切比雪夫多项式在动态载荷识别中的应用

依据广义正交域理论，应用一维切比雪夫广义多项式的正交性解决单自由度系统动态载荷时域识别问题，获得了基本计算模型。通过假定数据条件下定频模拟激励动态载荷，根据满足普遍意义的单自由度系统动力学方程计算出系统的加速度响应，结合应用广义正交多项式进行载荷识别的基本计算模型进行动态载荷仿真识别，并将仿真识别结果和激励动态载荷进行比对，对比识别结果，确定一维切比雪夫广义加权正交多项式应用于时域动态载荷识别在理论上具有可行性。在理想条件下，飞行器单处测点满足单自由度系统，应用试验记录的其加速度响应，通过载荷识别计算模型对其动态载荷进行了识别，给出了时域内的载荷识别结果，由于对计算模型及识别对象做了简化处理，在一定程度上降低了动态载荷识别的复杂度，因此，在将结果应用到工程实际中时还需进一步拓展。

Application of the Chebysher polynomials for dynamic loads identification

Base on generalized quadrature domain theory, the application of the one dimensional Chebysher the generalized polynomials orthogonal solve single degree of freedom system identification problem of time-domain dynamic loads, basic computing model. Made up by assuming conditions frequency analog stimulus dynamic loads, according to the calculated acceleration response of the system to meet the universal significance of single-degree-of-freedom system dynamics equations, dynamic load simulation to identify the basic calculation model combined with the application of general orthogonal polynomials load identification and simulation to identify and motivate dynamic load compare and contrast recognition results, to determine a dimensional Chebysher generalized weighted orthogonal polynomials used in time-domain dynamic load identification is feasible in theory. Aircraft single measure point meet the single-degree-of-freedom system under ideal conditions, apply experiment recorded acceleration response, to identify its dynamic load by load identification computational model, given the time domain load identification the results, due to the simplified processing computing model and identify objects, to a certain extent reduce the complexity of the dynamic load identification, therefore, need to fiarther expand the application of the results to the engineering practice.