Simultaneous topology and shape optimization method in conceptual design of disk

Abstract

To minimize the effects of artificially chosen variables on optimization results,simultaneous topology and shape optimization( STSO) method was proposed for structural optimization of aero-engine disk at the conceptual design phase. This method was based on solid isotropic material with penalization( SIMP)method,by analyzing the sensitivities of the optimized object and constraints,sequential quadratic programming( SQP) optimized method was used to solve the problem. Then,taking shell structure for instant,the results of STSO method and multi-step optimization method were comparatively analyzed,which confirmed the advantage of STSO method. At last,the STSO method was utilized to design a conceptual disk structure.Results of disk structural optimization of STSO method were compared to that of the sole topology optimization method. Influence of frequency constraints of different vibration modes on optimization results was discussed.The results show that the structural forms of optimization results of frequency constraints of different vibration modes vary a lot. Convergence rate of STSO method is faster than that of solo topology optimization,and the consequences of STSO method are more accurate. Meanwhile,the results of STSO method may be invalid for excessive mesh distortion caused by the wrong choice of the value range of shape optimization variables.