Asymptotic methods in mechanics
- Providence, R.I., USA : American Mathematical Society, c1993.
- 1 online resource (xviii, 282 p. : ill.)
- CRM Proceedings and Lecture Notes, v. 3 2472-4890 .
Includes bibliographical references.
Asymptotic methods in mechanics with applications to thin shells and plates (introduction) ; Chapter 1. Asymptotic expansions ; Chapter 2. Singular perturbation of linear differential equations ; Chapter 3. Degenerate boundary value problems ; Chapter 4. Asymptotic solutions of partial differential equations ; Chapter 5. Asymptotic solutions of nonlinear differential equations ; References ; Perturbation methods in eddy current testing ; Buckling of thin cylindrical shells and shells of negative Gaussian curvature ; Thermo-elastic deformations of mirrors ; A mathematical model for hydroelastic problems with a fluid memory. Part I ; A mathematical model for hydroelastic problems with a fluid memory. Part II ; Low-frequency vibrations of cylindrical shells. Part I: Shells with a slanted edge ; Low-frequency vibrations of cylindrical shells. Part II: Connected shells ; Buckling of convex shells under nonaxisymmetric loading ; Elasto-plastic deformations of ribbed plates ; Elastic wave propagation through elastic shells ; Dynmamic stability and forced vibrations of a horizontal rotor with a cracked shaft ; Edge effect under large axisymmetric deformations of shells of revolution ; Turning points and caustics in linear problems of thin shell free vibrations and buckling
9781470439170 (online)
Asymptotic expansions
Differential equations
Mechanics, Applied
Includes bibliographical references.
Asymptotic methods in mechanics with applications to thin shells and plates (introduction) ; Chapter 1. Asymptotic expansions ; Chapter 2. Singular perturbation of linear differential equations ; Chapter 3. Degenerate boundary value problems ; Chapter 4. Asymptotic solutions of partial differential equations ; Chapter 5. Asymptotic solutions of nonlinear differential equations ; References ; Perturbation methods in eddy current testing ; Buckling of thin cylindrical shells and shells of negative Gaussian curvature ; Thermo-elastic deformations of mirrors ; A mathematical model for hydroelastic problems with a fluid memory. Part I ; A mathematical model for hydroelastic problems with a fluid memory. Part II ; Low-frequency vibrations of cylindrical shells. Part I: Shells with a slanted edge ; Low-frequency vibrations of cylindrical shells. Part II: Connected shells ; Buckling of convex shells under nonaxisymmetric loading ; Elasto-plastic deformations of ribbed plates ; Elastic wave propagation through elastic shells ; Dynmamic stability and forced vibrations of a horizontal rotor with a cracked shaft ; Edge effect under large axisymmetric deformations of shells of revolution ; Turning points and caustics in linear problems of thin shell free vibrations and buckling
9781470439170 (online)
Asymptotic expansions
Differential equations
Mechanics, Applied