The main objective of this paper is to study the Euclidean displacement of a 5-DOF parallel mechanism performing three translation and two independent rotations with identical limb structures-recently revealed by performing the type synthesis-in a higher dimensional projective space, rather than relying on classical recipes, such as Cartesian coordinates and Euler angles. In this paper, Study's...

2014 We report experimental measurements on the structure of invasion fronts obtained by slow vertical injection of liquid, non wetting, Wood metal into non consolidated crushed glass. The geometry of plane cuts of the invasion front both parallel and perpendicular to the flow direction is analysed. The structure of perpendicular cuts is self similar in a length scale range of 1 to 20 with a fr...

This paper presents the dynamic modeling and design of micro motion compliant parallel mechanism with flexible intermediate links and rigid moving platform. Modeling of mechanism is described with closed kinematic loops and the dynamic equations are derived using Lagrange multipliers and Kane’s methods. Euler-Bernoulli beam theory is considered for modeling the intermediate flexible link. Based...

A tree T is labeled when the n vertices are distinguished from one another by names such as v1, v2, , vn. Two labeled trees are considered to be distinct if they have different vertex labels even though they might be isomorphic. According to Cayley’s tree formula, there are n n-2 labeled trees on n vertices. Prüfer used a simple way to prove this formula and demonstrated that there exists a map...

bled re of along llel to ature while ature polar with . The de of Microstructure and magnetic properties of ferromagnetic Co9Pt nanowire arrays electrodeposited into self-assem anodic alumina templates have been investigated. X-ray diffraction shows that as-prepared Co–Pt nanowires a FCC polycrystalline structure. The nanowires with diameter do80nm are mainly of (1 1 1) preferred orientation th...

We use Herbrand’s theorem to give a new proof that Euclid’s parallel axiom is not derivable from the other axioms of first-order Euclidean geometry. Previous proofs involve constructing models of nonEuclidean geometry. This proof uses a very old and basic theorem of logic together with some simple properties of ruler-and-compass constructions to give a short, simple, and intuitively appealing p...

steam reforming integrated with oxidation of methanol was considered with numerical simulation. the parallel micro-channels with circular cross sections were used. because when the catalytic deposited inside the rectangular micro-channels, it fills up the edges. hence, the approximation of a cylindrical channel is appropriate. effect of this changing in cross section was considered and results ...

The adsorption of methyl isocyanide (CH3NC) and acetonitrile (CH3CN) has been studied on Pd(111). Methyl isocyanide adsorbs on Pd(111) at 80 K at low coverages with the isocyanide functionality oriented close to parallel to the surface; the surface-bound species reorients to a geometry in which the isocyanide group is perpendicular to the surface as the coverage increases. Desorbing the excess ...

Geometric problems originating in architecture can lead to interesting research and results in geometry processing, computer aided geometric design, and discrete differential geometry. In this article we survey this development and consider an important problem of this kind: Discrete surfaces (meshes) which admit a multi-layered geometric support structure. It turns out that such meshes can be ...

We propose a novel method to reduce the noise in fan-beam computed tomography (CT) imaging. First, the inverse Radon transform is induced for a family of differential expression of projection function. Second, the diffusion partial differential equation (PDE) is generalized from image space to projection space in parallel-beam geometry. Third, the diffusion PDE is further induced from parallel-...