Rigidity of square grids with holes

• Autorzy: Gáspár Z. , Radics N. , Recski A.
• Konferencja: International Conference on Numerical Mathematics and Computational Mechanics : NMCM'98 (8 th ; August 1998 ; Miskolc ; Hungary)
• Języki publikacji: EN

Abstrakty

EN

Bolker and Crapo gave a graph theoretical model of square grid frameworks with diagonal rods of certain squares. Using this model there are very fast methods for connected planar square grid frameworks to determine their (infinitesimal) rigidity when we can use diagonal rods, diagonal cables or struts, long rods, long cables or struts. But what about square grids containing some kind of holes? We will show that the model can be extended to the problem of holes too.

Słowa kluczowe

EN

truss; rigidity; graph

PL

kratownica; sztywność; graf

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1999
• Tom: Vol. 6, No. 3-4
• Strony: 329--335
• Opis fizyczny: Bibliogr. 4 poz., rys.

Twórcy

autor

Gáspár Z.

• Department of Structural Mechanics, Technical University of Budapest, H-1521 Budapest, Hungary

autor

Radics N.

• Department of Computer Science and Information Theory, Technical University of Budapest, H-1521 Budapest, Hungary

autor

Recski A.

• Department of Computer Science and Information Theory, Technical University of Budapest, H-1521 Budapest, Hungary

Bibliografia

• [1] J.A. Baglivo, J.E. Graver. Incidence and Symmetry in Design and Architecture. Cambridge University Press, Cambridge, 1983.
• [2] E.D. Bolker, H. Crapo. Bracing rectangular frameworks. SIAM J. Appl. Math., 36: 473-490, 1979.
• [3] Zs. Gáspár, N. Radics, A. Recski. Square grids with long “diagonals”. Optimization Methods and Software, 10: 217-231, 1998.
• [4] A. Recski. Matroid Theory and its Applications in Electric Network Theory and in Statics. Springer, Berlin-Heidelberg-New York, and Akadémiai Kiadó, Budapest, 1989.