APPLICATION OF THE PROJECTION-ITERATIVE VERSION OF THE LOCAL VARIATIONS METHOD TO STABILITY PROBLEMS FOR SPHERICAL SHELLS UNDER LOCALIZED LOADS

Projection-iterative modification of the local variations method for solving variational problem with a quadratic functional is proposed. The convergence theorem is formulated. Application of the proposed modification to the problems of local stability of spherical shells under a substantially inhomogeneous stress state, which is caused by local edge loading, is considered. These tasks are important for the construction of space rocket, antenna technology, etc. The developed projection-iterative modifications of the local variations method are effective and can significantly (more than 4 times) reduce the time of computer calculations. Numerical results are confirmed by experimental data.