the aim of this paper is to show the importance of analytic hyperbolic geometry introduced in [9]. in [1], ungar and chen showed that the algebra of the group sl(2,c) naturally leads to the notion of gyrogroups and gyrovector spaces for dealing with the lorentz group and its underlying hyperbolic geometry. they defined the chen addition and then chen model of hyperbolic geometry. in this paper,...

Material properties and geometry are two important design parameters which their effects should be considered in a crashworthiness analysis. In this paper, the axial impact of metallic and hybrid energy absorbing thin-walled tubes with poly-gonal cross-section is simulated using LS-DYNA software. The combined effects of changing the geometry and material properties on the mass specific energ...

This paper presents the preliminary results of an extensive parametric study on seismic response of two-dimensional semi-sine shaped hills to vertically propagating incident P- and SV-waves. Clear perspectives of the induced diffraction and amplification patterns are given by investigation of time-domain and frequency-domain responses. It is shown that site geometry, wave characteristics , and ...

This study investigated the effect of manufacturing parameters on quality material extrusion additive (MEAM), specifically focusing microscale geometry lattice structures built up by discrete extruded filaments. The height, printing speed and width were investigated. Square grid structures, which can be precisely characterized, used to develop fundamental understanding that translated more comp...

In this paper, the different Ti:Sapphire crystal configurations of final amplifiers, depending on Chirped Pulse Amplification laser system parameters, such as repetition rates and pulse energy, are discussed. Restrictions placed Ti:Sa amplifiers with a high rate The these systems is limited due to overheating, which leads stress fracturing or significant beam distortion. heating density thresho...