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Browsing Matematik / Mathematics by Subject "Mechanics"

Now showing items 1-4 of 4

Dual Lorentzian spherical motions and dual Euler-Savary formula

Güngör, Mehmet Ali; Ersoy, Soley; Tosun, Murat (GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2009)

In this paper, defining one-parameter dual Lorentzian motion in three-dimensional dual Lorentzian space D(1)(3) and we have obtained the relations between the absolute, relative and sliding velocities of these motions. In ...
On instantaneous invariants of hyperbolic planes

Abdullah Inalcik; Ersoy, Soley; Hellmuth Stachel (SAGE PUBLICATIONS LTD, 2017)

In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflection curve, circling-point curve, cubic of twice stationary curvature curve, and cubic of thrice stationary curve. We also ...
On the one-parameter Lorentzian spherical motions and Euler-Savary formula

Tosun, Murat; Güngör, Mehmet Ali; Okur, İbrahim (ASME, 2007)

In this paper we have introduced one-parameter Lorentzian spherical motion. In addition to that, we have given the relations between the absolute, relative, and sliding velocities of these motions. Furthermore, the relations ...
The stress field problem for a pre-stressed plate-strip with finite length under the action of arbitrary time-harmonic forces

Eröz, Mustafa (ELSEVIER SCIENCE INC, 2012)

In the framework of the three-dimensional linearized theory of elastodynamics the finite element modeling of the stress field problem for the pre-stressed plate-strip with finite length resting on a rigid foundation under ...