Results 21 to 30 of about 190,435 (331)

Plasticity of intermediate mechanics students’ coordinate system choice

Physical Review Special Topics. Physics Education Research, 2008
We investigate the interplay between mathematics and physics resources in intermediate mechanics students. In the mechanics course, the selection and application of coordinate systems is a consistent thread.
Eleanor C. Sayre, Michael C. Wittmann
doaj   +2 more sources

A Geodetic Normal Distribution Map for Long-Term LiDAR Localization on Earth

IEEE Access, 2021
Light detection and ranging (LiDAR) sensors enable a vehicle to estimate a pose by matching their measurements with a point cloud (PCD) map. However, the PCD map structure, widely used in robot fields, has some problems to be applied for mass production ...
Chansoo Kim, Sungjin Cho, Myoungho Sunwoo, Paulo Resende, Benazouz Bradai, Kichun Jo   +5 more
doaj   +1 more source

Physical constraints on the coefficients of Fourier expansions in cylindrical coordinates [PDF]

, 1990
It is demonstrated that (i) the postulate of infinite differentiability in Cartesian coordinates and (ii) the physical assumption of regularity on the axis of a cylindrical coordinate system provide significant simplifying constraints on the coefficients
Bellan, Paul M., Lewis, H. Ralph
core   +1 more source

Waveform propagation in black hole spacetimes: evaluating the quality of numerical solutions [PDF]

, 1997
We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system.
A. M. Abrahams, A. M. Abrahams, A. M. Abrahams, A. M. Abrahams, A. M. Abrahams, A. M. Abrahams, A. M. Abrahams, C. Bona, C. Cutler, C. Gundlach, C. T. Cunningham, C. V. Vishveswara, C. V. Vishveswara, E. Seidel, F. J. Zerilli, F. J. Zerilli, G. B. Cook, G. B. Cook, J. Thornburg, L. Rezzolla, M. A. Scheel, M. A. Scheel, M. A. Scheel, M. Parashar, N. T. Bishop, P. Anninos, P. Anninos, R. H. Price, R. H. Price, R. J. Gleiser, R. L. Marsa, S. A. Teukolsky, S. L. Shapiro, T. Regge, T. W. Baumgarte, T. W. Baumgarte, V. Moncrief, Y. Choquet-Bruhat   +37 more
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A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches [PDF]

, 2020
We propose a two-layer model with two different axes of integration and a well-balanced finite volume method. The purpose is to study submarine avalanches and generated tsunamis by a depth-averaged model with different averaged directions for the fluid ...
Bouchut, François, Delgado Sánchez, Juan Manuel, Fernández Nieto, Enrique Domingo, Mangeney, Anne, Narbona Reina, Gladys   +4 more
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Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids [PDF]

, 1999
We present a new technique for the numerical simulation of axisymmetric systems. This technique avoids the coordinate singularities which often arise when cylindrical or polar-spherical coordinate finite difference grids are used, particularly in ...
Alcubierre M., Anninos P., Anninos P., Anninos P., Arnowitt R., Baumgarte T. W., BERND BRÜGMANN, Bernstein D., Bernstein D., Bona C., Bona C., Bonazzola S., Brandt S., Brandt S., Brandt S., Brügmann B., Camarda K., Camarda K., Choptuik M., DANIEL HOLZ, EDWARD SEIDEL, Eppley K., Evans C., JONATHAN THORNBURG, MIGUEL ALCUBIERRE, RYOJI TAKAHASHI, Seidel E., Shibata M., STEVEN BRANDT, York J., York J. W.   +30 more
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Surface reconstruction with spherical harmonics and its application for single particle crushing simulations

Journal of Rock Mechanics and Geotechnical Engineering, 2022
Particle morphology has great influence on mechanical behaviour and hydro/thermal/electrical conductivities of granular materials. Surface reconstruction and mesh generation are critical to consider realistic particle shapes in various computational ...
Deheng Wei, Budi Zhao, Yixiang Gan
doaj   +1 more source

Pre-stack elastic reverse time migration in tunnels based on cylindrical coordinates

Journal of Rock Mechanics and Geotechnical Engineering, 2022
Seismic forward-prospecting in tunnels is an important step to ensure excavation safety. Nowadays, most advanced imaging techniques in seismic exploration involve calculating the solution of elastic wave equation in a certain coordinate system.
Yuxiao Ren, Jiansen Wang, Zhichao Yang, Xinji Xu, Lei Chen   +4 more
doaj   +1 more source

Gyroscopically Stabilized Robot: Balance and Tracking

International Journal of Advanced Robotic Systems, 2004
The single wheel, gyroscopically stabilized robot - Gyrover, is a dynamically stable but statically unstable, underactuated system. In this paper, based on the dynamic model of the robot, we investigate two classes of nonholonomic constraints associated ...
Yongsheng Ou, Yangsheng Xu
doaj   +1 more source

Expression of GNSS Positioning Error in Terms of Distance

Promet (Zagreb), 2018
This manuscript analyzes two methods for Global Navigation Satellite System positioning error determination for positioning performance assessment by calculation of the distance between the observed and the true positions: one using the Cartesian 3D ...
Mia Filić, Renato Filjar, Marko Ševrović   +2 more
doaj   +1 more source