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 yon 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.%超弹性铰链依靠自身大挠度弹性折叠存储的弹性势能实现弹性展开,在卫星天线、太阳翼和空间探测任务中具有重要应用价值.基于Calladine壳体理论和冯卡门薄板大挠度理论,提出了纯弯曲状态下各项同性材料超弹性铰链的总应变能解析模型.该模型综合纵向拉伸、纵向弯曲和横向弯曲曲率的影响,并利用最小势能原理推导出非线性弯曲力矩;通过数值研究分析几何参数对峰值力矩的影响,搭建试验平台验证解析模型的准确性;加工12种不同曲率半径、厚度和中心角的镍钛合金超弹性铰链样件;通过试验测量出每个样件在同向和反向弯曲准静态折叠时的峰值力矩,验证了理论模型的准确性.该研究可以用来分析和测试其它类似薄壁超弹性铰链在纯弯曲状态下的峰值力矩,对于设计超弹性铰链具有重大意义.
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