论文信息 - A symmetry extension of Maxwell's rule for rigidity of frames

A symmetry extension of Maxwell's rule for rigidity of frames

A symmetry extension of Maxwell's rule for rigidity of frames is found. This rule subsumes and strengthens Maxwell's 1864 rule by requiring that the internal and external degrees of freedom of a pin-jointed structure are not only numerically equal, but are also equisymmetric. A number of special cases of Maxwell's original rule are studied to show the improved insight that the symmetry-adapted version can give.

Patrick W. Fowler | Simon D. Guest | P. Fowler | S. Guest

[1] Robert W. Marks,et al. The Dymaxion world of Buckminster Fuller , 1960 .

[2] Simon D. Guest,et al. Detection of finite mechanisms in symmetric structures , 1999 .

[3] P. Fowler,et al. Extension of Euler's theorem to symmetry properties of polyhedra , 1991, Nature.

[4] Arnout Ceulemans,et al. Electron Deficiency of the Fullerenes , 1995 .

[5] Simon D. Guest,et al. Symmetry-adapted equilibrium matrices , 2000 .

[6] M. Child,et al. Tables for group theory , 1970 .

[7] J. Maxwell,et al. The Scientific Papers of James Clerk Maxwell: On the Calculation of the Equilibrium and Stiffness of Frames , 1864 .

[8] C. Calladine. Buckminster Fuller's “Tensegrity” structures and Clerk Maxwell's rules for the construction of stiff frames , 1978 .

[9] S. Pellegrino,et al. Matrix analysis of statically and kinematically indeterminate frameworks , 1986 .