The Scientific World Journal
Volume 2014 (2014), Article ID 363274, 14 pages
http://dx.doi.org/10.1155/2014/363274
Research Article
Numerical Investigation of Galloping Instabilities in Z-Shaped Profiles
1E.T.S.I. Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
2IDR/UPM, E.T.S.I. Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Received 12 March 2014; Accepted 29 May 2014; Published 25 June 2014
Academic Editor: Ángel Sanz-Andrés
Copyright © 2014 Ignacio Gomez et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Linked References
- J. P. den Hartog, Mechanical Vibrations, McGraw-Hill, New York, NY, USA, 4th edition, 1956.
- G. Parkinson and J. Smith, “The square prism as an aeroelastic non-linear oscillator,” The Quarterly Journal of Mechanics and Applied Mathematics, vol. 17, no. 2, pp. 225–239, 1964. View at Publisher · View at Google Scholar · View at Scopus
- M. Novak, “Aeroelastic galloping of prismatic bodies,” Journal of Engineering Mechanics Division, vol. 96, no. 1, pp. 115–142, 1969. View at Google Scholar
- M. Novak, “Galloping oscillations of prismatic structures,” Journal of Engineering Mechanics Division, vol. 98, no. 1, pp. 27–46, 1972. View at Google Scholar · View at Scopus
- E. Simiu and R. H. Scanlan, Wind Effects on Structures. Fundamentals and Applications to Design, John Wiley & Sons, New York, NY, USA, 1996.
- M. Novak and H. Tanaka, “Effect of turbulence on galloping instability,” Journal of the Engineering Mechanics Division, vol. 100, no. 1, pp. 27–47, 1974. View at Google Scholar · View at Scopus
- Q. S. Li, J. Q. Fang, and A. P. Jeary, “Evaluation of 2D coupled galloping oscillations of slender structures,” Computers and Structures, vol. 66, no. 5, pp. 513–523, 1998. View at Publisher · View at Google Scholar · View at Scopus
- C. Ziller and H. Ruscheweyh, “A new approach for determining the onset velocity of galloping instability taking into account the nonlinearity of the aerodynamic damping characteristic,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 69-71, pp. 303–314, 1997. View at Publisher · View at Google Scholar · View at Scopus
- P. Hémon, F. Santi, B. Schnoerringer, and J. Wojciechowski, “Influence of free-stream turbulence on the movement-induced vibrations of an elongated rectangular cylinder in cross-flow,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 89, no. 14-15, pp. 1383–1395, 2001. View at Publisher · View at Google Scholar · View at Scopus
- P. Hémon and F. Santi, “On the aeroelastic behaviour of rectangular cylinders in cross-flow,” Journal of Fluids and Structures, vol. 16, no. 7, pp. 855–889, 2002. View at Publisher · View at Google Scholar · View at Scopus
- S. C. Luo, Y. T. Chew, and Y. T. Ng, “Hysteresis phenomenon in the galloping oscillation of a square cylinder,” Journal of Fluids and Structures, vol. 18, no. 1, pp. 103–118, 2003. View at Publisher · View at Google Scholar · View at Scopus
- A. Barrero-Gil, A. Sanz-Andrés, and G. Alonso, “Hysteresis in transverse galloping: the role of the inflection points,” Journal of Fluids and Structures, vol. 25, no. 6, pp. 1007–1020, 2009. View at Publisher · View at Google Scholar · View at Scopus
- H. Ruscheweyh, M. Hortmanns, and C. Schnakenberg, “Vortex-excited vibrations and galloping of slender elements,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 65, no. 1–3, pp. 347–352, 1996. View at Publisher · View at Google Scholar · View at Scopus
- H. Kawai, “Effect of corner modifications on aeroelastic instabilities of tall buildings,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 74–76, pp. 719–729, 1998. View at Publisher · View at Google Scholar · View at Scopus
- S. C. Luo, Y. T. Chew, T. S. Lee, and M. G. Yazdani, “Stability to translational galloping vibration of cylinders at different mean angles of attack,” Journal of Sound and Vibration, vol. 215, no. 5, pp. 1183–1194, 1998. View at Publisher · View at Google Scholar · View at Scopus
- A. S. Richardson, “Predicting galloping amplitudes,” ASCE Journal of Engineering Mechanics, vol. 114, no. 4, pp. 716–723, 1988. View at Google Scholar
- R. D. Blevins, Flow-Induced Vibrations, Krieger, Malabar, Fla, USA, 2nd edition, 1990.
