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Review of Analytical Mechanics
2017This chapter treats simple structural members based on two different analytical approaches. On the one hand based on fundamental equations of continuum mechanics, i.e., the kinematics, the equilibrium and the constitutive equation, the describing partial differential equations are provided, including their general solution based on constants of ...
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THE ANALYTICAL FOUNDATIONS OF CELESTIAL MECHANICS [PDF]
Nature, 1942 FROM the beginning of civilization one need must make itself felt, namely, for some form of calendar. In turn, this gives rise to the primitive study of astronomy, involving some knowledge of the sun and the moon. When the planets are added in the next stage, the astronomer needs an ephemeris or almanac ; the modern Nautical Almanac, with its ...
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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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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 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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Analytical woven fabric mechanics [PDF]
International Journal of Clothing Science and Technology, 2002 The paper briefly reviews the results of previously published analytical studies of the mechanics of plain woven fabrics, and shows how these can be used to determine how the various properties (extension, bending, shear) are related to each other.
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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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