基于布尔运算的复杂块体几何形态分析一般方法

提出采用布尔运算进行三维复杂块体形态分析的一般方法，并采用C++语言编写了相应的程序。块体布尔运算是将参与运算的主块体和客块体进行交、并或差运算，得到形态更加复杂的块体。为描述块体内部非贯通结构面，在块体数据结构中引入退化有向壳，允许块体中混合维度模型的存在。将主块体各面分别与客块体各面进行面-面求交线运算，通过环路分析得到各块体分割后的面。根据具体采用的布尔运算方法，确定有效面和无效面，并将有效面进行搜索得到新的壳和块体。选取3个算例和1个典型工程实例来验证该方法的可行性和应用性。计算结果表明，该方法可以生成形态更加复杂的块体，可以很方便地处理块体中的结构面，具有普遍性和适应性，并具有广泛的实际应用价值。

A general method for geometric morphological analysis of complex blocks using Boolean operations

A general method for geometric morphological analysis of complex blocks is presented by using the Boolean operations; and the corresponding program with C++ is developed. The Boolean operations are conducted with the Boolean intersection, union or difference operation of master and slave blocks to obtain more complex blocks. The concept of degenerate shell vector is introduced into the data structures of blocks to describe the finite discontinuities inside blocks; and then hybrid-dimensional models can be described in a block. The intersecting lines are obtained by conducting intersections between faces in master and slave blocks; and then the separated faces can be obtained by loop analysis. The effective and ineffective faces can be determined according to the specific Boolean operation. The new shells and blocks can be obtained by searching the effective faces. Four examples including one actual project are selected to validate the method. The results show that the proposed method can generate the more complex block and conveniently describe the finite discontinuities, showing that the method is universally applicable to the actual engineering.