采用量子粒子群优化算法的风荷载作用下伞形膜结构形态优化设计

为获取具有最优性能的张拉膜结构的形态,基于量子粒子群优化算法,开展伞形膜结构在风荷载作用下的形态优化设计.以矢跨比和脊索拉力作为优化变量,将应变能、应力波动系数和最大支座反力作为优化目标建立多目标优化模型. 通过分配系数法构造适应度函数,并以适应度函数为评价标准进行优化计算;然后,通过与粒子群优化算法优化结果的比较,证明量子粒子群优化算法的有效性和优越性.结果表明:风荷载作用下的最优伞形膜结构形态的脊索拉力、膜预应力和跨度之间的比值系数约为0.77,最优结构矢跨比为0.33~0.41,最优值主要集中在0.35左右.

Optimal Design of Umbrella-Shaped Membrane Structure Under Wind Load Using Quantum Particle Swarm Optimization Algorithm

In order to obtain the tensile membrane structure with optimal performance, the shape optimization design of umbrella-shaped membrane structure under wind load was carried out based on quantum particle swarm optimization algorithm. A multi-objective optimization model was established, taking the rise-span ratio and the chord cable tension as the optimization variables, and taking the strain energy, stress fluctuation coefficient and maximum support reaction force as the optimization objectives. The fitness function was constructed by the distribution coefficient method. The optimization calculation was carried out with the fitness function as the evaluation standard. The effectiveness and superiority of the quantum particle swarm optimization algorithm were proved by comparison with the optimization results of the particle swarm optimization algorithm. The results show that the ratio coefficient among the chord cable tension, membrane prestress and span of the optimal umbrella-shaped membrane structure under the action of wind load is about 0.77, and the optimal structural rise-span ratio is 0.33-0.41, and the optimal value is mainly concentrated around 0.35.