An Analytical Mechanics Model for the Rotary Sliding Triboelectric Nanogenerator [PDF]
MicromachinesIn 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 ...
Guangping Gong +4 more
doaj +4 more sources
On the Analytical Mechanics of Chemical Reactions. Quantum Mechanics of Linear Collisions [PDF]
, 1966 The analytical quantum mechanics of chemically reactive linear collisions is treated in the vibrationally near‐adiabatic approximation. The "reaction coordinate" in this approximation is found to be the curve on which the classical local vibrational and ...
Marcus, R. A.
core +4 more sources
Variational aspects of analytical mechanics [PDF]
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 ...
Gorni, Gianluca, Zampieri, Gaetano
core +8 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
openalex +2 more sources
Some Open Points in Nonextensive Statistical Mechanics [PDF]
, 2011 We present and discuss a list of some interesting points that are currently open in nonextensive statistical mechanics. Their analytical, numerical, experimental or observational advancement would naturally be very welcome.
Biro T. S. +17 more
arxiv +3 more sources
Analytical Mechanics in Stochastic Dynamics: Most Probable Path, Large-Deviation Rate Function and Hamilton-Jacobi Equation [PDF]
, 2012 Analytical (rational) mechanics is the mathematical structure of Newtonian deterministic dynamics developed by D'Alembert, Langrange, Hamilton, Jacobi, and many other luminaries of applied mathematics.
Ge, Hao, Qian, Hong
core +2 more sources
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
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
openalex +3 more sources