Doctor of Philosophy, The Ohio State University, 2021, Aerospace Engineering
Sizing and topology optimization are the two main structural optimization tools in a wide range of applications in aerospace, mechanical, and design. An iterative process solves the sizing optimization using classical gradient-based methods, usually carried out with an integrated process including a full-scale finite element analysis (FEA) to evaluate the design performance and a gradient search step at each iteration. With a complex real-world model, the optimization process is extremely cumbersome, time-consuming, and with no guarantee for an optimal solution or design. Alternatively, global population-based methods, such as genetic algorithm and particle swarm, can achieve the global optimal design with many simulations for every iteration to evaluate different designs for searching for the best candidates. This tremendous computational effort for simulations at each iteration prevents the global method from optimizing with complex physics simulation models. As for topology optimization, state-of-the-art methods, such as the Solid Isotropic Material with Penalty (SIMP) method, uses hand-coded gradient functions for optimization and must be run repeatedly for different boundary and loading conditions. Several practical and efficient machine-learning-based data-driven approaches have been proposed to optimize structures instantaneously using the generative adversarial network. Nevertheless, a complex machine learning model is costly because of the large amount of data and long training time.
This dissertation presents several new, rapid, and accurate optimal design approaches for improving current structural sizing and topology optimization methods. First, for sizing optimization, to reduce the optimization time while preserving global optimality, a new optimization framework with response surface method and global sensitivity method is presented to approximate the simulation model with high accuracy while using a minimum number of simulations. The response surfac (open full item for complete abstract)
Committee: Herman Shen (Advisor)
Subjects: Engineering