In this paper, the real-time joint stiffness configuration strategy of a series parallel hybrid 7-DOF (degree freedom) humanoid manipulator with flexible joints in continuous motion is studied. Firstly, considering potential human robot accidental collision, combined safety index (MSI) and body injury thresholds, speed are optimized advance. Secondly, using hyperbolic tangent function for refer...

In order to increase the structural performance of rotary tillage knife, a badger claw toe was selected as bionic prototype and optimization design knife carried out. The similarity between badger’s tiller is 0.7073 by fuzzy algorithm, shape goodness fit final mole’s digging shovel 0.9556 MATLAB. Using 3D modeling software NX10.0, we established three-dimensional model knife. Furthermore, use W...

Abstract. Purpose. The work’s aim is to study the horizontal supports stiffness impact, which simulate conditions for supporting domes upper tier on von Mises trusses' stability. Methodology. A three-hinged truss' deformed scheme under applying a concentrated vertical load in ridge joint was considered. An analytical method used obtain generalized equation stability criterion determine critical...

Learning objects along with their sequencing are being studied to support efficient e-learning systems. They could solve the problem of costly reproduction of learning materials for e-learning systems. The problem arising here is related to the size and complexity of methods used to achieve the appropriate composition of learning objects in order to generate courses with pedagogic efficiency an...

We give elementary and explicit arguments to show that the geodesic ow on the unit tangent bundle of a two dimensional Riemannian manifold with constant negative curvature provides an example of a \fast" dynamo for the magnetic kinematic dynamo equation.

412 NOTICES OF THE AMS VOLUME 51, NUMBER 4 Billiards are dynamical systems. In the simplest case, a “billiard table” is a compact domain Q ⊂ Rd with a piecewise smooth boundary. For a large part of the theory the class of smoothness plays no role. The reader is invited to think about components of the boundary ∂Q as subsets of C∞-submanifolds of codimension 1. The phase space M of the billiard ...

We study the geometric properties of the base manifold for the unit tangent bundle satisfying the η-Einstein condition with the standard contact metric structure. One of the main theorems is that the unit tangent bundle of 4-dimensional Einstein manifold, equipped with the canonical contact metric structure, is ηEinstein manifold if and only if base manifold is the space of constant sectional c...

For these distributions only the leading vehicle in a platoon has its speed measured. The rationale for measuring these is to get an estimate of the desired speed of traffic at the point of measurement. The distributions in Figure 1 are of this type. They are produced by combining the results of a number of surveys at different sites into a representative distribution weighted by the traffic fl...

In this article we give a geometric interpretation of the Hitchin component T (Σ) ⊂ Rep(π1(Σ),PSL4(R)) of a closed oriented surface of genus g ≥ 2. We show that representations in T (Σ) are precisely the holonomy representations of properly convex foliated projective structures on the unit tangent bundle of Σ. From this we also deduce a geometric description of the Hitchin component T (Σ, Sp4(R...

The standard eigenfunctions φλ = ei〈λ,x〉 on flat tori Rn/L have L-norms bounded independently of the eigenvalue. In the case of irrational flat tori, it follows that L2normalized eigenfunctions have uniformly bounded L-norms. Similar bases exist on other flat manifolds. Does this property characterize flat manifolds? We give an affirmative answer for compact Riemannian manifolds with quantum co...