Skip Navigation Links
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn


Influence of Duct Joint on Modal Parameters of Rectangular Duct

Journal of Vcibration Testing and System Dynamics 3(1) (2019) 25--37 | DOI:10.5890/JVTSD.2019.03.003

Nagaraja Jade, V. Nidheesh, B. Venkatesham

Department of Mechanical and Aerospace Engineering, Indian Institute of Technology Hyderabad, Telangana-502285, India

Download Full Text PDF

 

Abstract

The present paper discusses influence of duct joint on structural dynamic characteristics (modal parameters) of a rectangular duct. An analytical model is developed to consider the effect of duct joint on modal parameters. The joint condition is modeled as a combination of linear and torsional spring’s stiffness. Developed analytical model is validated with experimental results for a rectangular duct with Pittsburgh lock joint. It is observed that both natural frequencies and mode shapes are in good agreement. For further understanding the influence of duct joint on modal parameters, current analytical model results are compared to duct without joints results and noticed that only antisymmetric mode shapes of duct with joint condition are deviating from ideal duct.

Acknowledgments

The Authors would like to thank Indian Institute of Technology Hyderabad, for providing the required resources for conducting the current research work.

References

  1. [1]  Cummings (2001), Sound transmission through duct walls, Journal of Sound and Vibration, 239(4), 731-765.
  2. [2]  Blevins, R.D. (1979), Formulas for natural frequency and mode shape, Kreiger Publ. Comp, New York.
  3. [3]  Lee, H.P. (1993), Natural frequencies and modes of cylindrical polygonal ducts, Journal of Sound and Vibration, 164(1), 182-187.
  4. [4]  Zhou, D. and Cheung, Y.K. (1999), Free vibration of line supported rectangular plates using a set of static beam functions, Journal of Sound and Vibration, 223(2), 231-245.
  5. [5]  Venkatesham, B., Tiwari, M., and Munjal, M.L. (2011), Prediction of brake-out noise from a rectangular duct with compliant walls, International Journal of Acoustics and Vibration, 16(4), 180-190.
  6. [6]  Praveena, R., Nagaraja, J., and Venkatesham, B. (2016), Sound radiation characteristics of a rectangular duct with flexible walls, Advances in Acoustics and Vibration, 1-15.
  7. [7]  Alley, V.L. and Leadbetter, S.A. (1963), Prediction and measurement of natural vibrations of multistage launch vehicles, American Institute of Aeronautics and Astronautics, 1(2), 374-379.
  8. [8]  Xu, S. and Deng, X. (2004), An evaluation of simplified finite element models for spot-welded joints, Finite Elements in Analysis and Design, 40(9), 1175-1194.
  9. [9]  Goes, K.C., Batalha, G.F., and Camarao, A.F. (2009), Finite element modeling techniques of 3D welded joints-the structural hot spot approach, Proceedings of the 20 th International Congress of Mechanical Engineering, Gramado, 1, 1-10.
  10. [10]  Cummings (1981), Stiffness control of low frequency acoustic transmission through the walls of rectangular ducts, Journal of Sound and Vibration, 74(3), 351-380.
  11. [11]  Balachandran, Magrab E.B. (2008), Vibrations, Cengage Learning, 2nd edition, Boston.
  12. [12]  Chavan, P.N. and Venkatesham, B. (2015), Free vibration analysis of a rectangular duct with different axial boundary conditions, The International Journal of Acoustics and Vibration, 20(1), 10-14.
  13. [13]  Purohit B, Jain, P.C., and Pandey, A.K. (2016), Modal analysis of monolithic and jointed type cantilever beams with non-uniform section, Experimental Mechanics, 6(56), 1083-1094.
  14. [14]  Zhou (1996), Natural frequencies of rectangular plates using a set of static beam functions in Rayleigh-Ritz method, Journal of Sound and Vibration, 189(1), 81-87.