The Theory of Pseudo-rigid Bodies: Springer Tracts in Natural Philosophy, cartea 33
Autor Harley Cohen, Robert G. Muncasteren Limba Engleză Paperback – 14 dec 2011
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Specificații
ISBN-13: 9781461395911
ISBN-10: 1461395917
Pagini: 200
Ilustrații: X, 183 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of the original 1st ed. 1988
Editura: Springer
Colecția Springer
Seria Springer Tracts in Natural Philosophy
Locul publicării:New York, NY, United States
ISBN-10: 1461395917
Pagini: 200
Ilustrații: X, 183 p.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.29 kg
Ediția:Softcover reprint of the original 1st ed. 1988
Editura: Springer
Colecția Springer
Seria Springer Tracts in Natural Philosophy
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1 Prolegomena to the Theory.- (i) Historical Perspectives.- (ii) Toward the Rational Mechanics of Pseudo-rigid Bodies.- (iii) Toward the Study of Cross-theory Comparison.- 2 Foundations of the Theory of Pseudo-rigid Bodies.- (i) Event Worlds and Body Manifolds.- (ii) Kinematics.- (iii) Equations of Balance.- (iv) Forces and Force-moments.- (v) Rigid-body Mechanics: The Principle of Balance of Angular Momentum.- (vi) Changes of Frame.- (vii) Constitutive Relations.- 3 Consistency with Other Continuum Theories.- (i) The General Notion of Consistency.- (ii) Elasticity Theory. Subtheories.- (iii) The Subtheory of Pseudo-rigid Motions.- (iv) Symmetry. Uniqueness.- (v) Approximation of the Coarsifier.- 4 Explicit Motions of Pseudo-rigid Bodies.- (i) Rigid Motions.- (ii) Roto-deformations.- (iii) Pure Stretch Motions.- (iv) Shearing Motions.- (v) Plane Motions.- 5 Variational Formulation of the Theory.- (i) Lagrangian and Hamiltonian Formulations.- (ii) Symmetry and Conserved Quantities.- (iii) The Stability of Steady Motions: A Special Case.- (iv) Ignorable Coordinates: Remarks on the General Analysis of Stability.- 6 Approximations for Almost-rigid Bodies.- (i) The Problem of Transition to Rigidity.- (ii) Derivation of the Asymptotic Expansion.- (iii) Proof of the Spectral Theorem.- (iv) Special Results for Axially Symmetric Bodies.- (v) Gyroscopic Motions.- References.