A Complete Set of Field Equations for the Dynamic Simulation of a Towed Cable System

1993 ◽  
Author(s):  
A. A. Ruffa ◽  
N. Toplosky
Keyword(s):  
Dynamic Simulation ◽  
Field Equations ◽  
Cable System ◽  
Complete Set ◽  
Towed Cable

scholarly journals SPACE–TIME STRUCTURE AND SPINOR GEOMETRY

2008 ◽  
Vol 50 (2) ◽  
pp. 143-176 ◽  
Author(s):  
GEORGE SZEKERES ◽  
LINDSAY PETERS
Keyword(s):  
Cosmological Solution ◽  
Space Time ◽  
Time Structure ◽  
Variation Principle ◽  
Field Equations ◽  
Covering Group ◽  
Space Time Structure ◽  
Spinor Geometry ◽  
Complete Set ◽  
Particle Solution

AbstractThe structure of space–time is examined by extending the standard Lorentz connection group to its complex covering group, operating on a 16-dimensional “spinor” frame. A Hamiltonian variation principle is used to derive the field equations for the spinor connection. The result is a complete set of field equations which allow the sources of the gravitational and electromagnetic fields, and the intrinsic spin of a particle, to appear as a manifestation of the space–time structure. A cosmological solution and a simple particle solution are examined. Further extensions to the connection group are proposed.

Research on Dynamic Simulation of AUV Launching a Towed Navigation Buoyage

2013 ◽  
Vol 433-435 ◽  
pp. 1170-1174
Author(s):  
Guang Pan ◽  
Zhi Dong Yang ◽  
Xiao Xu Du
Keyword(s):  
Angular Momentum ◽  
Boundary Conditions ◽  
Dynamic Simulation ◽  
Numerical Scheme ◽  
Mathematic Model ◽  
Dynamic Equations ◽  
Lumped Mass ◽  
Lumped Mass Method ◽  
Towed Cable ◽  
Undersea Vehicle

A mathematic model was established to simulate the process of AUV (autonomous undersea vehicle) launching a towed buoyage. Based on the lumped mass method and moment theorem and angular momentum theorem, dynamic equations of the cable and the buoyage were developed, respectively. Then the boundary conditions and the numerical scheme to deal with the cable with non-fixed length were presented. Moreover, the process of AUV launching a towed cable was simulated. By using the model, the results show the trajectory of buoyage and shape of towed cable can be well predicted.

scholarly journals Aerial Rendezvous of Small Unmanned Aircraft Using a Passive Towed Cable System

2014 ◽  
Vol 37 (4) ◽  
pp. 1131-1142 ◽  
Author(s):  
Joseph W. Nichols ◽  
Liang Sun ◽  
Randal W. Beard ◽  
Timothy McLain
Keyword(s):  
Unmanned Aircraft ◽  
Cable System ◽  
Towed Cable

scholarly journals Analytic multi-Baryonic solutions in the SU(N)-Skyrme model at finite density

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Sergio L. Cacciatori ◽  
Fabrizio Canfora ◽  
Marcela Lagos ◽  
Federica Muscolino ◽  
Aldo Vera
Keyword(s):  
Total Energy ◽  
Topological Charge ◽  
Analytic Solutions ◽  
Integrable Equation ◽  
Skyrme Model ◽  
Low Density ◽  
Field Equations ◽  
Complete Set ◽  
Baryonic Charge ◽  
Density Regime

Abstract We construct explicit analytic solutions of the SU(N)-Skyrme model (for generic N) suitable to describe different phases of nuclear pasta at finite volume in (3 + 1) dimensions. The first type are crystals of Baryonic tubes (nuclear spaghetti) while the second type are smooth Baryonic layers (nuclear lasagna). Both, the ansatz for the spaghetti and the ansatz for the lasagna phases, reduce the complete set of Skyrme field equations to just one integrable equation for the profile within sectors of arbitrary high topological charge. We compute explicitly the total energy of both configurations in terms of the flavor number, the density and the Baryonic charge. Remarkably, our analytic results allow to compare explicitly the physical properties of nuclear spaghetti and lasagna phases. Our construction shows explicitly that, at lower densities, configurations with N = 2 light flavors are favored while, at higher densities, configurations with N = 3 are favored. Our construction also proves that in the high density regime (but still well within the range of validity of the Skyrme model) the lasagna configurations are favored while at low density the spaghetti configurations are favored. Moreover, the integrability property of the present configurations is not spoiled by the inclusion of the subleading corrections to the Skyrme model arising in the ’t Hooft expansion. Finally, we briefly discuss the large N limit of our configurations.

Constrained path-planning for an aerial-towed cable system

2008 ◽  
Vol 12 (5) ◽  
pp. 347-354 ◽  
Author(s):  
Paul Williams ◽  
Daniel Sgarioto ◽  
Pavel M. Trivailo
Keyword(s):  
Path Planning ◽  
Cable System ◽  
Towed Cable

scholarly journals Metric-Affine Version of Myrzakulov F(R,T,Q,?) Gravity and Cosmological Applications

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 262
Author(s):  
Damianos Iosifidis ◽  
Nurgissa Myrzakulov ◽  
Ratbay Myrzakulov
Keyword(s):  
Gravity Model ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Linear Case ◽  
Field Equations ◽  
Friedmann Equations ◽  
Complete Set

We derive the full set of field equations for the metric-affine version of the Myrzakulov gravity model and also extend this family of theories to a broader one. More specifically, we consider theories whose gravitational Lagrangian is given by F(R,T,Q,T,D) where T, Q are the torsion and non-metricity scalars, T is the trace of the energy-momentum tensor and D the divergence of the dilation current. We then consider the linear case of the aforementioned theory and, assuming a cosmological setup, we obtain the modified Friedmann equations. In addition, focusing on the vanishing non-metricity sector and considering matter coupled to torsion, we obtain the complete set of equations describing the cosmological behavior of this model along with solutions.

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