Discrete and Continuum Dynamics of Reacting and Interacting Individuals

2014 ◽  
pp. 119-156
Author(s):  
Francesca Tesser ◽  
Charles R. Doering
Keyword(s):  
Continuum Dynamics

Mixed convolved action principles in linear continuum dynamics

2015 ◽  
Vol 226 (12) ◽  
pp. 4111-4137 ◽  
Author(s):  
Gary F. Dargush ◽  
Bradley T. Darrall ◽  
Jinkyu Kim ◽  
Georgios Apostolakis
Keyword(s):  
Continuum Dynamics

scholarly journals Continuum dynamics and the electromagnetic field in the scalar ether theory of gravitation

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 395-409 ◽  
Author(s):  
Mayeul Arminjon
Keyword(s):  
Gravitational Field ◽  
Lorentz Force ◽  
Maxwell Equations ◽  
Gravitational Force ◽  
Continuous Medium ◽  
Pressure Force ◽  
Local Charge ◽  
Theory Of Gravitation ◽  
External Forces ◽  
Continuum Dynamics

AbstractAn alternative, scalar theory of gravitation has been proposed, based on a mechanism/interpretation of gravity as being a pressure force: Archimedes’ thrust. In it, the gravitational field affects the physical standards of space and time, but motion is governed by an extension of the relativistic form of Newton’s second law. This implies Einstein’s geodesic motion for free particles only in a constant gravitational field. In this work, equations governing the dynamics of a continuous medium subjected to gravitational and non-gravitational forces are derived. Then, the case where the non-gravitational force is the Lorentz force is investigated. The gravitational modification of Maxwell’s equations is obtained under the requirement that a charged continuous medium, subjected to the Lorentz force, obeys the equation derived for continuum dynamics under external forces. These Maxwell equations are shown to be consistent with the dynamics of a “free” photon, and thus with the geometrical optics of this theory. However, these equations do not imply local charge conservation, except for a constant gravitational field.

On continuum dynamics

2009 ◽  
Vol 50 (10) ◽  
pp. 102903 ◽  
Author(s):  
Giovanni Romano ◽  
Raffaele Barretta ◽  
Marina Diaco
Keyword(s):  
Continuum Dynamics

Mesoscopic continuum dynamics

2012 ◽  
pp. 297-304
Author(s):  
Herman J. C. Berendsen
Keyword(s):  
Continuum Dynamics

A Nonlinear State-Space Model of a Resonating Single Fiber Scanner for Tracking Control: Theory and Experiment

2004 ◽  
Vol 126 (1) ◽  
pp. 88-101 ◽  
Author(s):  
Quinn Y. J. Smithwick ◽  
Per G. Reinhall ◽  
Juris Vagners ◽  
Eric J. Seibel
Keyword(s):  
State Space ◽  
State Space Model ◽  
Single Fiber ◽  
Model Parameters ◽  
Experimental Frequency ◽  
Centripetal Acceleration ◽  
Frequency Responses ◽  
Continuum Dynamics ◽  
Nonlinear Continuum ◽  
Nonlinear State

A nonlinear state-space dynamic model of a resonating single fiber scanner is developed to understand scan distortion—jump, whirl, amplitude dependent amplitude and phase shifts—and as the basis for controllers to remove those distortions. The non-planar nonlinear continuum dynamics of a resonating base excited cantilever are reduced to a set of state-space coupled Duffing equations with centripetal acceleration. Methods for experimentally determining the model parameters are developed. The analytic frequency responses for raster, spiral and propeller scans are derived, and match experimental frequency responses for all three scan patterns, for various amplitudes, and using the same model parameters.

Adaptive spacetime method using Riemann jump conditions for coupled atomistic–continuum dynamics

2010 ◽  
Vol 229 (6) ◽  
pp. 2061-2092 ◽  
Author(s):  
B. Kraczek ◽  
S.T. Miller ◽  
R.B. Haber ◽  
D.D. Johnson
Keyword(s):  
Jump Conditions ◽  
Continuum Dynamics

Eulerian Bond Graphs for Fluid Continuum Dynamics Modeling

1996 ◽  
Vol 118 (1) ◽  
pp. 48-57 ◽  
Author(s):  
E. P. Fahrenthold ◽  
M. Venkataraman
Keyword(s):  
Compressible Flows ◽  
System Modeling ◽  
General Purpose ◽  
Dynamics Modeling ◽  
Modeling Tools ◽  
Element Discretization ◽  
Inertia Effects ◽  
Flow Geometry ◽  
Viscous Compressible Flows ◽  
Continuum Dynamics

The development of high resolution, general purpose models of viscous, compressible flows is extremely difficult with existing system dynamics modeling tools. Published work admits to significant limitations, with regards to the treatment of flow geometry, inertia effects, or mass and energy convection. Combining a finite element discretization scheme with a bond graph based model formulation procedure provides a very general purpose tool for continuum fluid system modeling.

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