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Works (16)
Updated: April 5th, 2024 03:20
2023 journal article
Discrete Hamiltonian Variational Mechanics and Hamel's Integrators
JOURNAL OF NONLINEAR SCIENCE, 33(2).
author keywords: Exact integrators; Hamel's equations; Nonholonomic systems; Momentum; Symmetry
Source: Web Of Science
Added: January 30, 2023
2023 article
Discrete Hamiltonian Variational Mechanics and Hamel's Integrators (vol 33, 26, 2023)
Gao, S., Shi, D., & Zenkov, D. V. (2023, April). JOURNAL OF NONLINEAR SCIENCE, Vol. 33.
open access via link.springer.com (publisher PDF)
Source: Web Of Science
Added: March 20, 2023
2020 journal article
A Variational Integrator for the Chaplygin-Timoshenko Sleigh
JOURNAL OF NONLINEAR SCIENCE, 30(4), 1381–1419.
author keywords: Hamel's equations; Field theories; Nonholonomic systems; Discrete mechanics; Geometric integration
Source: Web Of Science
Added: July 6, 2020
2020 journal article
Hamel's Formalism for Classical Field Theories
JOURNAL OF NONLINEAR SCIENCE, 30(4), 1307–1353.
author keywords: Hamel's equations; Nonholonomic systems; Momentum; Symmetry
Source: Web Of Science
Added: July 6, 2020
2016 journal article
Hamel's Formalism for Infinite-Dimensional Mechanical Systems
JOURNAL OF NONLINEAR SCIENCE, 27(1), 241–283.
author keywords: Hamel equations; Nonholonomic constraints; Momentum; Symmetry
Source: Web Of Science
Added: August 6, 2018
2016 journal article
ON HAMEL'S EQUATIONS
THEORETICAL AND APPLIED MECHANICS, 43(2), 191–220.
author keywords: infinite-dimensional mechanics; nonholonomic constraints; variational integrators
TL;DR:
This paper reviews recent results on the extension of Hame’s formalism to infinite-dimensional mechanical systems and to variational integrators and considers applications to the dynamics and numerical integration of systems with velocity constraints.
(via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018
2015 article
The Helmholtz Conditions and the Method of Controlled Lagrangians
INVERSE PROBLEM OF THE CALCULUS OF VARIATIONS: LOCAL AND GLOBAL THEORY, pp. 1–29.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 book
The inverse problem of the calculus of variations: Local and global theory
Source: NC State University Libraries
Added: August 6, 2018
2014 journal article
The geometry and integrability of the Suslov problem
JOURNAL OF MATHEMATICAL PHYSICS, 55(11).
Source: Web Of Science
Added: August 6, 2018
2012 journal article
A Fiber Bundle Approach to the Transpositional Relations in Nonholonomic Mechanics
JOURNAL OF NONLINEAR SCIENCE, 22(4), 431–461.
author keywords: Geometric mechanics; Constrained dynamics; Variational principles
Source: Web Of Science
Added: August 6, 2018
2012 conference paper
Hamel's formalism and variational integrators on a sphere
2012 ieee 51st annual conference on decision and control (cdc), 7504–7510.
TL;DR:
Hamel's formalism utilizes redundant coordinates in order to eliminate multiple charts on the configuration space as well as nonphysical artificial singularities induced by local coordinates, while keeping the minimal possible degree of redundancy and avoiding integration of differential-algebraic equations.
(via Semantic Scholar)
Source: NC State University Libraries
Added: August 6, 2018
2011 journal article
Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization
JOURNAL OF GEOMETRY AND PHYSICS, 61(8), 1263–1291.
author keywords: Nonholonomic mechanics; Hamilton-Jacobi theory; Reduction; Hamiltonization
Source: Web Of Science
Added: August 6, 2018
2009 journal article
Quasivelocities and symmetries in non-holonomic systems
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 24(2), 187–222.
author keywords: Hamel equations; momentum; symmetry
UN Sustainable Development Goal Categories
15. Life on Land
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Matching and stabilization of discrete mechanical systems
PAMM, 7(1), 1030603–1030604.
Source: Crossref
Added: August 28, 2020
2005 journal article
Discrete nonholonomic LL systems on Lie groups
NONLINEARITY, 18(5), 2211–2241.
Source: Web Of Science
Added: August 6, 2018
2003 journal article
Invariant measures of nonholonomic flows with internal degrees of freedom
NONLINEARITY, 16(5), 1793–1807.
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
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