An Approximate Calculation Method for Arbitrary Loads Using B-Spline Function Method
In order to optimize the numerical calculation process of B-spline function method and improve the ability to solve complex load problems,this paper,based on the B-spline function method,proposes a new calculation method of arbitrary load,by comparing and analyzing the results of numerical examples in the relevant literature.Taking the solution of cylindrical shell structure model as a numerical example,using the calculation method proposed in this paper,three groups of different one-way load approximation functions are constructed,and the displacement,bending moment,axial force,and the distribution of displacement and internal force along the coordinate axis at special points are obtained respectively.The accuracy and practicability of the approximate calculation method are analyzed by comparing with the accurate solution(shallow shell solution).The results show that the relative errors of quadratic interpolation method are less than 1.5%at special points,and the relative errors of cubic and quartic interpolation methods are less than 0.6%.The distribution along the coordinate axis is consistent with the exact solution,which shows that this method has the characteristics of high accuracy,simple handling of complex loads,easy programming,flexible constructor and so on.The idea that the approximation function is used to replace the original function for numerical integration in this method provides a new idea for the future B-spline function method to deal with complex loads.
万方数据
维普
