The stiffness of prestressed frameworks: A unifying approach

By Simon D. Guest. 2006

288 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/40595de6299bd3da34e3f958c31e8ef39eee6e64

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Citations in the corpus

Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach (2013, background): “It is stabilized by introducing prestresses, i.e., prestress stable (Guest 2006; Connelly and Whiteley 1996).”
Initial self-stress design of tensegrity grid structures (2010, methodology): “D is not positive semi-definite, the proposed initial selfstress design procedure will evaluate the tangent stiffness matrix of the tensegrity grid structure which is given in [25– 27] as follows:”
Effective insights into the geometric stability of symmetric skeletal structures under symmetric variations (2015, methodology): “The criterion is equivalent to the positive definiteness of the quadratic form of the geometric stiffness matrix G K (Guest, 2006; Ohsaki and Zhang, 2006) satisfying”
Topology design of tensegrity structures via mixed integer programming (2010, unknown): “it is prestress stable (Guest, 2006; Connelly and Whiteley, 1996), because the stress matrix of this tensegrity is positive definite (after removing the freedom of rigid-body motions).”
Tensegrity frameworks: Static analysis review. (2008, methodology): “In the literature it is possible to find both, a mathematical definition, [19], or a more intuitive physical derivation [32].”
Dynamic behavior and vibration control of a tensegrity structure (2010, methodology): “The tangent stiffness matrix KT is decomposed into the linear stiffness matrix KE, commonly used for small-deformation truss analyses, and the geometrical stiffness matrix KG induced by self-stresses (Guest 2006). u GET KKK += [Eq.”
Advanced form-finding of tensegrity structures (2010, methodology): “Additionally, the proposed form-finding procedure will evaluate the tangent stiffness matrix of the tensegrity structure which is given in [24,23,26,9] as follows: KT 1⁄4 KE þ KG; ð31Þ where KE 1⁄4 Adiag ea l A ; ð32aÞ KG 1⁄4 I3 D ð32bÞ in which KE is the linear stiffness matrix, KG is the geometric”
Symmetric prismatic tensegrity structures: Part I. Configuration and stability (2009, methodology): “stifiness matrix depends upon both the material properties of the members, and the level of self-stress ( Guest, 2006 ) (note that we are not considering any concept of higherorder stability, as discussed in Connelly and Servatius (1994)).”
The stiffness of tensegrity structures (2011, methodology): “The basic stiffness formulation that will be used is described in Guest (2006); an identical formulation with an alternative notation is described in Skelton and de Oliveira (2009).”
On zero stiffness (2014, methodology): “For example, the neutrally stable shell structure described by Guest et al.25 was best understood by means of the parallel with the postbuckling behaviour of a bi-metallic disc subject to a change in temperature28.”
Zero stiffness tensegrity structures (2007, methodology): “The formulation used in this paper is derived by Guest (2006); it is written as: Kt ¼ K̂þ ~X ¼ AĜAT þ ~X ð6Þ where ~X is the stress matrix described earlier and K̂ is the modified material stiffness matrix.”