In this paper, we address clustering and collision detection in the clustered shape matching simulation framework for deformable bodies. Our clustering algorithm is "fuzzy," meaning that it gives particles weighted membership in clusters. These weights are a significant extension to the basic clustered shape matching framework as they are used to divide particle mass among the clusters. We explore several weighting schemes and demonstrate that the choice of weighting scheme gives artists additional control over material behavior. Furthermore, by design our clustering algorithm yields spherical clusters, which not only results in sparse weight vectors, but also exceptionally efficient collision geometry. We further enhance this simple collision proxy by intersecting with half-spaces to allow for even better, yet still simple and computationally efficient, collision proxies. The resulting approach is fast, versatile, and simple to implement.
Analytical and experimental results of research efforts on the evaluation of a new stiffened panel concept, integrally formed structures, is described herein. These efforts have been directed toward the compression stability evaluation of the new concept. Comparisons of this concept with conventional Z and integrally machined panel concepts are presented for two materials, namely, 7075-T6 aluminum and 6A1-4V titanium (annealed). These comparisons are based upon compression efficiency (column and crippling) and manufacturing costs. Both experimental and analytical data demonstrate the potential of the integrally formed concept. Its potential, as related to metallic structures reinforced by composite materials, is also discussed. The results indicate that the integrally formed panel is a highly attractive design concept in terms of manufacturing cost, strength, weight and adaptability to meeting failsafe standards and employing new materials of construction.
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