Two-scale topology optimization of dynamic structures and material microstructures

This thesis investigated two-scale topology optimization of dynamic structures and their material microstructures on performances including natural frequency, damping and dynamic compliance. Comparing to the one-scale topology optimization, two-scale topology optimization provides more design freedom and can essentially invent high-performance structures. Nevertheless, the research on the two-scale topology optimization is still limited especially on the design of dynamic structures, which are of significance for practical applications. The modern version of the bi-directional evolutionary structural optimization (BESO) method has been proved to have the ability to generate convergent and reliable optimized solutions for various design problems. Three numerical algorithms of two-sale topology optimization based on BESO are provided on natural frequency, damping and dynamic compliance. This proposed two-scale topology optimization technique provides a solid foundation for designing practical dynamic structures.