一种顾及方向遮蔽性的高效空间插值方法  

An efficient spatial interpolation method involving position shading

作　　者：周长聪[1] 刘洪威 何宝明 王维 谭春龙 ZHOU Changcong;LIU Hongwei;HE Baoming;WANG Wei;TAN Chunlong(School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi’an 710129,China;Nacelle Department,AECC Commercial Aircraft Engine Co.,Ltd.,Shanghai 200241,China)

机构地区：[1]西北工业大学力学与土木建筑学院,西安710129 [2]中国航发商用航空发动机有限责任公司短舱系统部,上海200241

出　　处：《北京航空航天大学学报》2023年第6期1278-1286,共9页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金(51975476);陕西省自然科学基础研究计划(2020JM-135);航空科学基金(20200029053001)。

摘　　要：反距离权重插值方法在航空航天中有着广泛的应用,但其存在仅考虑距离关系而忽视方位关系的缺点,顾及方向遮蔽性的调和反距离权重插值方法弥补了这种不足,提高了插值精度,但仅适用于平面插值。借鉴该方法的基本假设,根据归一化后样本点的不同空间分布,以平面均匀角和球面均匀角为基准,制定统一的均匀性量化标准,提出一种更具普适性的三维空间插值方法。在搜索插值点的临近样本点时,提出一种最近邻搜索算法,极大提高了插值计算效率。通过测试函数计算发现,与反距离权重插值方法相比,所提插值方法误差显著降低。将所提插值方法应用于某型民用飞机短舱的气动载荷插值,结果表明,所提插值方法兼具高效和高精度的优点。The inverse distance weight interpolation method has a wide range of applications in aerospace,but it only considers the distance relationship and ignores the azimuth relationship.This shortcoming is addressed by the adjusted inverse distance weight interpolation method with position shading,although it is only appropriate for plane interpolation.Based on the basic assumption of this method,according to the different spatial distribution of normalized sample points,this paper formulates a unified uniformity quantization standard based on the plane uniform angle and spherical uniform angle,and proposes a three-dimensional spatial interpolation method.This study proposes a new technique that significantly increases the effectiveness of interpolation by searching sample points close to the interpolation points.Through the calculation of test functions,it is found that compared with the inverse distance weight interpolation method,the error of the proposed method issignificantly reduced.The proposed method is applied to the aerodynamic loads interpolation of a civil aircraft nacelle,and the results show that the proposed method has the advantages of high efficiency and high accuracy.

关 键 词：反距离权重插值 方向遮蔽性 球面均匀角 最近邻搜索 气动载荷 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]