Abstract:Based on the Bi-evolutionary Structural Optimization(BESO) method, a design method for hinge-free compliant mechanisms considering geometric nonlinearity is proposed. Firstly, BESO method based on discrete topological variables and asymptotic evolution algorithm is adopted for the design of compliant mechanisms, which naturally avoids the distortion phenomenon of medium and low density elements in traditional variable density methods when considering geometric nonlinearity, and effectively improves the numerical stability of the topological evolution process. Secondly, by constraining the response deformation of the input and output terminals under unit excitation, the formation of concentrated hinges in the compliant mechanism is effectively suppressed, the structural strength is improved, and the manufacturability of the design configuration is improved. Linear and nonlinear compliant mechanism test samples were prepared separately, and the consistency between experimental and numerical simulation performance was good, demonstrating the necessity of considering geometric nonlinearity in topology optimization design of compliant mechanisms.