Abstract

Shape changing structures combine soft actuators with passive rigid members in a planar or spatial domain. These designs have traditionally been posed as multi-material topology optimization problems with a predefined objective, which is computationally intensive for design space exploration. A thorough exploration of the feasible solution concepts greatly enhances the designer's ability to select and refine solutions. In this paper, we introduce an enumeration-based design framework for planar shape-changing structures, drawing inspiration from biological arrangement of bipennate muscles. The concept of bipennates is generalized to a triangle whose edges consist of exactly two muscles (soft actuators) and one bone (passive members). We enumerate all possible configurations of a closed planar topology with its interior triangulated with the two-muscle, one-bone (M2B) units. A Pseudo Rigid Body Model (PRBM) is used to analyze the deformations and identify feasible designs. Physics-based guidelines are used to further refine the selected design by either eliminating certain muscles or toggling a muscle to a bone. We demonstrate the efficacy of this framework in quickly exploring the space of all feasible configurations, including the solutions obtained from an evolutionary optimization framework.

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