Abstract

Aim at the unilateral penalty for treating intermediate density elements in traditional topology optimization, a Bi-Directional Interpolation Model (BDIM) is developed to treat intermediate density elements during the topology optimization process. By introducing a threshold, the BDIM model can rationally treat intermediate density elements through penalizing and promoting them toward void and solid elements bilaterally. The mathematical model based BDIM is established for optimizing heat conduction problems and the optimization criteria is derived according to gradient projection method. Corresponding numerical examples are presented to demonstrate the validity of this proposed approach, with the global optimizing results based BDIM model laying a reliable foundation for the subsequent shape and size optimizations in thermal engineering design.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.