Journal ArticleDOI
Matrix analysis of statically and kinematically indeterminate frameworks
TLDR
In this paper, the structural mechanics of assemblies of bars and pinjoints, particularly where they are simultaneously statically and kinematically indeterminate, are investigated, and an algorithm is set up which determines the rank of the matrix and the bases for the four subspaces.About:
This article is published in International Journal of Solids and Structures.The article was published on 1986-01-01. It has received 683 citations till now. The article focuses on the topics: Direct stiffness method & Matrix method.read more
Citations
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Journal ArticleDOI
The properties of foams and lattices.
TL;DR: This paper summarizes a little of the way in which the mechanical properties of cellular solids are analysed and illustrates the range of properties offered by alternative configurations.
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Foam topology bending versus stretching dominated architectures
TL;DR: In this paper, the authors investigated the topological criteria that dictate the deformation mechanism of a cellular solid by analysing the rigidity (or otherwise) of pin-jointed frameworks comprising inextensional struts.
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Strong, lightweight, and recoverable three-dimensional ceramic nanolattices
TL;DR: This work demonstrates the creation of structural metamaterials composed of nanoscale ceramics that are simultaneously ultralight, strong, and energy-absorbing and can recover their original shape after compressions in excess of 50% strain.
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Micro-architectured materials: past, present and future
TL;DR: In this article, a historical perspective is given to the expansion of material property space by the introduction of new alloys and new micro-structures and the role of nodal connectivity is emphasized for monoscale and multi-scale microstructures.
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Structural computations with the singular value decomposition of the equilibrium matrix
TL;DR: The Singular Value Decomposition of the equilibrium matrix makes it possible to answer any question of a static, kinematic, or static/kinematic nature for any structural assembly, within a unified computational framework as discussed by the authors.
References
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Journal ArticleDOI
Buckminster Fuller's “Tensegrity” structures and Clerk Maxwell's rules for the construction of stiff frames
TL;DR: In this article, it was shown that a single state of self-stress in the frame has the effect of imparting first-order stiffness to the frame, and it seems from experiments that such states can stiffen a large number of modes.
Book
Matrix Structural Analysis
TL;DR: The terminology, coordinate systems, and fundamental concepts of structural behavior are defined, laying the foundation for the study of more advanced treatments such as the finite element method.
Book
Elastic instability phenomena
TL;DR: In this article, the stability of engineering structures and components under conservative and non-conservative loading is analyzed from the viewpoint of catastrophe phenomena. But the authors focus on the stability under gravity loading.