Derivation of Generalized Fourier Series for Calculating Stresses in Semi-Infinite Strips and Cylinders,
Abstract
Generalized Fourier series for calculating stresses in semi-infinite elastic strips and cylinders are derived in this report. In all cases the solutions are expressed in terms of the Papkovitch-Fadle eigenfunctions; a complete solution is thus obtained without using additional sets of orthogonal functions. Certain mixed boundary value problems have been solved in closed form by using the inner biorthogonal properties of the eigenfunctions. In all other boundary value problems, the Fourier coefficients are obtained by solving a set of linear equations. This investigation provides a common analytical basis for calculating stresses in semi-infinite strips and cylinders. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1970
- Accession Number
- AD0716338
Entities
People
- Alexander S. Elder
Organizations
- Ballistic Research Laboratory