Buch, Englisch, Band 65, 254 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 571 g
Reihe: Developments in Mathematics
Bending of Elastic Plates
Buch, Englisch, Band 65, 254 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 571 g
Reihe: Developments in Mathematics
ISBN: 978-3-030-55848-2
Verlag: Springer International Publishing
The book strikes a good balance between the theoretical results and the use of appropriate numerical applications. The first chapter gives a detailed presentation of the differential equations of the mathematical model, and of the associated boundary value problems with Dirichlet, Neumann, and Robin conditions. The second chapter presents the fundamentals of generalized Fourier series, and some appropriate techniques for orthonormalizing a complete set of functions in a Hilbert space. Each of the remaining six chapters deals with one of the combinations of domain-type (interior or exterior) and nature of the prescribed conditions on the boundary. The appendices are designed to give insight into some of the computational issues that arise from the use of the numerical methods described in the book.
Readers may also want to reference the authors’ other books Mathematical Methods for Elastic Plates, ISBN: 978-1-4471-6433-3 and Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation, ISBN: 978-3-319-26307-6.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1. The Mathematical Model.- 2. Generalized Fourier Series.- 3. Interior Dirichlet Problem.- 4. Interior Neumann Problem.- 5. Interior Robin Problem.- 6. Exterior Dirichlet Problem.- 7. Exterior Neumann Problem.- 8. Exterior Robin Problem.- A. Numerical Issues.- B. Numerical Integration.- C. Interior Boundary Value Problem for D[x,y].- D. Exterior Boundary Value Problems for D^A[X,y].- E. Numerical Integration of P[x,y] and P^A[x,y].- References.- Index.