星载可卷金属面天线卷曲的特性研究与仿真

The coiling study and simulation of a spaceborne coiled metal antenna

针对金属天线阵面筒形卷曲的非线性问题,基于薄板的大挠度弯曲理论推导了卷曲薄板的应力、应变分布的理论计算公式。利用ABAQUS有限元方法静态仿真薄板的卷曲变形,比较沿卷曲薄板轴向与周向的应力、应变分布规律。分析了卷曲变形的特点,验证了理论公式的准确性,并将理论公式的应用范围推广到变曲率的卷曲问题,定性讨论了边界条件对应力、应变分布的影响。最后,用ABAQUS显式方法动态分析薄板收卷2.5周并展开的准静态过程,得到应力、应变的分布与变化特征。本文可为金属面可卷天线的设计提供支持与参考。

For the nonlinear problem of a cylindrical coiled metal antenna, theoretical formulas are derived to calculate the stress and strain distribution based on the large deflection bending theory. Static simulations for the coiling of the thin plate are carried out on ABAQUS platform to verify the theoretical formulas by analyzing the stress and strain distribution along the axis and circumference. Additionally, the results of static simulation indicate that the theoretical formulas could be applied to coiling problems with non-constant curvature. Influence of boundary conditions is discussed qualitatively. Finally, using the explicit method of ABAQUS, the distribution and variation characteristics of stress and strain are obtained by the simulation of a quasi-static process, where the thin plate is coiled 2.5 circles and then deployed. The theoretical study and simulation method are available to the design of the coiled metal antenna.