三次样条函数及其在薄壁曲梁弯扭分析中的应用

桥梁是组成线路的重要部分,为了可以满足不同地形和地貌变化的要求,曲线梁桥便应运而生了,曲梁由于受到初始曲率的影响,其分析研究往往会比较复杂。分析的难点在于其纵向位移场函数的不确定性,而样条理论便是函数逼近的一个重要工具,文章对样条函数、薄壁曲线梁的弯扭分析分别进行了介绍,并将三次样条插值函数应用到了曲线梁的弯扭分析上,为曲线梁弯扭分析提供了一个新途径。

Bridge is an important part of the line, in order to meet the requirements of different terrain and geomorphological changes, curved beam bridge arises at the historic moment. Due to the influence of initial curvature, the analytical research of curved beam is often more complex. The difficulty of analysis lies in the uncertainty of its longitudinal displacement field function, and spline theory is an important tool of function approximation. In this paper, the bending and torsion analysis of spline function and thin-walled curved beam are introduced respectively. The cubic spline interpolation function is applied to the bending and torsion analysis of curved beams, which provides a new way for the bending and torsion analysis of curved beams.