论文信息 - Tensegrities and rotating rings of tetrahedra: a symmetry viewpoint of structural mechanics

Tensegrities and rotating rings of tetrahedra: a symmetry viewpoint of structural mechanics

Symmetry is a common attribute of both natural and engineering structures. Despite this, the application of symmetry arguments to some of the basic concepts of structural mechanics is still a novelty. This paper shows some of the insights into structural mechanics that can be obtained through careful symmetry arguments, and will show how these can provide a key to understanding the paradoxical behaviour of some symmetric structures.

Simon D. Guest | S. Guest

[1] Jacques Heyman,et al. THE TIMBER OCTAGON OF ELY CATHEDRAL. , 1985 .

[2] Patrick W. Fowler,et al. A symmetry extension of Maxwell's rule for rigidity of frames , 2000 .

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

[4] T. Tarnai. Finite Mechanismes and the Timer Octagon of Ely Cathedral , 1988 .

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

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

[7] R. Connelly,et al. Mathematics and Tensegrity , 1998, American Scientist.

[8] Robert Connelly,et al. Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks , 1996, SIAM J. Discret. Math..

[9] S. Pellegrino,et al. AN INTRODUCTION TO THE ANALYSIS OF SYMMETRIC STRUCTURES , 1999 .

[10] V. Heine,et al. The Determination of Rigid-Unit Modes as Potential Soft Modes for Displacive Phase Transitions in Framework Crystal Structures , 1993 .

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

[12] M. Dove. Silicates and Soft Modes , 1997 .

[13] Peter Herzig,et al. Point-Group Theory Tables , 1994 .

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