Study of Numeric Convergence of the Method of R ? functions in Problems of Constraint Torsion

摘要

This paper is devoted to the study of numeric convergence of Rvachev’s method of R ? function. The method of R ? function in this case is applied to the solution of the problem of constraint torsion of prismatic bodies of arbitrary section. First the problem is solved analytically when the section is rectangular and this solution is compared with results of the method of R ? function. Then numeric convergence of R ? function is studied, when the angles of rectangular section are rounded; it also is applied when the section has rectangular opening with rounded angles. Results compared show good agreement and convergence.