三棱柱伸展臂超弹性铰链的力学建模与分析

针对对向多层超弹性铰链展开状态的稳定性问题，分别基于铁木辛柯屈曲理论和欧拉梁屈曲理论建立对向多层超弹性铰链折叠峰值力矩模型。搭建实验平台，分别对12种规格对向单层、双层超弹性铰链进行实验研究，发现理论值与实验值偏差不大于7.73%，偏差均值不大于4.93%，偏差标准差不大于4.97%，验证了基于欧拉梁屈曲理论建模的准确性。对对向多层超弹性铰链进行参数研究，发现半径、中心角、厚度和层数与屈曲力矩正相关，而长度则是负相关的。

Mechanical Modeling and Analysis for Hyperelastic Hinge in a Triangular Prism Deployable Mast

Based on Timoshenko and Gere buckling theories and classic Euler beam buckling theory, two different theoretical models are established to analyze the stability of deployment status for the multi-layer equal tape-spring hinge. Twelve different single-layer and double-layer equal tape-spring hinges are tested. The relative errors of the folded peak moment between theoretical results and experimental results are no more than 7.73%, the average relative errors are no more than 4.93% ,and the standard deviation is no more than 4.97%, which demonstrates the accuracy of the nonlinear mechanical model for the multi-layer equal tape-spring hinge. Parametric study shows that the greater section radius, central angle, thickness or layer number is, the greater the folded peak moment is. However, longitudinal length has a negative correlation with the folded peak moment.