Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: tensor krzywizny

Sortuj według:

Ogranicz wyniki do:

Multi-scale curvature tensor analysis of machined surfaces

Bartkowiak T., Brown C.

Archives of Mechanical Technology and Materials

2016

Vol. 36

44--50

This paper demonstrates the use of multi-scale curvature analysis, an areal new surface characterization technique for better understanding topographies, for analyzing surfaces created by conventional machining and grinding. Curvature, like slope and area, changes with scale of observation, or calculation, on irregular surfaces, therefore it can be used for multi-scale geometric analysis. Curvatures on a surface should be indicative of topographically dependent behavior of a surface and curvatures are, in turn, influenced by the processing and use of the surface. Curvatures have not been well characterized previously. Curvature has been used for calculations in contact mechanics and for the evaluation of cutting edges. In the current work two parts were machined and then one of them was ground. The surface topographies were measured with a scanning laser confocal microscope. Plots of curvatures as a function of position and scale are presented, and the means and standard deviations of principal curvatures are plotted as a function of scale. Statistical analyses show the relations between curvature and these two manufacturing processes at multiple scales.

On the existence of affine connections with recurrent projective curvature

Olszak Z., Słuka K.

Demonstratio Mathematica

2000

Vol. 33, nr 1

171-179

We find new examples of locally equiaffine connections with parallel or recurrent projective curvature tensor. Certain applications in the theory of totally geodesic affine immersions are also discussed.

A variational formula for the norm of the Ahlfors operator

Frydrych M., Kalina J.

Bulletin of the Polish Academy of Sciences. Mathematics

2000

Vol. 48, no 2

215-220

We consider Riemannian submersion and associated family of Ahlfors operators acting on the fibers. We calculate a variation of the square norm of the image of Ahlfors operators on some special vector field tangent to the fibers. This variation give rise to estimate the quasiconformal deformation by means of geometrical quantities.