Kekakuan struktural
Dalam geometri diskrit dan mekanika, kekakuan struktural adalah teori kombinatorial untuk memprediksi fleksibilitas ansambel yang dibentuk oleh benda tegar yang dihubungkan oleh sambungan atau engsel yang fleksibel.
Referensi
suntingSumber
sunting- Alfakih, Abdo Y. (2007), "On dimensional rigidity of bar-and-joint frameworks", Discrete Applied Mathematics, 155 (10): 1244–1253, doi:10.1016/j.dam.2006.11.011, MR 2332317.
- Connelly, Robert (1980), "The rigidity of certain cabled frameworks and the second-order rigidity of arbitrarily triangulated convex surfaces", Advances in Mathematics, 37 (3): 272–299, doi:10.1016/0001-8708(80)90037-7, MR 0591730.
- Crapo, Henry (1979), "Structural rigidity", Structural Topology (1): 26–45, 73, MR 0621627.
- Maxwell, J. C. (1864), "On reciprocal figures and diagrams of forces", Philosophical Magazine, 4th Series, 27: 250–261.
- Rybnikov, Konstantin; Zaslavsky, Thomas (2005), "Criteria for balance in abelian gain graphs, with applications to piecewise-linear geometry", Discrete and Computational Geometry, 34 (2): 251–268, doi:10.1007/s00454-005-1170-6, MR 2155721.
- Whiteley, Walter (1988), "The union of matroids and the rigidity of frameworks", SIAM Journal on Discrete Mathematics, 1 (2): 237–255, doi:10.1137/0401025, MR 0941354