Integral equation method for conical shell under axisymmetric loads
The paper is concerned with the development of integral equation method for the analysis of a conical shell under axisymmetric loads. The governing equations of the shell are two ordinary differential equations. These equations are normalized by eliminating their first derivatives, and then multiplied by a weight function selected as a Green's function. Finally, they are repeatedly integrated by parts until their differential operator is shifted from state variables to the weight function. Consequently, the differential equations are transformed into a set of integral equations. To complete the analysis, an effort is made to insert various boundary conditions for the shell into the kernels of integral equations, and to expess internal forces, moments and displacements of the shell in terms of state variables. Two different type of constructions are used for the shell: one has a constant thickness, and the other has a piecewise linearly varying thickness.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00025].
scientific article; zbMATH DE number 1683646