Construction of a geometric mathematical model for design and manufacturing and development of an optimal design system
Topology optimization of mechanisms and generation of robots
Optimal design of metamaterials and multi-scale design
RESEARCH DETAILS
We study optimal design methods and their practical applications in mechanical engineering. Additionally, we construct a novel theory for design engineering based on mathematics and informatics beyond the traditional framework. To achieve our aim, we study mathematical physics in mechanical engineering, mathematical modeling for design problems, modeling for geometrical conditions by the partial differential equations, multiscale design problems, and practical design problems.