LINEAR BOUNDARY-VALUE PROBLEMS II THE LAMBDAMETHOD FOR RECTANGULAR PLATES,
Abstract
A comprehensive method of formulating the rectangular plate problem, under all boundary conditions and a wide range of loadings, is presented. The particular integral is obtained as a double Fourier Sine Series, which is the complete solution when the plate is simply supported with all edges in the same horizontal plane. This is summed to a single series and transformed to a highly convergent series of negative exponentials in the plate-variables Ui. The necessary calculus for differentiation and integration is established, from which the particular slopes, moments and shears follow whether for concentrated or line loads or loads distributed uniformly over polygonal regions. By treating a concentrated moment as a force-pair, this case is deduced from that of a concentrated load. The necessary complementary functions and the ensuing simultaneous equations for all boundary conditions are formulated in a manner suited to programming for an electronic computer. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1963
- Accession Number
- AD0424063
Entities
People
- Patrick M. Quinlan
Organizations
- University College Cork