A fixed-grid bidirectional evolutionary structural optimization method and its applications in tunnelling engineering

作者：Yi Liu; Feng Jin; Qing Li^*; Shiwei Zhou

来源：International Journal for Numerical Methods in Engineering, 2008, 73(12): 1788-1810.

DOI：10.1002/nme.2145

• fixed-grid finite element
• topology optimization
• tunnelling engineering
• evolutionary structural optimization

Topology optimization has exhibited an exceptional capability of improving structural design. However, several typical topology optimization algorithms are finite element (FE) based, where mesh-dependent zigzag representation of boundaries is barely avoidable in both intermediate and final results. To tackle the problem, this paper proposes a new fixed-grid-based bidirectional evolutionary structural optimization method, namely FG BESO. The adoption of an FG FE framework enables a continuous boundary change in the course of topology optimization, which provides a means of dealing with not only the non-smooth boundary of the final design but also the interpretation of intermediate densities. As a class of important practical application, it is interesting to make use of the new FG BESO method to the reinforcement design for underground tunnels. To accommodate the FG BESO technique to geological engineering applications, a nodal sensitivity is derived for a two-phase material model comprising the artificial reinforcement and original rock. In this paper, some innovative topological designs of tunnel reinforcements are presented for minimizing the floor and sidewall heaves under different geological loading conditions.

• 出版日期2008-3-19
• 单位中国水利水电科学研究院; 清华大学