基于遗传算法的风洞应变天平公式获取方法研究
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中国空气动力研究与发展中心

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V19

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Investigation on formulas of wind tunnel strain-gage balance based on Genetic Algorithm
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    摘要:

    天平公式的准确性对风洞试验至关重要。传统的天平公式是一个非完全二次多项式,基于天平校准数据,利用最小二乘法得到多项式的系数。非完全多项式中的各项是事先指定的,某些被舍弃的项可能对计算结果有影响,某些被保留项的系数非常小,可能是虚假项。这些成为了计算误差源。随着风洞试验对数据准确性的要求越来越高,传统天平公式难以满足需求。为了提高天平公式的准确性,本文开展了基于遗传算法的风洞应变天平公式获取方法研究。以一个完全多项式为初始天平公式,利用遗传优化算法和“弃项”准侧,建立了新的天平公式。基于一台六分量应变天平的校准数据,比较了新公式和传统公式的准确性。结果表明,新天平公式的准确性更高。

    Abstract:

    The accuracy of balance formula is very important for wind tunnel test. Traditional balance formula is an incomplete quadratic polynomial. Based on the calibration data of a balance, the coefficients of the polynomial are obtained by the least square method. Terms of the incomplete polynomial are specified in advance. However, some abandoned terms may affect the result’s accuracy, and some reserved terms that have very small coefficients may be false terms. Those become the source of calculation errors. With the increasing demand for data accuracy in wind tunnel tests, the traditional balance formula is incompetent. To improve the accuracy of the balance formula, a method of establishing new balance formula based on Genetic Algorithm has been proposed. Taking a complete polynomial as the initial balance formula, a new balance formula can be obtained by optimization calculation with some "discard term" trips. Based on the calibration data of a six-component strain-gage balance, the accuracy of the new formula and the traditional formula is compared. Results show that the new formula has higher accuracy.

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  • 收稿日期:2024-03-26
  • 最后修改日期:2024-04-17
  • 录用日期:2024-04-22
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