Micropolar theory of shells and plates / / Sergey A. Ambartsumian

• Autore: Ambart︠s︡umi︠a︡n S. A (Sergeĭ Aleksandrovich)
• Pubblicazione: Cham, Switzerland : , : Springer, , [2021]; ©2021
• Descrizione fisica: 1 online resource (187 pages)
• Disciplina: 624.17762
• Soggetto topico: Plates (Engineering); Shells (Engineering); Mechanical engineering
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface -- Preface to the Second Edition -- References -- Introduction -- References -- Contents -- 1 Main Equations and Relations of the Theory of Non-symmetric Elasticity -- 1.1 Preliminary Remarks -- 1.2 Equations of Motion -- 1.3 Defining Equations or the Law of Small Elastic Deformations -- 1.4 Compatibility Equations -- 1.5 Orthogonal Curvilinear System of Coordinates -- 1.6 Main Equations and Correlations in the Case of the Geometrically Nonlinear Problem -- References -- 2 Bending of Plates -- 2.1 Remarks -- 2.2 Initial Assumptions and Hypothesis -- 2.3 Stresses, Internal Forces, and Momenta -- 2.4 Averaged Equations of Motion and Boundary Conditions -- 2.5 Another Example of a Bending Equation of a Pate at X pm = 0,Y pm = 0 -- 2.6 Theory of Bending of a Plate at α= 0 -- 2.7 Axisymmetric Bending of a Plate -- 2.8 Few Remarks on the New Generalizing Elasticity Constant -- References -- 3 Some Trivial Problems of Plates -- 3.1 Remarks -- 3.2 Bending of a Plate Over a Cylindrical Surface -- 3.3 A Sample Problem of Bending of a Hinged Rectangular Plate Under Normally Applied Sinusoidal Load -- 3.4 Bending of a Hinged Rectangular Plate Under Arbitrary, Normally Applied Load -- 3.5 Bending of a Semi-infinite Plate by a Load Distributed Along the Edge -- 3.6 On the Problem of Axisymmetric Bending of a Circular Plate -- 3.7 Yet Another Problem of the Statical Stability of a Plate -- 3.8 Free Vibrations of a Plate: One-Dimensional Problem -- 3.9 Free Vibrations of a Rectangular Plate Hinged Along the Entire Contour -- References -- 4 Membrane Theory of Plates -- 4.1 Remarks -- 4.2 Initial Statements and Hypothesis -- 4.3 Stresses, Internal Forces, and Momenta -- 4.4 Averaged Equations of Motion and Boundary Conditions -- 4.5 Cylindrical Shell -- 4.6 Some Problems of a Circular Cylindrical Shell. ; 4.7 Axisymmetrically Loaded Shells of Revolution -- 4.8 Membrane Theory of Very Shallow Shells -- References -- 5 Theory of Very Shallow Shells -- 5.1 Remarks -- 5.2 Initial Statement and Hypothesis -- 5.3 Stresses, Internal Forces and Momenta -- 5.4 Averaged Equations of Motions and Boundary Conditions -- 5.5 Circular Cylindrical Shell -- 5.6 Axisymmetrically Loaded Shells of Revolution -- 5.7 Axisymmetric Vibrations of a Circular Cylindrical Shell -- References -- 6 Other Aspects of the Theory of Plates and Shells -- 6.1 Remarks -- 6.2 Geometrically Nonlinear Theory of Rectangular Plates -- 6.3 Rectangular Plate Hinged Along the Entire Contour. Nonlinear Problem -- 6.4 Theory of Very Shallow Shells. Full Account of the Transverse Shifts -- 6.5 Bending of a Plate Along a Cylindrical Surface -- References.
• Titolo autorizzato: Micropolar theory of shells and plates
• ISBN: 3-030-71326-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910488702503321
• Lo trovi qui: Univ. Federico II
• Serie: Foundations of Engineering Mechanics