| Topology optimization methods have been fully developed during the past two decades, and it has achieved great success in the structural design field. In topology optimization, design domain is predetermined, and it keeps unchanged in structural optimization process. However, fixed design domain is difficult to satisfy some design requirements such as domain sizing adjustment or boundaries change.;In this dissertation, Domain Composition Method (DCM) is proposed to meet this challenge. Instead of treating design domain as a whole, DCM divides domain into several subdomains at the beginning. It defines additional scaling factors and applies subdomain transformations to describe the change between different designs. Then it composites subdomains and solve it as an updated domain. Consequently, structural analysis and sensitivity analysis can be derived. Furthermore, domain and topology of the structure are optimized simultaneously. Using DCM, regional strain energy formulation is discussed in protective structures design problem. Since the protective structures always undergo dynamic loads in practice, but the transient analysis is too expensive to apply, inertia relief analysis is employed to analyze the structure deformation. Some applications of DCM using regional strain energy formulation and inertia relief analysis are presented and discussed.;The main contributions of this dissertation are listed as follows: (1) presenting the concept of Design Composition Method (DCM), (2) applying DCM in static analysis and inertia relief analysis, (3) deriving the sensitivity of total strain energy and regional strain energy with DCM, (4) discussing the protective structures design scheme employing DCM using regional strain energy formulation and inertia relief analysis. |
