The traditional topology optimization methods for designing flexure hinge mechanisms typically replace quasi-hinge or single-node connections in the topology optimization results with typical flexure hinges. However, the secondary introduction of flexure hinges inevitably compromises the optimal performance of the mechanism. To address this challenge, the present study introduces a topology optimization framework utilizing the Moving Morphable Component (MMC) method for the design of flexure hinge-based compliant mechanisms. This method directly integrates predefined flexure hinge features into basic components. Within the MMC framework, the geometric parameters of the rigid members and the flexure hinge are simultaneously optimized as design variables. The geometric and topological descriptions of component with flexure hinge is developed, and the compliant mechanism topology optimization model is established, aiming to maximize the mutual strain energy under volume constraints. The ersatz material model is used for finite element analysis. Numerical examples of gripper and inverter demonstrate that this method directly generates clear and manufacturable flexure hinge mechanisms without post-processing, enabling simultaneous optimization of both the global topology and the local hinge geometry. Furthermore, the effects of the mesh number, number of components, and spring stiffness on the optimized design are investigated, demonstrating that the method can automatically adjust the flexure hinge dimensions to meet varying performance requirements.
Liu et al. (Thu,) studied this question.