Comparison studies with five kinds of common notch flexure hinges have also been conducted quantitatively with respect to compliance, precision, compliance precision ratios, and maximum stress. For instance, a hybrid flexure hinge, which consists of half a hyperbolic flexure hinge and half a corner-filleted flexure hinge, was developed in Ref. Since Paros and Weisbord proposed right circular flexure hinges and introduced an analytical approach to derive exact and approximate compliance equations, substantial research has been spent on creating flexure hinges having new configurations that achieve high performance. The obtained results reveal that the design of a flexure hinge starting from the topology level can yield more choices for compliant mechanism design and obtain better designs that achieve higher performance. Several numerical examples are presented to demonstrate the validity of the proposed method. A constraint on the symmetry of the obtained configuration is developed. The weighting sum method is used to construct an objective function in which a self-adjust method is used to set the weighting factors. The functional requirements are first constructed by maximizing the compliance in the desired direction while minimizing the compliances in the other directions. Optimization formulations are developed by considering the functional requirements and geometrical constraints of flexure hinges. This study presents a systematic method for topological optimization of flexure hinges by using the level set method. Although various flexure hinges with different configurations have been successively proposed, they are often designed based on designers’ experiences and inspirations.
A flexure hinge is a major component in designing compliant mechanisms that offers unique possibilities in a wide range of application fields in which high positioning accuracy is required.
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