منابع مشابه
SpiderWeb honeycombs
A new class of hierarchical fractal-like honeycombs inspired by the topology of the “spiderweb” were introduced and their small and large deformations were investigated analytically, numerically, and experimentally. Small deformation elasticity results show that the isotropic in-plane elastic moduli (Young’s modulus and Poisson’s ratio) of the structures can be controlled over several orders of...
متن کاملLectures on Central Configurations
These are lecture notes for an advanced course which I gave at the Centre de Recerca Matemàtica near Barcelona in January 2014. The topic is one of my favorites – central configurations of the n-body problem. I gave a course on the same subject in Trieste in 1994 and wrote up some notes (by hand) which can be found on my website [30]. For the new course, I tried to focus on some new ideas and t...
متن کاملSpiderweb honeycombs
Small and large deformation in-plane elastic response of a new class of hierarchical fractal-like honeycombs inspired by the topology of the ''spiderweb'' were investigated through analytical modeling, detailed numerical simulations, and mechanical testing. Small deformation elasticity results show that the isotropic in-plane elastic moduli (Young's modulus and Poisson's ratio) of the structure...
متن کاملCentral Configurations and Mutual Differences
Central configurations are solutions of the equations λmjqj = ∂U ∂qj , where U denotes the potential function and each qj is a point in the d-dimensional Euclidean space E ∼= R, for j = 1, . . . , n. We show that the vector of the mutual differences qij = qi − qj satisfies the equation − λ αq = Pm(Ψ(q)), where Pm is the orthogonal projection over the spaces of 1-cocycles and Ψ(q) = q |q|α+2 . I...
متن کاملExistence of symmetric central configurations
Central configurations have been of great interest over many years, with the earliest examples due to Euler and Lagrange. There are numerous results in the literature demonstrating the existence of central configurations with specific symmetry properties, using slightly different techniques in each. The aim here is to describe a uniform approach by adapting to the symmetric case the well-known ...
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ژورنال
عنوان ژورنال: Qualitative Theory of Dynamical Systems
سال: 2019
ISSN: 1575-5460,1662-3592
DOI: 10.1007/s12346-019-00330-y