广义正交多项式在动载荷识别中的应用研究

Application of Generalized Orthogonal Polynomials in Dynamic Load Recognition

根据正交域理论,基于广义切比雪夫多项式建立了单自由度系统的动载荷识别模型,对已知参数的一般单自由度系统动力学模型进行了验证性的动载荷识别,结果表明该模型能够很好地对单自由度系统动载荷进行识别,可以通过增加多项式阶数降低拟合误差并提高精度。采用该模型对飞行器飞行试验单处测点进行了动载荷识别,结果可信度较高,对改进飞行器飞行试验方案和结构设计具有指导意义。

For a single degree of freedom system dynamic load identification,based on the generalized field theory chebyshev orthogonal polynomials,a dynamic load recognition model is established,and then a single degree of freedom system dynamics model generally known parameters are validated dynamic nature load recognition simulation,and finally a single degree of freedom system to test the model aircraft measured at a single point constitute dynamic load are identified.The results show that the generalized chebyshev orthogonal polynomials recognition model based on dynamic load can be a good fit single degree of freedom system dynamic load identification problem.For specific questions,the degree of the polynomial fit can be increased to reduce error and improve the fitting accuracy,which has important application value.