Stationary Oscillations of Elastic Plates A Boundary Integral Equation Analysis /

• Main Authors: Thomson, Gavin R. (Author), Constanda, Christian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2011.
• Subjects: Mathematics.; Integral equations.; Partial differential equations.; Physics.; Vibration.; Dynamical systems.; Dynamics.; Integral Equations.; Vibration, Dynamical Systems, Control.; Mathematical Methods in Physics.; Partial Differential Equations.

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...

Table of Contents:

• 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.