P. Ehses, N. Seiberlich, M. Blaimer, F. Breuer, W. R. Bauer, and P. M. Jakob Dept. of Experimental Physics 5, Universität Würzburg, Würzburg, Germany, Department of Radiology, Case Western Reserve University and University Hospitals of Cleveland, Cleveland, Ohio, United States, Research Center Magnetic Resonance Bavaria (MRB), Würzburg, Germany, Dept. of Internal Medicine I, Universität Würzbur...

Let G and H be two graphs. A proper vertex coloring of G is called a dynamic coloring, if for every vertex v with degree at least 2, the neighbors of v receive at least two different colors. The smallest integer k such that G has a dynamic coloring with k colors denoted by χ2(G). We denote the cartesian product of G and H by G¤H. In this paper, we prove that if G and H are two graphs and δ(G) ≥...

In this paper, the control of free-floating space manipulator systems with non-zero angular momentum (NZAM), for both motions in the joint and Cartesian space, is studied. Considering NZAM, dynamic models in the joint and Cartesian space are derived. It is shown that the NZAM has a similar result to the effect of gravity in terrestrial fixed base manipulators. Based on these similarities, the a...

The rapid proliferation of coordinate measuring machines (CMMs) triggered the need for precise and rigorous formulations of each tolerance concept. In this paper, we employ the concept of con guration space of symmetric features to de ne each type of datum features and orientation tolerances. The establishment of datum features and orientation tolerances are formulated in an linear programming ...

Any measurement task requires a fixed reference base (the datum’) from which measurements can be made and calculated. The linac was the datum to which all SLC components were aligned; although this reference existed as a physical object, the actual establishment of the datum and its transferral to datums that were more useful for the SLC installation challenged the technology and computational ...

A numerical investigation of entropy generation in laminar forced convection of gas flow over a backward facing step in a horizontal duct under bleeding condition is presented. For calculation of entropy generation from the second law of thermodynamics in a forced convection flow, the velocity and temperature distributions are primary needed. For this purpose, the three-dimensional Cartesian co...

David Vogan gave programmatic conjectures about the Dixmier's map and he made two conjectures that induction may be independent of the choice of parabolic group used and the sheets of orbit data are conjugated or disjointed. In our previous paper, we gave a geometric version of the parabolic induction of the geometric orbit datum (i.e. orbit covers), and proved Vogan's rst conjecture for geomet...

This paper proposes a scheme for the tolerance specification that uses the features’ function information and mating condition attributes in the assembly to derive an appropriate tolerance specification as per the design intents. The proposed mirror method provides a way to locate the critical components. It helps the user identify functional features and group them into clusters. Temporary DRF...

Red, Edward, "A dynamic optimal trajectory generator for Cartesian Path following" (2000). All Faculty Publications. Paper 589. SUMMARY This paper considers a dynamic and adaptive trajectory generator for negotiating paths using S-curves. Applying constant jerk transitions between the constant acceleration and deceleration periods of the trajectory, the trajectory will optimally transition to t...

A new kind of parallel mechanism machine called the CGT (Cartesian-Guided Tripod) for three-axis machining, CGP (Cartesian-Guided Pentapod) for five-axis machining, and CGH (Cartesian-Guided Hexapod) for six-axis positioning is presented on this paper. The CGT/CGP/CGH has two kinds of functional independent legs: the driving functional leg and the integrated Cartesian guiding/metrology function...