A subinterval dimension-wise method for robust topology optimization of structures with truss-like lattice material under unknown but bounded uncertainties

A novel dynamic reliability-based topology optimization (DRBTO) framework for continuum structures via interval-process collocation and the first-passage theories

“…Most previous research works on DTO were carried out with deterministic assumptions, however, uncertain factors originating from external environmental disturbances and internal material imperfections are often inevitable [14][15][16]. The uncertainty-oriented approaches are divided into robust TO (RTO) [17] and reliability-based TO (RBTO) [18]. The RTO handles the uncertainties through constructing a comprehensive performance function in terms of their mean and standard deviation [19][20][21], while the RBTO brings the reliability theory, i.e., integrating the reliability index or failure probability, into the optimization framework [22,23].…”