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吴锋,袁占斌,张有.矢量推力台架各向同性及灵敏度分析[J].航空动力学报,2020,(7):1353~1360
矢量推力台架各向同性及灵敏度分析
Analysis on isotropy and sensitivity of vector thrust stand
投稿时间:2019-12-19  
DOI:10.13224/j.cnki.jasp.2020.07.002
中文关键词:  六分力台架  矢量推力  各向同性  对称分布  灵敏度分析
英文关键词:six-component thrust stand  vector thrust  isotropy  ,symmetric distribution  sensitivity analysis
基金项目:陕西自然科学基金(2020JM-153); 重点实验室基金(N2018KE0080)
作者单位
吴锋 School of Power and Energy,,Northwestern Polytechnical University,Xi’an 710072,China
Science and Technology on Altitude Simulation Laboratory,,Sichuan Gas Turbine Establishment,,Aero Engine Corporation of China,Jiangyou Sichuan 621700,China
 
袁占斌 School of Mathematics and Statistics,,Northwestern Polytechnical University,Xi‘an 710072,China 
张有 Science and Technology on Altitude Simulation Laboratory,,Sichuan Gas Turbine Establishment,,Aero Engine Corporation of China,Jiangyou Sichuan 621700,China
 
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中文摘要:
      为了对矢量推力台架进行结构参数设计与优化,进行了台架的各向同性和灵敏度分析。考虑到各向同性和对称性密切相关,提出了矢量推力台架中测力单元对称分布定义,并推导了对称分布下,测力单元坐标满足的特征方程。基于1阶静力影响系数矩阵的条件数这一指标对测力单元对称分布的六分力台架进行了各向同性分析,发现对称六分力台架2∶2∶2构型可具有完全各向同性,而3∶2∶1构型只能具有力矩各向同性;并经过优化分布半径和方位角得到理想2∶2∶2构型需满足rx=ry=rz和(θx,θy,θz)=(0°,90°,180°)或(90°,180°,270°),理想3∶2∶1构型需满足rx=3rz/2和θx=0°。研究了两种实际台架和两种理想台架的联系和区别,并通过对实际台架进行各向同性和灵敏度分析,发现台架具有力或者力矩各向同性会导致力或者力矩灵敏度也具有各向同性;力和力矩灵敏度都与相关联的测力单元的弹性杆柔度成正比,力矩灵敏度与相关联的测力单元分布半径成反比。该研究方法和结论对设计与建造推力矢量发动机测力台架具有一定的理论与方法方面的指导意义。
英文摘要:
      The isotropy and sensitivity analysis was conducted to design and optimize the structure of vector thrust stand. Given the closely interlinked isotropy and symmetry, symmetric distribution of load cells was denoted, and the associated characteristic equations about their coordinates were proved.By condition number based on spectral norm of first order static coefficient matrix,the isotropy features of six-component stand were analyzed in detail. It was proved that 2∶2∶2 configuration can realize perfect isotropy and 3∶2∶1 configuration can only realize isotropy of torque.After optimizing radius and angles,the ideal configurations were obtained for each case respectively.The ideal 2∶2∶2 configuration was rx=ry=rz with (θx,θy,θz)=(0,90°,180°) or (90°,180°,270°) and ideal 3∶2∶1 configuration was rx=3rz/2 with θx=0°. Comparing the difference between real and ideal configurations and studying associated sensitivity,it was found that the isotropy of force or torque led to the isotropy of corresponding sensitivity.The force and torque sensitivity were proportional to the flexibility of the elastic rod,while the torque sensitivity was inversely proportional to the distribution radius of the related cells.Above methods and conclusions are instrumental in design and construction of vector thrust stand.
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