论文部分内容阅读
基于Rejssner厚板理论,在求解过程中结合加权余量法,概化了岩溶及采空区顶板的力学模型。以四边固定与四边铰接为边界条件,考虑岩溶及采空区顶板上部受到均布荷载作用,推导了均布荷载作用下岩溶及采空区顶板的挠度方程和内力表达式,揭示了均布荷载作用下顶板应力和挠度随顶板厚跨比的变化规律。联系实际工程,以顶板岩层抗拉强度为计算控制条件,结合岩溶及采空区顶板安全厚度计算公式,对挠度计算方法的合理与准确性进行验证。
Based on Rejssner slab theory, the mechanical model of karst and roof of goaf is generalized in the process of solving with weighted residual method. Taking the four sides fixed and the four sides hinged as the boundary conditions, considering the karst and the upper part of the goaf subjected to the uniform load, the deflection equation and internal force expression of the karst and the goaf under the uniform load are deduced. The uniform load Under the action of roof stress and deflection changes with the roof thickness ratio. In connection with the actual project, taking the tensile strength of roof rock strata as the calculation control condition, combining with the calculation formula of the safety thickness of roof in karst and goaf, the rationality and accuracy of deflection calculation method are verified.