基于初参数法的多心圆拱隧道衬砌结构内力与变位求解

Analytical solution of internal force and displacement in multi-center circular arc tunnel lining based on initial parameter method

基于初参数解析方法的原理,建立了混凝土衬砌弹性地基圆弧曲梁内力和变位求解的初参数矩阵方程。对于多心圆拱隧道衬砌结构,利用曲梁初参数矩阵方程,以及结构的对称性和圆拱弧段交接点处内力平衡和变位协调条件,求解出了矩阵方程中初参数值,可进一步应用初参数矩阵方程求解圆拱弧段各点的内力与变位值。实例计算表明,其解析思想是可行有效的,可为类似衬砌结构设计提供一条可靠的内力分析途径。

Based on principle of initial parameter method, the initial parameter matrix equation of force and displacement of circular beam on elastic foundation if established. Then, the matrix equation and some structure characters, including structure symmetry, force balance and displacement compatibility, are used to achieve initial parameter values for multi-center circular tunnel lining. As a result, force and displacement of every point on circular arc could be obtained. Finally, the result of case calculation indicates that the method proposed is feasible and effective. Meanwhile, the method could be considered as another approach of internal force analysis for tunnel design.