Stationary Oscillations of Elastic Plates: A Boundary Integral Equation Analysis
Autor Gavin R. Thomson, Christian Constandaen Limba Engleză Hardback – iul 2011
The book is intended for an audience with a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics, and for theoretical physicists and mechanical engineers whose work involves elastic plates. Graduate students in these fields can also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.
Preț: 384.70 lei
Nou
Puncte Express: 577
Preț estimativ în valută:
73.62€ • 76.48$ • 61.16£
73.62€ • 76.48$ • 61.16£
Carte tipărită la comandă
Livrare economică 03-17 februarie 25
Preluare comenzi: 021 569.72.76
Specificații
ISBN-13: 9780817682408
ISBN-10: 0817682406
Pagini: 230
Ilustrații: XIII, 230 p. 4 illus.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.52 kg
Ediția:2011
Editura: Birkhäuser Boston
Colecția Birkhäuser
Locul publicării:Boston, MA, United States
ISBN-10: 0817682406
Pagini: 230
Ilustrații: XIII, 230 p. 4 illus.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.52 kg
Ediția:2011
Editura: Birkhäuser Boston
Colecția Birkhäuser
Locul publicării:Boston, MA, United States
Public țintă
ResearchCuprins
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.
Textul de pe ultima copertă
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 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.
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.
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.
Caracteristici
Provides comprehensive and rigorous mathematical treatment within an unprecedentedly refined mathematical model Illustrates applications of the boundary integral equation method to new problems Constructs easily approximated solutions First book of its kind Includes supplementary material: sn.pub/extras