Bending problem of multilayered shallow shells solution by RFM and spline-approximation
Abstract
Analysis of existing methods for investigation of stressed-strained state of multilayered shallow shells with complex planform, taking shift deformations in account, is carried out. Conclusion is made that there is a necessity of development of effective and universal methods to solve the stated problem. A numerically-analytical method, based on R–functions theory and variational Ritz method is proposed. The key difference of developed approach is usage of splines to approximate undefined components of solution structures. The proposed approach is performed in a form of programming complex using analytical package MAPLE. Using developed program package problems of bending of multilayered shells of convex planform with different boundary conditions are solved. results are combined with analogical using polynomial approximation. For shells with rectangular planform comparison with known results is presented.
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Copyright (c) 2017 Л. В. Курпа, А. А. Осетров
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