CAJ | 학술논문

在矿山、水利、交通等工程领域中大变形锚杆已经获得了广泛的认可和应用，而相应理论水平落后于工程实践的现状则限制了大变形锚杆支护技术的进一步发展。针对大变形锚杆的力学及变形特性，提出了一种锚杆-围岩耦合作用结构模型，并基于塑性增量理论，从锚杆-围岩相互作用的角度，提出了大变形锚杆加固岩体的求解方法，推导了加锚岩体的平衡方程、位移协调方程和锚杆响应方程。在Visual Basic开发环境中编制有限差分计算程序，利用龙格库塔法求得了大变形锚杆-围岩耦合模型的半解析解，并通过数值模拟验证了理论模型的有效性。基于上述理论模型和计算方法，不仅可以计算得到大变形锚杆轴力和剪应力分布情况，定量分析其支护效应，还可以系统地求得加锚岩体的地层响应曲线及锚杆自身的响应曲线，对于地下工程中大变形锚杆的支护设计有基础性指导意义。
재광산、수리、교통등공정영역중대변형묘간이경획득료엄범적인가화응용，이상응이론수평락후우공정실천적현상칙한제료대변형묘간지호기술적진일보발전。침대대변형묘간적역학급변형특성，제출료일충묘간-위암우합작용결구모형，병기우소성증량이론，종묘간-위암상호작용적각도，제출료대변형묘간가고암체적구해방법，추도료가묘암체적평형방정、위이협조방정화묘간향응방정。재Visual Basic개발배경중편제유한차분계산정서，이용룡격고탑법구득료대변형묘간-위암우합모형적반해석해，병통과수치모의험증료이론모형적유효성。기우상술이론모형화계산방법，불부가이계산득도대변형묘간축력화전응력분포정황，정량분석기지호효응，환가이계통지구득가묘암체적지층향응곡선급묘간자신적향응곡선，대우지하공정중대변형묘간적지호설계유기출성지도의의。
Yielding bolt has been widely used for rock reinforcement in mining and civil engineering in high stress conditions. However, the interaction mechanism of the yielding bolt and the rockmass is still not clear at present;and no model is available to predict its reinforcement effect quantitatively. According to the mechanical and deformation characteristics of yielding bolt, an interaction model is proposed to account for the coupling action between the bolt and rockmass. Based on the plane strain axial symmetry assumption and the incremental theory of plasticity, equilibrium equations and compatibility equations of rockmass, and also the response of yielding rock bolt are deduced theoretically. The proposed method has been programmed in the Visual Basic development environment; and a semi-analytical solution for the coupling model is achieved using Runge-Kutta method. The reinforcement mechanism of yielding bolt is demonstrated through an illustrative case study. The distribution of shear stress and axial force along the bolt are presented;and the reinforcement effect of yielding bolt is estimated quantitatively. In addition, the validity of the proposed method is verified by numerical simulations. The reinforced ground reaction curve and the yielding bolt reaction curve can also be constructed systematically by the proposed method, which could help the support system design in conventional tunnelling.