桅杆纤绳等效非线性弹簧模型

Equivalent Nonlinear Spring Model of the Cable of Guyed Mast

桅杆结构计算模型的建立要考虑多种因素的影响,纤绳是其中的关键之一。纤绳的弦向变形和弦向张力不成正比,具有几何非线性的特点。文中在纤绳模型解析式的基础上,得到了其非线性弹性刚度,在此基础上,采用由解析式数值拟合的方法,得出了纤绳等效非线性弹簧模型。数值仿真表明,采用文中的方法进行纤绳的计算,可以满足工程应用的要求。

The cable model is one of the key factors in guyed mast calculation. The relationship between chordwise deformation and chordwise force of the cable is not linear. Based on its analytic model, the nonlinear elastic stiffness of cable was obtained. Then the polynomial cable model was proposed. Adopting numerical fitting of analytic model, equivalent nonlinear spring model of cable was deduced. The numerical example indicated that the equivalent model in this paper may satisfy engineering requirements.