Published: Jan. 1, 2023

As we know, the Bézier extraction operator of NURBS can make isogeometric analysis (IGA) has a similar element data structure to be easily integrated into existing finite codes with few changes. The main intention current paper is give Matlab toolbox topology optimization using NURBS, termed by B-ITO, which provides educational resources for beginners in field and simultaneously lowers learning difficulties this research field. implementations B-ITO have following components: MODEL; PREIGA; BOUND; EXTRABEZIER2D; SHAPE2D; STIFFELE2D; INITIALIZE; SHEPHARD; ASSEMBLE2D; SOLVE; CALCULATE; PLOT; OC. Among them, more important subfunctions are (1) subfunction EXTRABEZIER2D calculates C; (2) SHAPE2D computes basis function its derivatives; (3) STIFFELE2D all solid stiffness matrices. Moreover, identity Bernstein space an individual also considered applied develop another STIFFBEZ2D matrix solution ITO but only rectangular design domains. efficiency much higher than traditional form based on central points. Finally, several numerical examples presented demonstrate effectiveness toolbox, attached Appendix.

Language: Английский