Generalized point models in structural mechanics / / Ivan V. Andronov

• Autore: Andronov I. V (Ivan V.)
• Pubblicazione: Singapore ; ; River Edge, N.J., : World Scientific, c2002
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (276 p.)
• Disciplina: 515.35; 624.1/71; 624.171
• Soggetto topico: Structural analysis (Engineering) - Mathematical models; Structural engineering
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Contents ; Preface ; Chapter 1 Vibrations of Thin Elastic Plates and Classical Point Models ; 1.1 Kirchhoff model for flexural waves ; 1.1.1 Fundamentals of elasticity ; 1.1.2 Flexural deformations of thin plates ; 1.1.3 Differential operator and boundary conditions ; 1.1.4 Flexural waves 1.2 Fluid loaded plates ; 1.3 Scattering problems and general properties of solutions ; 1.3.1 Problem formulation ; 1.3.2 Green's function of unperturbed problem ; 1.3.3 Integral representation ; 1.3.4 Optical theorem ; 1.3.5 Uniqueness of the solution ; 1.3.6 Flexural wave concentrated near a circular hole 1.4 Classical point models ; 1.4.1 Point models in two dimensions ; 1.4.2 Scattering by crack at oblique incidence ; 1.4.3 Point models in three dimensions ; 1.5 Scattering problems for plates with infinite crack ; 1.5.1 General properties of boundary value problems 1.5.2 Scattering problems in isolated plates ; 1.5.3 Scattering by pointwise joint ; Chapter 2 Operator Methods in Diffraction ; 2.1 Abstract operator theory ; 2.1.1 Hilbert space ; 2.1.2 Operators ; 2.1.3 Adjoint symmetric and selfadjoint operators 2.1.4 Extension theory ; 2.2 Space L2 and differential operators ; 2.2.1 Hilbert space L2 ; 2.2.2 Generalized derivatives ; 2.2.3 Sobolev spaces and embedding theorems ; 2.3 Problems of scattering ; 2.3.1 Harmonic operator ; 2.3.2 Bi-harmonic operator
• Sommario/riassunto: This book presents the idea of zero-range potentials and shows the limitations of the point models used in structural mechanics. It also offers specific examples from the theory of generalized functions, regularization of super-singular integral equations and other specifics of the boundary value problems for partial differential operators of the fourth order. <br><i>Contents:</i><ul><li>Vibrations of Thin Elastic Plates and Classical Point Models</li><li>Operator Methods in Diffraction</li><li>Generalized Point Models</li><li>Discussions and Recommendations for Future Research</li></ul><br><
• Titolo autorizzato: Generalized point models in structural mechanics
• ISBN: 981-277-790-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910809947703321
• Lo trovi qui: Univ. Federico II
• Serie: Series on stability, vibration, and control of systems. : Series A ; ; v. 5.