Shape-Finding of a Deployable Structure Using Simulated Annealing

Finding efficient forms and section profiles for a deploying structure is a challenging design problem traditionally approached through trial and error. Alternatively, heuristic search algorithms can be used to pursue an optimal geometry and design the section profiles. This paper will propose a methodology for the design and optimization of a deploying structure for minimum self-weight using a Simulated Annealing algorithm. The design variables are 1) geometric variables that define the lengths of members and their angles relative to the horizontal axis and 2) the section profiles of each element. The constraints include 1) geometric requirements that ensure proper deployment and 2) section profile design specifications defined by design code. This methodology will be demonstrated for a deploying pantograph, but could be employed for the design of other deployable structures, including retractable roofs, rapidly expandable shelters, and folding tensegrity rings.