Mixed Boundary Value Problems for the Elastic Strip. The Eigenfunction Expansion.
Abstract
The stress function for a semi-infinite elastic strip with free edges is expanded in eigenfunctions of Papkovitch-Fad'le type, and biorthogonal functions are constructed by use of the adjoint operator. To establish completeness, the same expansion is obtained by a Fourier transform solution of the biharmonic equation. When end data is supplied in the form of prescribed tractions or prescribed displacements, the coefficients in the expansion must be found by truncation of an infinite set of linear equations. It is noted that the methods for formulating such equations that have been proposed in the past are unstable with respect to the order of truncation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1978
- Accession Number
- ADA060621
Entities
People
- D. A. Spence
Organizations
- University of Wisconsin–Madison