Circular plate bending simulation using S-splines

This paper is dedicated to 7 degree S-splines of the class C4 that maintain four continuous derivatives and though remain stable. S-spline is a piecewise-polynomial function. Its coefficients are defined due to two criteria. The classic problem the elasticity theory is handled by solving nonhomogeneous biharmonic equation using Galerkin method, where fundamental S-splines are chosen as the system of basic functions. This approach not only provides high accuracy of solution, but also lets determine the required loads easily. We described methodic of the problem of space discretization using S-splines. The obtained numerical solution is compared to the known analytic solution to the problem.