Accession Number : AD0716338

Title :   Derivation of Generalized Fourier Series for Calculating Stresses in Semi-Infinite Strips and Cylinders,

Corporate Author : BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s) : Elder,Alexander S.

Report Date : NOV 1970

Pagination or Media Count : 41

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)

Descriptors :   (*ELASTIC SHELLS, STRESSES), ELASTIC PROPERTIES, CYLINDRICAL BODIES, FOURIER ANALYSIS, BOUNDARY VALUE PROBLEMS, SERIES(MATHEMATICS)

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE