Integral Equation Method For Conical Shell Under Axisymmetric Loads
Author(s)
A. Harb
Abstract
Integral equation method for conical shell
under axisymmetric loads
A. Harb
Abstract
This paper is concerned with the development of the integral equation method
for the analysis of a conical shell under axisymmetric loads. The governing
equations of the shell are traditionally described as a set of two ordinary
differential equations with two unknown variables. These equations are
normalized by eliminating their first derivatives, and then multiplied by a
weighting function that is a selected Green's function. Finally, they are
repeatedly integrated by parts until their differential operator is shifted from
acting on the state variables to the weighting function. Consequently, the
differential equations are transformed into a set of integral equations. To
complete the analysis procedures, efforts are made to insert various boundary
conditions of a shell into the kernels of the integral equations, and to express the
internal forces, moments,
Keywords
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