中文摘要：

基于弹性曲面微分方程以及硬岩掘进机刀盘变形与滚刀载荷的对应关系,根据支撑方式的不同得到了刀盘支撑直径的理论取值范围。基于相似理论设计了某型号TBM刀盘的缩尺实验台,测量了不同支撑直径下各测点的载荷值。以非线性弹簧模拟滚刀与岩石间的相互作用关系,则有限元计算结果与实验测量数值分布及变化规律一致。结果表明：刀盘支撑介于简支和夹支之间,支撑直径与刀盘直径的理论比值应位于0.444-0.707的范围内;支撑直径的变化对正滚刀及中心滚刀的载荷影响较大,而对边滚刀则相对较小;随支撑直径的增加,正滚刀载荷变异系数及最大载荷均增大。

英文摘要：

Based on the differential equation of an elastic curved surface and the corresponding relation between cutter-head deformation and hob load,we established a theoretical value range for the tunnel boring machine（ TBM）cutter-head support diameter when considering different support forms. On the basis of the similarity theory,we designed a reduced-scale structural model of a certain TBM cutter-head,and recorded the load of the measurement point for different support diameters. We employed a nonlinear spring element to simulate the interaction between the hob and rock,and the finite element method results were consistent with the value distribution and change law measured experimentally. The results show that when cutter-head support lies between a simple and clamped support,the theoretical ratio between the support diameter and cutter-head diameter is in the range of 0.444 to 0.707.In addition,a change in the support diameter significantly impacts the load of the front and central hobs,while the influence on the side hob is relatively small. As the support diameter increases,both the load variation coefficient and the maximum load of the front hob increase.