全水压作用下非圆形斜井内壁弹性分析

发布时间：2018-06-20 02:36

本文选题：斜井井壁 + 水压　；参考：《中国矿业大学学报》2017年01期

【摘要】：建立了受全水压作用直墙半圆拱斜井井壁模型,首先利用混合罚函数方法计算出不规则井壁的映射函数方程;其次利用复变函数理论,推导出井壁弹性近似解析解,并分析了无量纲化水压、井壁设计参数等因素对井壁应力和位移分布的影响;最后结合全组合方案设计给出了井壁底板曲率半径与侧墙高度比值合理取值范围.分析表明:映射函数式中ξ~(-n)系数n=4时可获得精度较高的映射效果;水压、井壁厚度、侧墙高度和底板曲率半径均对井壁受力有显著影响;侧墙高度h_00.8时,拱顶开始向井外变形;底板曲率半径r_(d0)1.4后,底板全部转为受压状态;在现有井壁形状条件下,当r_(d0)/h_0=2.3~2.5且h_00.8时,井壁侧墙高度和底板曲率半径设计最优.
[Abstract]:In this paper, the wall model of a semi circular arch with full hydraulic pressure is established. First, the mapped function equation of the irregular shaft wall is calculated by the mixed penalty function method. Secondly, the approximate analytical solution of the shaft wall elasticity is derived by using the complex function theory, and the distribution of the stress and displacement of the shaft wall with dimensionless hydraulic pressure and the design parameters of the wellbore is analyzed. In the end, a reasonable range of radius of radius of curvature of the wellbore floor and the ratio of side wall height is given with the design of full combination scheme. The analysis shows that the mapping effect can be obtained with higher precision when the coefficient of zeta ~ (-n) is n=4 in the mapping function; the water pressure, the thickness of the wall, the height of the side wall and the radius of the bottom plate have a significant influence on the stress of the shaft wall; the height of the side wall. At h_00.8, the vault begins to deform outside the well, and the bottom plate turns to the compression state after the radius of curvature r_ (D0) 1.4. Under the existing well wall shape, when r_ (D0) /h_0=2.3~2.5 and h_00.8, the height of the sidewall side wall and the radius of the floor curvature are optimal.
【作者单位】：中国矿业大学(北京)力学与建筑工程学院;中国矿业大学(北京)深部岩土力学与地下工程国家重点实验室;
【基金】：国家自然科学基金(51274203)
【分类号】：TD32

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