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On the Origins of Hamilton’s Principle(s)

open access: yesEncyclopedia
This entry first provides an overview of the historical, cultural and epistemological background that is key for Hamilton’s positions on mechanics. We consider the investigations on geometrical optics in the 17th and 18th centuries, Euler’s and Lagrange ...
Paolo Bussotti   +2 more
doaj   +1 more source

Finite element simulation of barge impact into a rigid wall

open access: yesAlexandria Engineering Journal, 2014
The forces and locations of inland barge impacts currently control the design specifications for lock walls. This has resulted in a significant increase in the final construction costs of these walls.
H.W. Leheta   +2 more
doaj   +1 more source

Classical analytical mechanics and entropy production [PDF]

open access: yesAmerican Journal of Physics, 2007
The usual canonical Hamiltonian or Lagrangian formalism of classical mechanics applied to macroscopic systems describes energy conserving adiabatic motion. If irreversible diabatic processes are to be included, the law of increasing entropy must also be considered. The notion of entropy then enters into the classical mechanical formalism. The resulting
Allan Widom, Jesse L. Silverberg
openaire   +4 more sources

Non-holonomic constraints: Considerations on the least action principle also from a thermodynamic viewpoint

open access: yesResults in Physics, 2023
For the system with non-holonomic constraints, the principle of least action does not seem to lead to the equations describing the motion, which are consistent with the physical behaviour. Here, some considerations are developed on this fundamental topic
Umberto Lucia, Giulia Grisolia
doaj  

A dinâmica de um elipsoide em rotação

open access: yesRevista Brasileira de Ensino de Física
Um fenômeno físico interessante que contraria nosso senso comum concerne à dinâmica do movimento de um elipsoide em rotação numa superfície não lisa. Um elipsoide em rotação é, por exemplo, um ovo cozido, girando numa mesa de superfície áspera.
Laysa G. Martins, José A.C. Nogales
doaj   +1 more source

An affine framework for analytical mechanics [PDF]

open access: yesBanach Center Publications, 2003
An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.
openaire   +3 more sources

Generalization of Activated‐Complex Theory. III. Vibrational Adiabaticity, Separation of Variables, and a Connection with Analytical Mechanics

open access: yes, 1965
In Part I, activated‐complex theory was extended by including the possibility of a curvilinear reaction coordinate. A separation‐of‐variables approximation was made in the neighborhood of the activated‐complex region of configuration space.
R. Marcus
semanticscholar   +1 more source

Analytic Analysis of a Cam Mechanism

open access: yesProcedia Engineering, 2017
Abstract Cam mechanisms are integral parts of many products. They are used in many applications from combustion engines through milling machines to fitness machines. As suggested by their range of applications, it is an important issue. In this article the configuration of a mechanism, comprising a flat faced follower, which is pressed to the surface
Jan Kampo   +3 more
openaire   +2 more sources

Conditions of equivalence of effects for the solid body from incompressible material

open access: yesMATEC Web of Conferences, 2018
Polemicizing with the existing opinion that modern numerical methods allow to solve practically any problem of mechanics, it should be noted that analytical and experimental methods still are relevant, and a complex of methods leads to development of ...
Agakhanov Elephan   +3 more
doaj   +1 more source

A complex approach to the solution of problems in mechanics of deformable rigid bodies [PDF]

open access: yesE3S Web of Conferences, 2019
There exists an opinion that the modern numerical methods allow to solve practically any problem in mechanics. But it should be noted that both analytical and experimental methods, as before, are urgent, and exactly a complex of methods develops the ...
Agakhanov Murad, Agakhanov Elifkhan
doaj   +1 more source

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