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隧洞入口处往往是地下岩体工程事故的多发区,也可能存在同时跨隧洞顶板、侧壁和入口边坡面的非凸关键块体,经典块体理论中的凸块体有限性判定定理不适用于非凸块体。在经典块体理论的基础上,笔者针对临空面之间含有凹状组合时需要进行并集运算的特征,提出了可以同时表示凸块体和非凸块体的一般符号表示方法,然后根据一般块体的构造定理,推出了用所有子块体是否有限来判断非凸块体有限与否的识别准则,进而枚举分析出系统中的所有有限凸块体,并按照结构面编码相同的原则组合出所有可能的有限非凸块体,同时沿着凹状相交的临空面逐次切割非凸块体,可以得到仅在切割面处相连接的非凸块体的子块体最优组合,从而可以实现隧洞入口处非凸关键块体的识别。这个方法的理论意义在于从凸块体到非凸块体扩展了块体理论的应用范围,在实际工程中又具有一定的实用价值。
The entrance to the tunnel is often a frequent area of underground rock mass engineering accidents. There may be non-convex key blocks simultaneously crossing the roof, side walls and entrance side slope of the tunnel. The theorem of the limited determination of the convex blocks in the classical block theory For non-convex body. On the basis of the classical block theory, the author proposes a general symbolic representation of both convex and non-convex blocks for the features that need to be combined in the process of inclusion of concave and convex faces between the planes. According to the general The theorem of block construction is introduced and the criterion of whether all the sub-blocks are finite or not is used to judge whether the non-convex block is finite or not. Then all the finite convex blocks in the system are enumerated and analyzed, By combining all the possible finite non-convex bodies and cutting the non-convex bodies one at a time along the concavely intersecting free surface, the optimal combination of sub-blocks of non-convex bodies connected only at the cutting plane can be obtained. It can realize the identification of non-convex key block at tunnel entrance. The theoretical significance of this method lies in extending the application range of block theory from convex body to non-convex body and has certain practical value in practical engineering.