摘要
为优化水平定向钻扩孔器的形状尺寸,建立了扩孔器形状优化的数学模型。首先,采用Vesic等提出的球孔扩张理论求解扩孔器端面的扩张应力,在此基础上求得扩孔器工作过程中所受的阻力和阻力矩。然后,通过遗传算法,以阻力和阻力矩最小为目标函数,对扩孔器的形状、尺寸进行优化。最后,通过算例证明优化结果和传统设计相比阻力和阻力矩有大幅度降低。
In order to optimize the shape and size of reamers, it tablishes the mathematical model for shape optimization of reamers. Firstly, it uses the spherical cavity expansion theory presented by Vesic etc. to solve the expanding stress at the tip of reamers. This model can calculate the resistance and resistance moment of reamers in the process of functioning, optimize the shape and size of reamers for minimizing resistance and resistance moment with genetic algorithm. Numerical examples shows that optimal solution can decrease amplitude in aspect of resistance and resistance moment compared with conventional design.
关键词
水平定向钻
扩孔器
球孔扩张理论
形状优化
遗传算法
Horizontal Directional Drill
Reamer
Spherical Cavity Expansion Theory
Shape Optimization
Genetic Algorithm
