DOI QR코드

DOI QR Code

Study on Vibration Characteristics in Terms of Airfoil Cross-Sectional Shape by using Co-Rotational Plane Beam Transient Analysis

Co-Rotational 보의 과도상태해석을 이용한 에어포일 단면 형상 변화에 따른 진동특성 연구

  • Kim, Se-Ill (Mechanical and Aerospace Engineering, Seoul National Univ.) ;
  • Kim, Yong-Se (Mechanical and Aerospace Engineering, Seoul National Univ.) ;
  • Park, Chul-Woo (Mechanical and Aerospace Engineering, Seoul National Univ.) ;
  • Shin, Sang Joon (Mechanical and Aerospace Engineering, Seoul National Univ.)
  • 김세일 (서울대학교 기계항공공학부) ;
  • 김용세 (서울대학교 기계항공공학부) ;
  • 박철우 (서울대학교 기계항공공학부) ;
  • 신상준 (서울대학교 기계항공공학부)
  • Received : 2016.05.11
  • Accepted : 2016.08.03
  • Published : 2016.10.30

Abstract

In this paper, vibration characteristics in terms of the airfoil cross-sectional shape was examined by using the EDISON co-rotational plane beam-transient analysis. Co-Rotational plane beam analysis is appropriate for large rotation and small strain. Assuming aircraft wing as a cantilevered beam, natural frequencies of each airfoil cross-sectional shape were estimated using VABS program and fast Fourier transformation(FFT). VABS conducts finite element analysis on the cross-section including the detailed geometry and material distribution to estimate the beam sectional properties. Under the same airfoil geometric configuration and material selection, variation of material induced difference in the deflection and natural frequencies. It was observed that variation of the natural frequency was dependent on variation of the airfoil shape and material.

본 논문에서는 Co-Rotational plane beam transient analysis EDISON program(CR-보)를 이용한 에어포일 단면형상 변화에 따른 진동특성 연구를 수행하였다. Co-Rotational 평면 보 해석은 대 회전과 작은 변형률을 갖는 보 해석에 적합하다. 항공기의 날개를 외팔보로 가정하여, VABS를 통한 단면해석과 Fourier 변환을 통해 각 단면형상 변화에 따른 에어포일의 고유진동수를 비교하였다. VABS를 사용하여 단면의 형상과 재료의 적층 정보를 고려한 단면에서의 유한요소 해석을 수행하였다. 에어포일의 재질, spar 유무, 단일 등방성 재료 복합재료, 에어포일 최대두께의 변화에 따라 에어포일의 끝단 진폭과 고유진동수가 변화함을 확인할 수 있었다. 이를 바탕으로 에어포일 고유진동수 변화는 2차 관성모멘트/단면적, 밀도, 영률의 변화에 상당한 영향을 받음을 알 수 있었다.

Keywords

References

  1. Barun, P., Santosha, K.D. (2011) Nonlinear Vibrations and Frequency Response Analysis of a Cantilever Beam under Periodically varing Magnetic Field, Mech. Based Design of Struct. & Mach., 39, pp.378-391. https://doi.org/10.1080/15397734.2011.557972
  2. Craig Jr, R.R., Kurdila, A.J. (2006) Fundamentals of Structural Dynamics, 2nd Edition, pp.200-205.
  3. Daniel, A.S. (2010) A Modeling study of the Sensitivity of Natural Frequency of Vibration to Geometric Variations in a Turbine Blade, Rensselaer Polytechnic Institute Hartford, CT.
  4. Di Sciuva, M. (1986) Bending, Vibration and Buckling of Simply Supported Thick Multilayered Orthotropic Plates: An Evaluation of a New Displacement Model, J. Sound & Vib., 105, pp.425-442. https://doi.org/10.1016/0022-460X(86)90169-0
  5. Kamlesh, P., Manish, B. (2012) Determination of Natural Frequency of Aerofoil Section Blades Using Finite Element Approach, Study of Effect of Aspect Ratio and Thickness on Natural Frequency, Eng. J., 17(2).
  6. Kim, M.J., Kang, N.C. (2010) Vibration Analysis of a Rotating Cantilever Beam with Tip Mass Using DTM, KSNVE,, 20, pp1058-1063. https://doi.org/10.5050/KSNVE.2010.20.11.1058
  7. Le, T.N., Battini, J.M., Hjiaj, M. (2011) Efficient Formulation for Dynamics of Corotational 2D Beams, Comput. Mech., 48(2), pp.153-161. https://doi.org/10.1007/s00466-011-0585-6
  8. Park, C.W., Joo, H.S.(2010) Study on Cantilever Beam Tip Response with Various Harmonic Frequencies by Using EDISON Co-rotational Plane Beam-Dynamic Tip Load, J. Comput. Struct. Eng. Inst. Korea, 28(5), pp.477-484. https://doi.org/10.7734/COSEIK.2015.28.5.477
  9. Singiresu, S.R. (2011) Mechanical Vibrations, 5nd Edition, pp.721-728.
  10. Swalwell, K., Sheridan, J., Melbourne, W.H., (2003) Frequency Analysis of Surface Pressures on an Airfoil After Stall, 21st AIAA Applied Aerodynamics Conference., Orlando, Florida-2003-3416.
  11. Thomas, D.L., Wilson, J.M., Wilson, R.R. (1973) Timoshenko Beam Finite Elements, J. Sound & Vib., 31(3), pp.315-330. https://doi.org/10.1016/S0022-460X(73)80276-7