A novel dynamic isogeometric reanalysis method and its application in closed-loop optimization problems

Abstract

In this study, a novel dynamic isogeometric reanalysis (DIGR) method based on the Newmark-β method is suggested to improve the computational efficiency. The dynamic response of the modified structure can be efficiently predicted by using the DIGR method without solving the complete set of modified equilibrium equations of the modified structure. Compared with popular dynamic reanalysis methods, DIGR has higher accuracy and can solve more complex structures rather than simple truss or beam structures. Furthermore, the larger the scale of the problem is, the higher the efficiency of the proposed method will be. Benefiting from the introduction of the IGA, the geometric model and modifications can be accurately represented and transformed due to the smoothness of Non-Uniform Rational B-Splines (NURBS) basis functions. Thus, the IGR can easily integrate with closed-loop optimization, can significantly improve the efficiency and can shorten the design cycle of the product. Numerical examples are shown to validate the correctness and superiority of the DIGR. The accuracy and efficiency are verified by comparing the results obtained via complete analysis.