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Tytuł pozycji:

Symbolic Stiffness Optimization of Planar Tensegrity Structures.

Tytuł :
Symbolic Stiffness Optimization of Planar Tensegrity Structures.
Autorzy :
de Jager, Bram
Skelton, Robert E.
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Temat :
MECHANICS (Physics)
DEGREES of freedom
MATHEMATICAL optimization
NUMERICAL analysis
ANALYSIS of variance
TOPOLOGY
Źródło :
Journal of Intelligent Material Systems & Structures. Mar2004, Vol. 15 Issue 3, p181-193. 13p.
Czasopismo naukowe
During the design of mechanical systems one normally exploits numerical analysis and optimization tools. We make a plea for symbolic computation and give an example where structural displacements under load are computed symbolically. Geometrical design parameters enter in this computation. The set of equilibrium conditions, linear in the displacements, but nonlinear in the design parameters, is solved symbolically. The resulting expressions reveal the geometry which yield optimal properties for stiffness or stiffness- to-mass. This technique is applied to a class of repetitive mechanical systems, namely tensegrity structures. A large scale example with 1533 degrees-of-freedom is computed successfully. The results make it possible to optimize the structure with respect to stiffness properties, not only by appropriately selecting (continuous) design parameters, influencing geometry, but also by selecting the number of stages used to build up the structure (a discrete design parameter), influencing topology. [ABSTRACT FROM AUTHOR]
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