Thrust network analysis: A new methodology for three-dimensional equilibrium

Journal of the International Association for Shell and Spatial Structures

Volumn 48, Issue 155, 2007, Pages 167-173

  Block, Philippe ^a   Ochsendorf, John ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Compression only structures; Form finding; Funicular analysis; Lower bound analysis; Reciprocal diagrams; Structural optimization; Thrust network analysis; Unreinforced masonry vaults

Indexed keywords

COMPACTION; GRAVITATIONAL EFFECTS; LINEARIZATION; OPTIMIZATION;

COMPRESSION-ONLY STRUCTURES; DUALITY THEORY; FORM-FINDING; FUNICULAR ANALYSIS; LOWER-BOUND ANALYSIS; RECIPROCAL DIAGRAMS; THRUST NETWORK ANALYSIS; UNREINFORCED MASONRY VAULTS;

SURFACE STRUCTURE;

EID: 39449135104     PISSN: 1028365X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (12)

1. Block, P., Ciblac, T., and Ochsendorf, J., Real-Time Limit Analysis of Vaulted Masonry Buildings, Comput. Struct., Vol. 84, No. 29-30, 2006, pp. 1841-1852.
2. O'Dwyer, D., Funicular Analysis of masonry vaults, Comput. Struct., Vol. 73, No. 1-5, 1999, pp. 187-197.
3. Williams, C. J. K., Defining and designing curved flexible tensile surface structures, The mathematics of surfaces, Ed. J.A. Gregory, Oxford, Clarendon Press, 1986, pp. 143-177.
4. Maxwell, J. C., On reciprocal figures and diagrams of forces, Phil. Mag. Series, Vol. 4, No. 27, 1864, pp. 250-261.
5. Cremona, L., Le Figure Reciproche nella Statica Grafica, Milan, Ulrico Hoepli, 1879.
6. Bow, R. H., Economics of construction in relation to frames structures, London, Spon, 1873.
7. http://www.mathworks.com/products/matlab/
8. http://www.rhino3d.com/
9. Block, P., Three-dimensional Equilibrium Approaches for Structural Analysis and Design, PhD Dissertation, Massachusetts Institute of Technology, Expected 2009.
10. Heyman, J., The Stone Skeleton: Structural engineering of masonry architecture, Cambridge University Press, 1995.
11. Boothby, T. E., T Analysis of masonry arches and vaults, Prog. Struct. Engng Mater., Vol. 3, 2001, pp. 246-256.
12. Block, P., and Ochsendorf, J., Lower-bound analysis of unreinforced masonry vaults, Submitted for the 6th International Conference on Structural Analysis of Historical Construction, Bath, UK, 2008.