Volume 37 Issue 2
Feb.  2022
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Article Navigation >  Journal of Aerospace Power  > 2022  >  37(2): 383-390
YU Chengguo, ZHANG Zhili, LAI Huan, CHEN Wanhua, CHEN Zhenhua, NIE Xutao. Semi-analytic solution and verification for large deflection forming of single-jack semi-flexible nozzle based on elliptic integral[J]. Journal of Aerospace Power, 2022, 37(2): 383-390. doi: 10.13224/j.cnki.jasp.20210081
Citation: YU Chengguo, ZHANG Zhili, LAI Huan, CHEN Wanhua, CHEN Zhenhua, NIE Xutao. Semi-analytic solution and verification for large deflection forming of single-jack semi-flexible nozzle based on elliptic integral[J]. Journal of Aerospace Power, 2022, 37(2): 383-390. doi: 10.13224/j.cnki.jasp.20210081
shu

Semi-analytic solution and verification for large deflection forming of single-jack semi-flexible nozzle based on elliptic integral

doi: 10.13224/j.cnki.jasp.20210081
  • 1.

    College of Missile Engineering， Rocket Force University of Engineering，Xi'an 710025，China

  • 2.

    Facility Design and Instrumentation Institute， China Aerodynamics Research and Development Center，Mianyang Sichuan 621000，China

  • Received Date: 2021-02-23
  • Publish Date: 2022-02-28
    Abstract
  • To improve the analysis accuracy and efficiency of single-jack semi-flexible（SJSF） nozzles in transonic and supersonic wind tunnels，a semi-analytical solution method based on ellipse integral for the flexible plate large deflection was developed.Taking the 0.3 m cryogenic wind tunnel SJSF nozzle as the research object，the mechanical model was established.Based on the Euler beam theory，the differential formulas of the flexible plate deflection were derived，and the elliptic integral form was obtained.Based on the program compiled using Maple software，the semi-analytic solution was carried out under Mach number of 1.15 and 1.3 conditions.The deformation contour and structural equivalent stress were obtained.Compared with the finite element method （FEM） results and experimental measurement，it showed that the elliptic integral results were in good agreement with the other two results.The maximum error of the contour coordinates was 0.18‰ and 0.32‰ of the nozzle outlet height size，respectively.The maximum relative error of the equivalent stress was less than 10%，and the elliptic integral solution time was only 11.2% of the FEM.

     

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