The lower limit of the first frequency of natural vibrations externally statically indeterminate truss: analytical solution
Mikhail Kirsanov,Alexander Shirokov +1 more
- Vol. 264, pp 02034
TLDR
In this article, a statically determinate planar truss with two additional supports duplicating the main ones is proposed, and the formula for the dependence of the lower estimate of the first natural frequency on the number of panels is obtained.Abstract:
A scheme of a statically determinate planar truss with two additional supports duplicating the main ones is proposed. The formula for the dependence of the lower estimate of the first natural frequency on the number of panels is obtained. The solution is compared with the numerical one. Determination of the forces in the rods by the method of cutting out the nodes and with all the transformations performed in the Maple computer mathematics system. The high accuracy of the result is shown with a large number of panels.read more
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References
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Journal ArticleDOI
The structural performance of the periodic truss
R.G. Hutchinson,Norman A. Fleck +1 more
TL;DR: In this paper, the structural mechanics of the periodic pin-jointed truss by applying Bloch's theorem were analyzed using matrix methods of linear algebra, and collapse mechanisms associated with uniform macroscopic straining were determined from the four fundamental subspaces of the kinematic and equilibrium matrix.
Journal Article
Microarchitectured cellular solids - the hunt for statically determinate periodic trusses - Plenary lecture presented at the 75th Annual GAMM Conference, Dresden, Germany, 22-26 March 2004
R.G. Hutchinson,Norman A. Fleck +1 more
TL;DR: In this paper, a structural analysis of the planar Kagome truss is presented, and the in-plane stiffness of the 2D Kagome grid and the bending stiffness of 3D KDLG are determined for elastic members.
Journal ArticleDOI
Microarchitectured cellular solids – the hunt for statically determinate periodic trusses
R.G. Hutchinson,Norman A. Fleck +1 more
TL;DR: In this paper, the in-plane stiffness of the 2D Kagome grid and the bending stiffness of 3D KDLG are determined for elastic members, and an alternative, statically determinate, double-layer grid is derived from the octet truss, and is referred to as the modified octet grid (MOT).
Journal ArticleDOI
Enhancing seismic resilience using truss girder frame systems with supplemental devices
TL;DR: In this article, an innovative configuration of a special truss Girder Frame (TGF) is proposed to facilitate the use of supplemental devices, such as buckling Restrained Braces (BRBs) and re-centering devices.
Journal ArticleDOI
Cyclical parthenogenesis algorithm for layout optimization of truss structures with frequency constraints
Ali Kaveh,A. Zolghadr +1 more
TL;DR: A newly developed metaheuristic method called the cyclical parthenogenesis algorithm (CPA) is used for layout optimization of truss structures subjected to frequency constraints, which imitates the reproductive and social behaviour of some animal species which alternate between sexual and asexual reproduction.