基于疲劳寿命的旋翼气动弹性多目标优化研究

基于Hamilton原理基础上推导了旋翼桨叶有限元动力学模型和疲劳寿命计算模型。以动力学特性的固有频率，自转惯量为约束，以剖面特性参数的挥、摆、扭刚度及桨叶线性密度为设计变量，进行最小质量及最大疲劳寿命的多目标优化。采用满足溢出分析的优化算法（Satisficing Trade-off Analysis）。结果在满足各约束条件下，实现旋翼桨叶质量减少7.27％，疲劳寿命循环次数由3.98 108次到4.73 108次，寿命提高了18.7%，优化效果明显。

Multi-objective optimization based on dynamic analysis and rotor blade fatigue life

The rotor blade finite element dynamic model and fatigue life model is derived from Hamilton theory. The section stiffness of flapping, lagging and pitching, linear density of blade section are used as design variables, constrains on frequency placement, autorotational inertia are included, the objective function is to minimize the blade mass and maximize the fatigue life. The optimization is realized by using the Satisficing Trade-off Analysis. Finally, compared with the optimization result of the designed model, the result shows that the optimum solution results in a 7.27 percent reduction of the total rotor blade mass and the fatigue life for the optimal design is 4.73 108 times form the initialized design 3.98 108 times, increase of 18.7 percent, under the control of the constrained conditions , perturbation of design variables and dynamics characteristics.