Multiscale topology optimization with stress, buckling and dynamic constraints using adaptive geometric components

Abstract

This research focuses on the multiscale topology optimization (TO) of structures to meet stress, stability, and vibration requirements. The compliance minimization problems of multiscale structures under the global stress constraints, critical buckling load factor, and natural frequencies are established and solved by employing a method using adaptive geometric components (AGCs). During the TO process, the dynamic and stability frequency gap constraints are added to the optimal model to prevent mode switches. The maximum stress is measured using the global p-norm stress aggregation. The concurrent material modeling technique, which involves AGCs, illustrates the macrostructure and microstructure of material under multiple constraints simultaneously, which are optimized by focusing on the AGC parameters under multiple constraints. Benchmark numerical tests are presented and investigated to validate the applicability of the proposed approach.