Generalized point models in structural mechanics /
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| Author / Creator: | Andronov, I. V. (Ivan V.) |
|---|---|
| Imprint: | Singapore ; River Edge, N.J. : World Scientific, ©2002. |
| Description: | 1 online resource (xii, 262 pages) : illustrations |
| Language: | English |
| Series: | Series on stability, vibration, and control of systems. Series A ; v. 5 Series on stability, vibration, and control of systems. Series A ; v. 5. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11201516 |
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| 100 | 1 | |a Andronov, I. V. |q (Ivan V.) |0 http://id.loc.gov/authorities/names/no2001053213 | |
| 245 | 1 | 0 | |a Generalized point models in structural mechanics / |c Ivan V. Andronov. |
| 260 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c ©2002. | ||
| 300 | |a 1 online resource (xii, 262 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 490 | 1 | |a Series on stability, vibration, and control of systems. Series A ; |v v. 5 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface; Contents; 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. | |
| 505 | 8 | |a 1.4 Classical point models1.4.1 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. | |
| 505 | 8 | |a 2.2.2 Generalized derivatives2.2.3 Sobolev spaces and embedding theorems; 2.3 Problems of scattering; 2.3.1 Harmonic operator; 2.3.2 Bi-harmonic operator; 2.3.3 Operator of fluid loaded plate; 2.3.4 Another operator model of fluid loaded plate; 2.4 Extensions theory for differential operators; 2.4.1 Zero-range potentials for harmonic operator; 2.4.2 Zero-range potentials for bi-harmonic operator; 2.4.3 Zero-range potentials for fluid loaded plates; 2.4.4 Zero-range potentials for the plate with infinite crack; Chapter 3 Generalized Point Models. | |
| 505 | 8 | |a 3.1 Shortages of classical point models and the general procedure of generalized models construction3.2 Model of narrow crack; 3.2.1 Introduction; 3.2.2 The case of absolutely rigid plate; 3.2.3 The case of isolated plate; 3.2.4 Generalized point model of narrow crack; 3.2.5 Scattering by point model of narrow crack; 3.2.6 Diffraction by a crack of finite width in fluid loaded elastic plate; 3.2.7 Discussion and numerical results; 3.3 Model of a short crack; 3.3.1 Diffraction by a short crack in isolated plate; 3.3.2 Generalized point model of short crack. | |
| 505 | 8 | |a 3.3.3 Scattering by the generalized point model of short crack3.3.4 Diffraction by a short crack in fluid loaded plate; 3.3.5 Discussion; 3.4 Model of small circular hole; 3.4.1 The case of absolutely rigid plate; 3.4.2 The case of isolated plate; 3.4.3 Generalized point model; 3.4.4 Other models of circular holes; 3.5 Model of narrow joint of two semi-infinite plates; 3.5.1 Problem formulation; 3.5.2 Isolated plate; 3.5.3 Generalized model; 3.5.4 Scattering by the generalized model of narrow joint; Chapter 4 Discussions and Recommendations for Future Research. | |
| 520 | |a 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. Contents: Vibrations of Thin Elastic Plates and Classical Point Models; Operator Methods in Diffraction; Generalized Point Models; Discussions and Recommendations for Future Research. Readership: Graduate students and researchers in math. | ||
| 650 | 0 | |a Structural analysis (Engineering) |x Mathematical models. | |
| 650 | 0 | |a Structural engineering. |0 http://id.loc.gov/authorities/subjects/sh85129198 | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Structural. |2 bisacsh | |
| 650 | 7 | |a Structural analysis (Engineering) |x Mathematical models. |2 fast |0 (OCoLC)fst01135610 | |
| 650 | 7 | |a Structural engineering. |2 fast |0 (OCoLC)fst01135658 | |
| 655 | 0 | |a Electronic book. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Andronov, I.V. (Ivan V.). |t Generalized point models in structural mechanics. |d Singapore ; River Edge, NJ : World Scientific, ©2002 |z 9810248784 |z 9789810248789 |w (DLC) 2005297874 |w (OCoLC)50258739 |
| 830 | 0 | |a Series on stability, vibration, and control of systems. |n Series A ; |v v. 5. |0 http://id.loc.gov/authorities/names/n97060398 | |
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