Stationary oscillations of elastic plates : a boundary integral equation analysis
Elliptic partial differential equations are important for approaching many problems in mathematical physics, and boundary integral methods play a significant role in their solution. This monograph investigates the latter as they arise in the theory characterizing stationary vibrations of thin elasti...
Sábháilte in:
| Príomhchruthaitheoirí: | , |
|---|---|
| Formáid: | Livre numérique |
| Teanga: | Anglais |
| Foilsithe / Cruthaithe: |
Boston :
Birkhäuser Boston : Springer e-books
[20..].
Cham : Springer Nature |
| Ábhair: | |
| Rochtain ar líne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nóta: |
Description d'après consultation du 23 avril 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Stationary Oscillations of Elastic Plates, Texte imprimé, 9780817682408 |
| LEADER | 04388nam a22004337a 4500 | ||
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| 001 | 968531 | ||
| 008 | 110722q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN153858206 | ||
| 020 | |a 9780817682415 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.45 | ||
| 084 | |a 31A10. 2010 | ||
| 084 | |a 74K20. 2010 | ||
| 084 | |a 74H45. 2010 | ||
| 100 | 1 | |a Thomson, Gavin R. | |
| 245 | 1 | 0 | |a Stationary oscillations of elastic plates : |b a boundary integral equation analysis |c Gavin R. Thomson, Christian Constanda. |
| 260 | |a Boston : |b Birkhäuser Boston : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Description d'après consultation du 23 avril 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 224-227 Index p. 228-229 | ||
| 505 | 1 | |a Preface The Mathematical Models Layer Potentials The Nonhomogenous System The Question of Uniqueness for the Exterior Problems The Eigenfrequency Spectra of the Interior Problems The Question of Solvability The Direct Boundary Equation Formulation Modified Fundamental Solutions Problems with Robin Boundary Conditions The Transmission Problem The Null Field Equations Appendices References Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Elliptic partial differential equations are important for approaching many problems in mathematical physics, and boundary integral methods play a significant role in their solution. This monograph investigates the latter as they arise in the theory characterizing stationary vibrations of thin elastic plates. The techniques used reduce the complexity of classical three-dimensional elasticity to a system of two independent variables, using eigenfrequencies to model problems with flexural-vibrational elastic body deformation and simplifying these problems to manageable, uniquely solvable integral equations. In under 250 pages, Stationary Oscillations of Elastic Plates develops an impressive amount of theoretical machinery. After introducing the equations describing the vibrations of elastic plates in the first chapter, the book proceeds to explore topics including the single-layer and double-layer plate potentials; the Newtonian potential; the exterior boundary value problems; the direct boundary integral equation method; the Robin boundary value problems; the boundary-contact problem; the null field equations. Throughout, ample time is allotted to laying the groundwork necessary for establishing the existence and uniqueness of solutions to the problems discussed. The book is meant for readers with a knowledge of advanced calculus and some familiarity with functional analysis. It is a useful tool for professionals in pure and applied mathematicians, as well as for theoretical physicists and mechanical engineers with practices involving elastic plates. Graduate students in these fields would also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Équations intégrales | ||
| 650 | |a Physique mathématique | ||
| 700 | 1 | |a Constanda, Christian. |4 aut | |
| 700 | 1 | |a Constanda, Christian. |4 aut | |
| 760 | 0 | |t Mathematics and Statistics | |
| 776 | 0 | |t Stationary Oscillations of Elastic Plates |b Texte imprimé |z 9780817682408 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-8241-5 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-KQ1V24MQ-W |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750619414 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-0-8176-8241-5 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753977540 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-0-8176-8241-5 |z Accès INSA CVL | |
| 997 | |0 968531 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||