多项式响应面代理模型在直升机飞行性能计算中的应用

在直升机飞行性能计算中,越来越多地采用了高精度的飞行力学模型,导致计算精度和计算量之间的矛盾更加突出.采用多项式响应面代理模型可以有效解决计算精度和计算量之间的矛盾.构造多项式响应面代理模型,首先需确定拟合阶数和采样点,再使用高精度飞行力学模型计算各采样点的需用功率,然后使用修正的Gram-Schimdt正交化方法和上三角追赶法求解最小二乘法问题得到拟合系数,最后检查代理模型的拟合精度.对算例直升机进行代理模型计算结果、原始模型计算结果和试飞结果的对比,再利用代理模型进行箅例直升机气动参数可行域求解,证明本方法拟合精度高,构造过程数值稳定,相比传统原始计算,计算速度快,没有收敛性问题,方便多人协同工作和前后工作衔接,具有很高的工程实用价值.

Polynomial Agent Model Used in Helicopter Performance Calculation

The helicopter model used in helicopter performance calculation was more and more com- plex whose calculation speed was more and more slow. Using agent model was an effective to solve the problem. To build the agent model, the sample point should be determined firstly. Then the hel-icopter model was used to calculate the required power of the sample point. Fixed Gram - Sehimdt and up - triangle method was used to solve the equation. Finally, the result was compared to confirm the accuracy of the agent model. It was shown by the example that agent model has enough accuracy and numerical stability. Compared to direct calculation, it was more quickly, no convergence prob-lem and more convenience for people to work together.