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.