横向滑坡过程中管道的内力和变形计算
Calculation of pipeline inner force and distortion during transverse landslide body
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摘要: 将滑坡体中的管道简化成大挠度的梁, 将滑坡体外管道看作半无限长的梁或杆, 考虑管梁的几何非线性、滑坡体外土壤的纵向抗力的物理非线性以及管道的内压和温差作用, 基于滑坡体内外管道内力和变形的连续性, 推导得出了在当量轴向力为拉力或压力两种情况下管道的内力和位移的有关计算式, 提出了当量轴力为拉力或压力的判别式。横向滑坡中埋地管道的位移和内力计算最终归结于两个非线性方程的求解, 可用牛顿迭代法或作图法解之。提供了算例及其结果分析, 讨论了以前有关理论的不足之处。Abstract: Simplifying the pipeline inside a landslide body to a large bending deflection beam and taking the pipeline outside landslide body a beam with half unlimited-length or pole, thinking of the pipe beam's geometric nonlinearity, physical nonlinearity of soil's vertical resisting force outside the landslide body and the action of pipeline's inner pressure and temperature difference, based on the continuity of pipeline's inner force and distortion both inside and outside the landslide body, derived a relative calculation on pipeline's inner force and displacement under both conditions that equivalent axial force means a tension or a pressure and puts forward a discriminant when equivalent axial force is a tension or a pressure. Displacement and inner force calculations on buried pipeline in vertical landslide will finalize resolutions of two nonlinearity e-quations and these can be solved by means of Newton iteration method or plotting method. The article also provides calculating example and result analysis, and discusses shortcomings in previous theory.