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Algebraic tensegrity form-finding
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DOI：10.1016/j.ijsolstr.2005.01.014.png)
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This paper concerns the form-finding problem for general and symmetric tensegrity structures with shape constraints. A number of different geometries are treated and several fundamental properties of tensegrity structures are identified that simplify the form-finding problem. The concept of a tensegrity invariance (similarity) transformation is defined and it is shown that tensegrity equilibrium is preserved under affine node position transformations. This result provides the basis for a new tensegrity form-finding tool. The generality of the problem formulation makes it suitable for the automated generation of the equations and their derivatives. State-of-the-art numerical algorithms are applied to solve several example problems. Examples are given for tensegrity plates, shell-class symmetric tensegrity structures and structures generated by applying similarity transformation. (c) 2005 Elsevier Ltd. All rights reserved.
Keyword:
tensegrity
shape constraints
symmetry
nonlinear zero-finding
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IF:
3.8
论文数:
1.2W
被引数:
3.1W
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