摘要
本文应用Ｈ（Ｈｏｕｓｅｈｏｌｄｅｒ）变换求解病态法方程之最小二乘法及三次样条函数最小二乘法，对不同球缝随机性气动力模型进行辨识，提高了参数估计精度。讨论了不同球维和各种发球方式气动力的建模方法，给出了数学模型，并进行了验证，所得结果与实践经验一致。表明气动力模型较符合实际，建模方法可行，模型简单实用，为研究运用球缝发飘球技术。
In this paper, the identification modeling for random aerodynamic forces on volleyball with various types of seams and in various fashions of serving ball are studied using the least square method of solving ill-condition normal equation by HOUSEHOLDER transformation and the least square method of the cubic spline function, the estimated accuracies of parameters are improved, the modeling methods of random aerodynamic forces are discussed, the mathmatical models are given and the applying verifications have been finished. The results have been obtained in agreement with the experiences ill volleyball practice. The results show that the modeling methods are feasible, the constructing models are practical and convenient to study dynamic charateristics of float-serve.Thus it provides important model base for studing the float-servicing techniques.
出处
《空气动力学学报》
CSCD
北大核心
1996年第1期110-116,共7页
Acta Aerodynamica Sinica
基金
国家自然科学基金
关键词
球缝
随机气动力
辨识建模
volleyball seams
random aerodynamic forces
identification modeling
