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An Analytical Mechanics Model for the Rotary Sliding Triboelectric Nanogenerator. [PDF]
Micromachines (Basel)In recent years, global attention towards new energy has surged due to increasing energy demand and environmental concerns. Researchers have intensified their focus on new energy, leading to advancements in technologies like triboelectrification, which ...
Gong G, Zhang M, An D, Li R, Su Y.
europepmc +4 more sources
Analytical Mechanics Allows Novel Vistas on Mathematical Epidemic Dynamics Modelling [PDF]
Math. Mech. Compl. Sys. 8 (2020) 321-343, 2020 This contribution aims to shed light on mathematical epidemic dynamics modelling from the viewpoint of analytical mechanics. To set the stage, it recasts the basic SIR model of mathematical epidemic dynamics in an analytical mechanics setting. Thereby, it considers two possible re-parameterizations of the basic SIR model.
P. Steinmann
arxiv +3 more sources
Analytical Mechanics of Chemical Reactions. IV. Classical Mechanics of Reactions in Two Dimensions [PDF]
, 1968 The natural collision coordinates of Part III are used to treat the analytical mechanics of chemical reactions, AB + C→A + BC. Other than in Part II, the classical analytical mechanics of chemical reactions on a smooth potential surface have not been ...
R. A. Marcus
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The analytical method in soil mechanics [PDF]
Géotechnique, 1974 I should like, first, to thank the British Geotechnical Society for inviting me to deliver the Fourteenth Rankine Lecture, and then to thank Professor Nash not only for his kind introductory remarks but also for his generous support and for the relative freedom I have enjoyed during my time at King's College.
R. E. Gibson
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Lagrangian and Hamiltonian Geometries. Applications to Analytical Mechanics [PDF]
arXiv, 2012 The aim of the present text is twofold: to provide a compendium of Lagrangian and Hamiltonian geometries and to introduce and investigate new analytical Mechanics: Finslerian, Lagrangian and Hamiltonian. The fundamental equations (or evolution equations) of these Mechanics are derived from the variational calculus applied to the integral of action and ...
Miron Radu
arxiv +3 more sources
Analytical Mechanics of Chemical Reactions. III. Natural Collision Coordinates [PDF]
, 1968 The coordinates of earlier papers of this series are extended from linear collisions to reactions in three dimensions. Termed “natural collision coordinates,” they have a unique property of passing smoothly from those suited to reactants to those suited ...
R. A. Marcus
openalex +2 more sources
Is classical mechanics based on Newton's laws or Eulers analytical equations? [PDF]
Condensed Matter Physics, 2005 In an example I illustrate how my picture of physics is enriched due to my frequent conversations with Reinhard Folk. The subject is: Who wrote down the basic equations of motion of classical mechanics for the first time? (To be sure, it was not Newton.)
H.Iro
doaj +2 more sources
Variational aspects of analytical mechanics
The São Paulo Journal of Mathematical Sciences, 2011 In this paper we set out to revisit some basic variational aspects of Analytical Mechanics in one independent variable, in a way that would be most appealing to those who are being introduced to Mechanics while having some background in elementary Functional Analysis.
GORNI, Gianluca, Zampieri G.
openaire +6 more sources
Analytical Mechanics With Quasi-Velocities
, 2021 This paper presents a formulation of Lagrangian dynamics of constrained mechanical systems in terms of reduced quasi-velocities and quasi-forces that can be used for simulation, analysis, and control purposes. In this formulation, Cholesky decomposition of the mass matrix in conjunction with adequate orthogonal matrices are used to define reduced-quasi
Farhad Aghili
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