, England

doi:10.4203/ccp.63.4.1

S. Adriaenssens, M.R. Barnes, C.J.K. Williams, "A New Analytic and Numerical Basis for the Form-Finding and Analysis of Spline and Grid-Shell Structures", in B. Kumar, B.H.V. Topping, (Editors), "Computing Developments in Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 83-90, 1999. doi:10.4203/ccp.63.4.1

Abstract

This paper discusses the behaviour of elastic rods bent from straight in which the two principal second moments of area are equal - for example circular, square or equilateral triangular bars and tubes. It is found that the stiffness of a laterally loaded circular ring, bent from straight, is totally independent of the torsional rigidity. This was demonstrated one hundred years ago, but is not generally known.

The fact that the two principal second moments of area are equal leads to a particularly simple numerical formulation using only three degrees of freedom per node. This is particularly valuable for examining snap through buckling of grid shells, battened membranes and cable braced splines.

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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: 63 COMPUTING DEVELOPMENTS IN CIVIL AND STRUCTURAL ENGINEERING Edited by: B. Kumar and B.H.V. Topping Paper IV.1 A New Analytic and Numerical Basis for the Form-Finding and Analysis of Spline and Grid-Shell Structures S. Adriaenssens, M.R. Barnes and C.J.K. Williams Department of Architecture and Civil Engineering, University of Bath, England doi:10.4203/ccp.63.4.1 purchase the full-text of this paper Full Bibliographic Reference for this paper S. Adriaenssens, M.R. Barnes, C.J.K. Williams, "A New Analytic and Numerical Basis for the Form-Finding and Analysis of Spline and Grid-Shell Structures", in B. Kumar, B.H.V. Topping, (Editors), "Computing Developments in Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 83-90, 1999. doi:10.4203/ccp.63.4.1 Abstract This paper discusses the behaviour of elastic rods bent from straight in which the two principal second moments of area are equal - for example circular, square or equilateral triangular bars and tubes. It is found that the stiffness of a laterally loaded circular ring, bent from straight, is totally independent of the torsional rigidity. This was demonstrated one hundred years ago, but is not generally known. The fact that the two principal second moments of area are equal leads to a particularly simple numerical formulation using only three degrees of freedom per node. This is particularly valuable for examining snap through buckling of grid shells, battened membranes and cable braced splines. 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 £66 +P&P)
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