Abstract
Topology optimization has become a popular and developing field of research in the last few decades. The topology design historically started with the problem class of layout optimization of structures and the works were called minimum volume design of structures. With the developing of science and computer techniques, topology optimization has played a key role in structural engineering. The real world is full of uncertainties and structures need to be designed and optimized to be robust and reliable when operating in an uncertain environment. Various parameters can affect the robustness and reliability of a structure, including loading, geometry and material properties which can be considered as uncertainties. In this work, only uncertainties in loading will be studied and discussed. Two types of beam Messerschmitt-Bölkow-Blohm beam and fixed-fixed with different loads with variability are to be optimized. As an efficient optimizer for problems having a large number of design variables to solve a sequence of convex approximations, Method of Moving Asymptotes is applying in the optimization process. The use of Monte Carlo optimization algorithms are the mainly methods in reliability-based topology optimization. Numerical examples are presented to show uncertainty in loading and investigate if the level of variability in loading will have a significant impact in the optimized topology.