The Generalized Fourier Series Method
Bending of Elastic Plates
1st Edition
Published on 21. November 2020
XIII, 254 pages
978-3-030-55849-9 (ISBN)
Description
The book presents and explains a general, efficient, and elegant method of approximate solution for boundary value problems for an elliptic system of partial differential equations arising in elasticity theory. The methodology for constructing generalized Fourier series based on the structure of the problem is shown in detail, and all the attending mathematical properties are derived with full rigor. A numerical scheme directly related to the series method is developed and employed to compute approximate solutions, illustrated by a variety of examples.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIII, 254 p. 186 illus., 37 illus. in color.
File size
8,17 MB
ISBN-13
978-3-030-55849-9 (9783030558499)
DOI
10.1007/978-3-030-55849-9
Schweitzer Classification
Other editions
Additional editions
Book
11/2020
1st Edition
Springer
€53.49
Shipment within 7-9 days
Content
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.
