基于单纯形模拟退火算法的网架结构优化设计

针对单纯形和模拟退火算法的优缺点,单纯形模拟退火算法将两种算法有机地结合起来,充分利用了单纯形算法收敛速度快以及模拟退火算法的随机突跳、不易陷入局部极小点的特性。两种算法结合,互相补充不足,大大提高算法的效率,并消弱了对参数选择的苛刻性。应用单纯形模拟退火算法对网架结构进行优化设计,并对模拟退火算法中参数的选择进行了探讨,算例分析表明了单纯形模拟退火算法应用在网架结构优化中的可行性和有效性。

Optimal design of lattice grid structure based on simulated simplex-annealing method

Aiming at the excellence and disadvantage of simplex method and simulated annealing method,the simulated simplex-annealing method integrates the two different methods,taking advantage of the characteristics that simulated annealing method can't easily get in partial minimum point and jump at random,and simplex method has rapidity of convergence.It makes the two methods recruit each other,improves the algorithmic efficiency by a long way,and weakens the rigor of parameter selection.The article applies simulated simplex-annealing method to optimal design of lattice grid structure,and research into problems in parameter selection.The examples manifest the feasibility and validity of applying simulated simplex annealing method to optimal design of lattice grid structure.