A nonlinear dynamic modeling method for solar-sail mast under solar load is proposed in this paper. To further predict accurately the dynamic behaviors of solar-sail masts, nonlinear dynamic equation considering nonlinear geometric parameters and nonlinear strain of the mast is acquired by absolute nodal coordinate formulation. The absolute nodal coordinate formulation (ANCF) is improved by introducing the Chebyshev polynomial approximation theory to raise the computational efficiency of the computation process on the mass matrix, stiffness matrix, and external force matrix of the nonlinear dynamic equation. Finally, the dynamic behaviors of the uniform mast, parabolic mast, and cylindrical mast under solar load are analyzed. The results show that the influence of the nonlinear parameters cannot be ignored, and the parabolic mast is more convenient in engineering than the cylindrical mast and uniform mast. In addition, the accuracy and convergence of the proposed method are better than those of the traditional computational method according to the analyses results. Thus, there are theoretical value and practical significance for the compositive technical performance of solar-sail mast.

提出了太阳帆柱在太阳荷载下的非线性动力学建模方法。为了进一步准确预测太阳帆桅杆的动力学行为，通过绝对节点坐标公式，获得了考虑了桅杆非线性几何参数和非线性应变的非线性动力学方程。通过引入切比雪夫多项式逼近理论来改进绝对节点坐标公式（ANCF），以提高非线性动力学方程的质量矩阵，刚度矩阵和外力矩阵的计算过程的计算效率。最后，分析了均匀杆，抛物线杆和圆柱杆在太阳荷载下的动力行为。结果表明，非线性参数的影响不容忽视，抛物线桅杆比圆柱形桅杆和均匀桅杆在工程上更方便。此外，根据分析结果，该方法的精度和收敛性均优于传统计算方法。因此，对太阳帆柱的综合技术性能具有理论价值和实际意义。