Reliability-based topology optimization of frame structures

This study concerns a reliability-based topology optimization method for frame structures that considers uncertainties in applied loads and nonstructural mass in the early conceptual design stage. The optimum design is obtained through ground structure approaches, where cross-sectional areas of frame elements are treated as design variables. The reliability of multiple criteria consisting of stiffness and eigen-frequency is evaluated by regarding them as a series system, where mode reliabilities are evaluated using first order reliability method. Through numerical calculations, reliability-based topology designs of typical two- or three-dimensional frames are obtained. he importance of considering uncertainties is then demonstrated by comparing the results obtained using the proposed method with deterministic optimal designs.