考虑横向曲率的超弹性铰链纯弯曲非线性力学建模与实验

Tape-spring flexible hinges can be folded elastically and can self-deploy by releasing stored strain energy, which have important potential application value in the deployment mechanisms of satellite and solar array. Based on both the Calladine shell theory and the von Karman large deflection plate theory, a total strain energy analytical model was proposed for the large deflection bending properties of the isotropic tape-spring flexure hinges under pure bending. Nonlinear bending moment was derived by applying the minimum potential energy principle. This study incorporated longitudinal stretching, longitudinal and transverse bending variations into the analytical model. Numerical studies were performed to analyze the influences of geometric parameters on peak moment. The experimental apparatus was performed to verify the analytical model. Twelve nickel titanium tape-spring flexure hinges with different radius of curvature, thickness, and subtended angle were constructed to measure. Peak moments of each tape-spring flexure hinge under equal and opposite bending during quasi-static folding were measured to verify the theoretical model. The proposed research can be applied to analyze and test other thin-walled flexure hinge under pure bending, which is of great importance to design of flexure hinges.