This work introduces a design method for the progressive collapse of thinwalled tubular components under axial and oblique impacts. The proposed design method follows the principles of topometry optimization for compliant mechanism design in which the output port location and direction determine the folding (collapse) mode. In this work, the output ports are located near the impact end with a direction that is perpendicular to the component's longitudinal axis. The topometry optimization is achieved with the use of hybrid cellular automata for thin-wall structures. The result is a complex enforced buckle zone design that acts as a triggering mechanism to (a) initiate a specific collapse mode from the impact end, (b) stabilize the collapse process, and (c) reduce the peak force. The enforced buckle zone in the end portion of the tube also helps to avoid or delay the onset of global bending during an oblique impact with load angles higher than a critical value, which otherwise adversely affects the structure's capacity for load-carrying and energy absorption. The proposed design method has the potential to dramatically improve thin-walled component crashworthiness.Keywords: Thin-walled square tubes, progressive buckling, compliant mechanisms, topometry design, structural optimization, hybrid cellular automata * Corresponding Author Preprint submitted to Thin-Walled Structures June 20, 2015 This is the author's manuscript of the article published in final edited form as: Bandi, P., Detwiler, D., Schmiedeler, J. P., & Tovar, A. (2015). Design of progressively folding thin-walled tubular components using compliant mechanism synthesis. Thin-Walled Structures, 95, 208-220. http://dx