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本文用半解析边界元方法分析无限介质中具有任意截面形状的有限长洞室在瞬态应力波作用下动应力集中问题。通过一种新的坐标变换将复杂截面形状的地下洞室映射成圆柱形洞室,利用半解析边界元法对圆柱洞室作一维数值分析即可。文中计算了圆柱、椭圆柱、3/4圆弧截面地下洞室的动应力集中,讨论了地下洞室的长跨比效应和截面形状改变对动应力集中系数的影响。
In this paper, the semi-analytic boundary element method is used to analyze the dynamic stress concentration of a finite-length cavern with an arbitrary cross-sectional shape in an infinite medium under transient stress waves. Through a new coordinate transformation, the underground cavern with complex cross-section shape is mapped into a cylindrical cavern, and the semi-analytical boundary element method is used to make a one-dimensional numerical analysis of the cylindrical cavern. The dynamic stress concentration of the underground caverns with cylindrical, elliptical, and 3/4 circular cross sections was calculated in this paper. The effect of the long-span ratio of underground caverns and the influence of the change in section shape on the dynamic stress concentration factor was discussed.