A comparative study of the principal methods for the analytical formulation and the numerical solution of the equations of motion of rigid multibody systems
Sign Up to like & getrecommendations! Published in 2018 at "Archive of Applied Mechanics"
DOI: 10.1007/s00419-018-1441-3
Abstract: The goal of this investigation is to perform a comparative analysis of the principal methodologies employed for the analytical formulation and the numerical solution of the equations of motion of rigid multibody mechanical systems. In… read more here.
Keywords: analytical formulation; formulation; equations motion; multibody ... See more keywords
Note on the trapped motion in ER3BP at the vicinity of barycenter
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DOI: 10.1007/s00419-020-01801-4
Abstract: In this paper, we present a new approach for solving equations of motion for the trapped motion of the infinitesimal mass m in case of the elliptic restricted problem of three bodies (ER3BP) (primaries $$M_\mathrm{Sun}$$… read more here.
Keywords: mathrm planet; motion; equations motion; trapped motion ... See more keywords
Phase Portraits of Dynamical Equations of Motion of a Rigid Body in a Resistive Medium
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DOI: 10.1007/s10958-018-3935-5
Abstract: We consider a mathematical model of the influence of a medium on a rigid body with a specific shape of its surface. In this model, we take into account the additional dependence of the moment… read more here.
Keywords: rigid body; medium; equations motion; phase portraits ... See more keywords
On the relevance of inertia related terms in the equations of motion of a flexible body in the floating frame of reference formulation
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DOI: 10.1007/s11044-018-09662-0
Abstract: The floating frame of reference formulation is an established method for the description of linear elastic bodies within multibody dynamics. An exact derivation leads to rather complex equations of motion. In order to reduce the… read more here.
Keywords: floating frame; reference formulation; equations motion; frame reference ... See more keywords
Soliton solutions in two-dimensional Lorentz-violating higher derivative scalar theory
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DOI: 10.1016/j.aop.2018.07.025
Abstract: This paper shows a new approach to obtain analytical topological defects of a 2D Myers-Pospelov Lagrangian for two scalar fields. Such a Lagrangian presents higher-order kinetic terms, which lead us to equations of motion which… read more here.
Keywords: methodology; theory; solutions two; two dimensional ... See more keywords
Fluid dynamics on logarithmic lattices
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DOI: 10.1088/1361-6544/abef73
Abstract: Open problems in fluid dynamics, such as the existence of finite-time singularities (blowup), explanation of intermittency in developed turbulence, etc, are related to multi-scale structure and symmetries of underlying equations of motion. Significantly simplified equations… read more here.
Keywords: logarithmic lattices; equations motion; dynamics logarithmic; fluid dynamics ... See more keywords
Novel derivation of equations of motion for a body falling with resistance
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DOI: 10.1088/1361-6552/ac35b2
Abstract: The motion equations of a body under gravity and resistance linearly dependent on speed are usually analysed by solving differential equations. In this paper we report a derivation not explicitly involving differential equations but instead… read more here.
Keywords: motion; equations motion; derivation equations; derivation ... See more keywords
Quantization of the Hamilton equations of motion
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DOI: 10.1088/1402-4896/adc047
Abstract: One of the fundamental problems in quantum mechanics is finding the correct quantum image of a classical observable that would correspond to experimental measurements. We investigate for the appropriate quantization rule that would yield a… read more here.
Keywords: differentiation; quantization; hamilton equations; equations motion ... See more keywords
Input-output hierarchical equations of motion
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DOI: 10.1103/4q4p-z14x
Abstract: We derive an extended version of the hierarchical equations of motion (HEOM) to compute output physical properties of a bosonic environment, which is allowed to be initially prepared at an earlier time in a non-Gaussian… read more here.
Keywords: input; hierarchical equations; equations motion; input output ... See more keywords
Demystifying autoparallels in alternative gravity
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DOI: 10.1103/physrevd.104.044031
Abstract: The equations of motion of test bodies in relativistic gravity are tightly linked to the conservation laws of the theory [1–3]. The explicit derivation of these equations has been intertwined with the development of approximation… read more here.
Keywords: demystifying autoparallels; alternative gravity; field; equations motion ... See more keywords
Properties of multiple D0-brane systems: 11D origin, equations of motion, and their solutions
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DOI: 10.1103/physrevd.107.086006
Abstract: We study the properties of 10D multiple D0-brane (mD0) system described by recently proposed complete supersymmetric and $\kappa$-symmetric nonlinear action which includes an arbitrary positive definite function ${\cal M}({\cal H})$ of the relative motion Hamiltonian… read more here.
Keywords: system; cal cal; relative motion; motion ... See more keywords