TY - JOUR AU1 - Grigorenko, Ya. AU2 - Sudavtsova, G. AB - SHELLS OF REVOLUTION OF THE SPHERICAL CLASS WITH LOCAL LOADS AT A POLE Ya. M. Grigorenke and G. K. Sudavtsova UDC 539.311 w 1. We consider the problem of the stressed and deformed state of thin elastic shells of the spheri- cal class [6], with a thickness which varies along the meridian, when they are subjected to local loads whose area of application has its center at a pole. This problem is described by a system of ordinary dif- ferential equations of the following form: d~ = A (s) At+ f(s). (1,1) ds Here = {N,N, Ms, u x, uz, #s}; A~_[/aql I (i, ] ---~ 1,2 ..... 6); T-~{f,,f~ ..... f~}; Nx, Nz, Ms are the radial and axial forces and the meridional bending moment; Ux, Uz, 0 s are the corre- sponding displacements and angle of rotation of the normal; s is the meridional eoordinate. The values of the elements of the matrix A are given in [21. Since a method for the numerical solution of boundary-value problems for shells of revolution was developed in [4] and the method was generalized to spherical-class shells in the case of local loads in [31, it is possible to find TI - Shells of revolution of the spherical class with local loads at a pole JF - International Applied Mechanics DO - 10.1007/BF00884184 DA - 2004-12-10 UR - https://www.deepdyve.com/lp/springer-journals/shells-of-revolution-of-the-spherical-class-with-local-loads-at-a-pole-SMBKWd4DSG SP - 599 EP - 604 VL - 9 IS - 6 DP - DeepDyve ER -