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Basics of Analytical Mechanics
2004From a dynamical perspective any material system can be regarded as a collection of material particles. One refers to the relationships between the quantities determining the position and the velocity of the system of particles as constraints. These relationships must be satisfied regardless of the initial conditions and the forces acting on the system.
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An Analytical Investigation of the Honing Mechanism
Journal of Engineering for Industry, 1984The cutting mechanism in the honing operation is analyzed theoretically, assuming that one stick corresponds to a single point tool with a long cutting edge. As a result, an evaluating function to present the overall severity of honing conditions and an equation to calculate the specific cutting force are derived. Moreover, some experiments are carried
Takashi Ueda, Akira Yamamoto
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An analytical appraisal of energy transduction mechanisms
Journal of Bioenergetics, 1972The nature of mechanisms and energy profiles for reactions in biological systems is examined. Simple molecular and complex “phase” intermediates are described. The conceptual problems in energy transduction, related to “phase” intermediates are made evident by reference to different facets of the problem—stereochemical changes, charge fluxes, E ...
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A contribution to the analytical mechanics of the disturbed motion
Bulletin de la Classe des sciences, 1972Djukic Djordje. A contribution to the analytical mechanics of the disturbed motion. In: Bulletin de la Classe des sciences, tome 58, 1972. pp. 124-142.
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Analytical Mechanics and Integrable Systems
2012Analytical mechanics is the basic tool we will utilize through the whole book. The aim of this chapter is to succinctly introduce and define some basic concepts, such as Hamilton equations, symplectic (i.e., canonical) transformations, symmetry and reduction, integrable systems, and action-angle variables.
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Applications of the Concepts of Analytical Mechanics
2014This chapter provides a number of important examples of application of the principles of Analytical Mechanics. The examples are chosen with reference to the applications to Quantum Mechanics shown in later chapters. The first sections treat the problems of the square well, linear harmonic oscillator, and central motion.
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Symplectic geometry and analytical mechanics
, 1987P. Libermann, C. Marle
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