We define the manifold of configurations to be quotient set k points in Euclidean space identified under congruence, and prove that compact subsets ℝd, d≥2, large Hausdorff dimension have a non-null them. Our method simplifies previous work achieves better dimensional threshold.

In Section 2, after giving the basic definitions and some elementary consequences, we introduce two fundamental algebraic structures associated with a coherent configuration, namely, the boolean algebra of admissable relations and the adjacency ring. The action of a group on a finite set induces the structure of a coherent configuration in the set, and in this situations, which we refer to as t...

We describe a new way to construct finite geometric objects. For every k we obtain a symmetric configuration E(k−1) with k points on a line. In particular, we have a constructive existence proof for such configurations. The method is purely geometric. It also produces interesting periodic matrices. Mathematisches Institut, Universität Tübigen, Deutschland E-mail address: christoph.hering@uni-tu...

In structural design, the stiffest structure has been considered optimal. However, if the flexibility is implemented in some appropriate portions, a flexible structure provides higher performance than the stiffest structure. Furthermore, since flexible portions can provide a mechanical function to the structure, a new breed of jointless structural mechanisms known as compliant mechanism can be ...

This paper presents a coordinated effort to model, test and validate the structural response of complex aerospace rib-skin structures in both undamaged and damaged configurations. Coordinated experimental and finite element model results are presented for cylindrical rib-skin structures each approximately nine foot long, and thirty inches in diameter. The test articles considered are of riveted...

This paper presents experimental results of both quasi-static compression and low-velocity impact behavior for tri-axial bio-composite structural panels using a spherical load head. Panels were made having different core and face configurations. The results showed that panels made having either carbon fiber fabric composite faces or a foam-filled core had significantly improved impact and compr...