Results 111 to 120 of about 26,734 (241)
Euler–Lagrange equations for the spectral element shallow water system, Ocean Model [PDF]
We present the derivation of the discrete Euler-Lagrange equations for an inverse spectral element ocean model based on the shallow water equations. We show that the discrete Euler-Lagrange equations can be obtained from the continuous Euler-Lagrange ...
J C Levin +4 more
core
Dynamical equations of multibody systems on Lie groups
The Euler–Poinaré principle is a reduced Hamilton’s principle under Lie group framework. In this article, it is applied to derive a hybrid set of dynamical equations of rigid multibody systems, which include four parts: the classical Euler–Lagrange ...
Wenjie Yu, Zhenkuan Pan
doaj +1 more source
On the motion of a heavy bead sliding on a rotating wire – Fractional treatment
In this work, we consider the motion of a heavy particle sliding on a rotating wire. The first step carried for this model is writing the classical and fractional Lagrangian. Secondly, the fractional Hamilton’s equations (FHEs) of motion of the system is
Dumitru Baleanu +2 more
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A Data‐Driven Multiscale Scheme for Anisotropic Finite Strain Magneto‐Elasticity
ABSTRACT In this work, we develop a neural network‐based, data‐driven, decoupled multiscale scheme for the modeling of structured magnetically soft magnetorheological elastomers (MREs). On the microscale, sampled magneto‐mechanical loading paths are imposed on a representative volume element containing spherical particles and an elastomer matrix, and ...
Heinrich T. Roth +4 more
wiley +1 more source
Abstract Euler Diagram Isomorphism [PDF]
Euler diagrams are widely used for information visualization and form the basis of a variety of formal languages that are used to express constraints in computing.
Andrew Fish +6 more
core
On the relation between the Feynman paradox and the Aharonov–Bohm effects
The magnetic Aharonov–Bohm (A–B) effect occurs when a point charge interacts with a line of magnetic flux, while its reciprocal, the Aharonov–Casher (A–C) effect, occurs when a magnetic moment interacts with a line of charge.
Scot McGregor +3 more
doaj +1 more source
Field theory and weak Euler-Lagrange equation for classical particle-field systems [PDF]
Hong Qin +2 more
openalex +1 more source
Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov
ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon +5 more
wiley +1 more source
Comprehensive Survey of PID Controller Design for the Inverted Pendulum
The survey shows the detailed PID controller design how to stabilize the inclination angle as well as the horizontal movement of an inverted pendulum on a cart system step by step.
Miklós Kuczmann
doaj +1 more source
Nematic Liquid Crystal Locking Menisci
We study meniscus driven locking of point defects of nematic liquid crystals confined within a cylindrical tube with free ends. Curvilinear coordinate system is introduced in order to focus on the phenomena of both (convex and concave) types of menisci ...
Milan Svetec, Mitja Slavinec
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