基于旋量的测力台架模型分析和推力定位  

Thrust stand model analysis and thrust positioning based on screw algebra

作　　者：李东 张磊乐[1] 郑国良 邢彦昌 游广飞 LI Dong;ZHANG Leile;ZHENG Guoliang;XING Yanchang;YOU Guangfei(Zhengzhou Research Institute of Mechanical Engineering Company Limited,China Academy of Machiney Science and Technology Group,Zhengzhou 450001,China;Hypervelocity Aerodynamics Institute,China Aerodynamics Research and Development Center,Mianyang Sichuan 621000,China)

机构地区：[1]中国机械科学研究总院郑州机械研究所有限公司,郑州450001 [2]中国空气动力研究与发展中心超高速空气动力研究所,四川绵阳621000

出　　处：《航空动力学报》2024年第11期101-110,共10页Journal of Aerospace Power

摘　　要：基于旋量理论和变形位移协调关系,对八分支正交盒式测力台架进行了旋量建模、模型求解、误差补偿和推力定位方面的研究。从台架的载荷偏心和测力耦合两大特点出发,建立了台架的旋量模型,并结合分支变形约束关系推导出辅助模型求解的约束方程。数值算例和仿真表明,旋量模型及约束方程的最大相对误差为9.147‰。基于测力单元变形与台架位移之间的协调关系,建立了误差补偿模型。数值算例和仿真表明,分力的最小补偿量为78.03%。此外,针对矢量推力定位的不确定性问题,通过旋量理论的Poinsot中心轴定理明确了其原因,即忽略了合力中纯力偶的影响。解析法表明,质心偏移对矢量推力不确定的影响为线性。The screw theory and coordination between deformation and displacement were applied to research the octagonal orthogonal box-type thrust stand in screw modeling,model solving,error compensation,and thrust positioning.Screw model of the stand was established based on the two major characteristics of load eccentricity and force coupling.And constraint equations for model solution were derived based on the branches deformation constraint relationship.Numerical examples and simulations showed that the maximum relative error of the screw model was 9.147‰.An error compensation model was established based on the coordinated relationship between the branches deformation and the stand displacement.Numerical examples and simulations showed that the minimum compensation for force was 78.03%.The Poinsot’s central axis theorem of the screw theory was used to clarify the uncertainty of vector thrust positioning,which was caused by ignoring the influence of pure couple in the resultant force.The analytic method indicated that the effect of mass center offset on vector thrust uncertainty was linear.

关 键 词：测力台架 变形协调 旋量 台架设计 推力定位 

分 类 号：V216[航空宇航科学与技术—航空宇航推进理论与工程]