引用本文: 尚仁杰, 蒋方新, 孙悦等. 考虑几何非线性的柔性光伏支架变形与刚度分析. 力学与实践, 2023, 45(2): 395-400.
Shang Renjie, Jiang Fangxin, Sun Yue, et al. Deformation and stiffness analysis of flexible photovoltaic support considing geometric nonlinearity. Mechanics in Engineering, 2023, 45(2): 395-400.
 Citation: Shang Renjie, Jiang Fangxin, Sun Yue, et al. Deformation and stiffness analysis of flexible photovoltaic support considing geometric nonlinearity. Mechanics in Engineering, 2023, 45(2): 395-400.

DEFORMATION AND STIFFNESS ANALYSIS OF FLEXIBLE PHOTOVOLTAIC SUPPORT CONSIDING GEOMETRIC NONLINEARITY

• 摘要: 柔性光伏支架采用了小垂跨比（小于1/30）的悬索结构，具有很强的几何非线性。本文以直线状态索拉力为初始条件，给出了均布载荷下跨中垂度的三次方程和垂度显式解析解，求出考虑大变形几何非线性的索力高精度近似解；通过对平衡方程和垂度方程微分，得到了平衡状态的竖向切线刚度；通过对工程算例进行分析，并与非线性有限元计算结果进行对比，跨中垂度、索拉力误差均不超过0.5%。本文所得到的静力计算公式简单、准确，平衡状态竖向切线刚度物理意义明确，可为柔性光伏支架静力分析和结构设计提供参考。

Abstract: The suspension cable structure with small sag-span ratio (less than 1/30) is adopted in the flexible photovoltaic support, and it has strong geometric nonlinearity. Taking the tension of the cable in the straight line state as the initial condition, the cubic equation and explicit analytic solution of the mid-span deflection under uniform distribution load are given, and the high precision approximate solution of the cable force considering large deformation geometric nonlinearity is obtained. By differentiating the equilibrium equation and the deflection equation, the vertical tangent stiffness of the equilibrium state is obtained. Compared with the results of nonlinear finite element analysis, the errors of mid-span deflection and cable tension are less than 0.5%. The static calculation formula obtained in the paper is simple and accurate, and the vertical tangent stiffness of equilibrium state has clear physical significance, which can provide reference for static analysis and structural design of flexible photovoltaic support.

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