混合复合材料飞轮转子成本优化设计

基于平面应力理论,计算多层过盈装配混合纤维增强复合材料飞轮转子的应力分布;指出多层过盈装配复合材料转子多种可能的失效形式;结合增广Lagrange乘子法、粒子群优化(Particle swarm optimization,PSO)算法和经典梯度算法各自的优点,提出可求解非线性约束问题的且具有全局收敛性和较高计算效率的两阶段增广Lagrange粒子群优化算法(Two-stage augmented Lagrange particle swarm optimization,TS-ALPSO);利用TS-ALPSO优化算法,以多层过盈装配混合复合材料转子的分层半径、层间过盈量和转速为设计变量,研究多层混合复合材料转子的成本优化问题;并分析转子材料价格不变时,材料次序、分层数及过盈量对转子储能性能的影响;揭示出转子单位成本储能最大时,转子分层半径、层间过盈量及转速随转子材料价格变化的规律。

Cost Optimization Design of Hybrid Composite Flywheel Rotor

Stresses of the press-fit multi-rim hybrid composite flywheel rotor are calculated based on the plane stress theory,and the possible failures of the press-fit multi-rim rotor are pointed out.Taking advantages of augmented Lagrange multiplier(ALM) method,particle swarm optimization(PSO) algorithm and normal gradient method respectively,a two-stage augmented Lagrange particle swarm optimization algorithm(TS-ALPSO) which can solve nonlinear optimization problems with constraints and has global convergence and higher computational efficiency is proposed.Using this TS-ALPSO algorithm,cost optimization of multi-rim hybrid composite flywheel rotor is researched,taking radius of each rim,interferences and rotating speed as the design variables.For a certain material price,the influences of material sequence,rims number and interferences on the energy storage performance of flywheel rotor are analyzed.And for the continuously changing material prices,variations of radius of each rim,interferences and rotating speed are revealed for the composite rotor when its energy stored per unit cost reaches the maximum.