- E. Naudascher and D. Rockwell, Flow-Induced Vibrations: An Engineering Guide, A.A. Balkema, Rotterdam, The Netherlands, 1994.
- G. Alonso, J. Meseguer, and I. Pérez-Grande, “Galloping instabilities of two-dimensional triangular cross-section bodies,” Experiments in Fluids, vol. 38, no. 6, pp. 789–795, 2005. View at Publisher · View at Google Scholar · View at Scopus
- G. Alonso, J. Meseguer, and I. Pérez-Grande, “Galloping stability of triangular cross-sectional bodies: a systematic approach,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 95, no. 9–11, pp. 928–940, 2007. View at Publisher · View at Google Scholar · View at Scopus
- G. Alonso and J. Meseguer, “A parametric study of the galloping stability of two-dimensional triangular cross-section bodies,” Journal of Wind Engineering & Industrial Aerodynamics, vol. 94, no. 4, pp. 241–253, 2006. View at Publisher · View at Google Scholar · View at Scopus
- G. Alonso, J. Meseguer, A. Sanz-Andrés, and E. Valero, “On the galloping instability of two-dimensional bodies having elliptical cross-sections,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 98, no. 8-9, pp. 438–448, 2010. View at Publisher · View at Google Scholar · View at Scopus
- G. Alonso, E. Valero, and J. Meseguer, “An analysis on the dependence on cross section geometry of galloping stability of two-dimensional bodies having either biconvex or rhomboidal cross sections,” European Journal of Mechanics B, vol. 28, no. 2, pp. 328–334, 2009. View at Publisher · View at Google Scholar · View at Scopus
- G. Alonso, I. Pérez-Grande, and J. Meseguer, “Galloping instabilities of Z-shaped shading louvers,” Indoor and Built Environment. In press.
- T. Tamura, I. Ohta, and K. Kuwahara, “On the reliability of two-dimensional simulation for unsteady flows around a cylinder-type structure,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 35, no. 1–3, pp. 275–298, 1990. View at Publisher · View at Google Scholar · View at Scopus
- K. Hayashi and Y. Ohya, “A numerical study of the flow around a rectangular cylinder with critical depth,” in Proceedings of the 16th National Symposium on Wind Engineering, pp. 179–184, 2000 (Japanese).
- W. Rodi, “Comparison of LES and RANS calculations of the flow around bluff bodies,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 69–71, pp. 55–75, 1997. View at Publisher · View at Google Scholar · View at Scopus
- H. Hirano, A. Maruoka, and S. Watanabe, “Calculations of aerodynamic properties of rectangular cylinder with slenderness ratio of 2:1 under various angles of attack,” Journal of Structural Engineering A, vol. 48, pp. 971–978, 2002. View at Google Scholar
- S. Oka and T. Ishihara, “Numerical study of aerodynamic characteristics of a square prism in a uniform flow,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 97, no. 11-12, pp. 548–559, 2009. View at Publisher · View at Google Scholar · View at Scopus
- G. Bosch and W. Rodi, “Simulation of vortex shedding past a square cylinder with different turbulence models,” International Journal Numerical Methods in Fluids, vol. 28, pp. 601–616, 1998. View at Google Scholar
- Y. Bao, D. Zhou, C. Huang, Q. Wu, and X. Chen, “Numerical prediction of aerodynamic characteristics of prismatic cylinder by finite element method with Spalart-Allmaras turbulence model,” Computers and Structures, vol. 89, no. 3-4, pp. 325–328, 2011. View at Publisher · View at Google Scholar · View at Scopus
- T. S. Lee, “Early stages of an impulsively started unsteady laminar flow past tapered trapezoidal cylinders,” International Journal for Numerical Methods in Fluids, vol. 26, no. 10, pp. 1181–1203, 1998. View at Publisher · View at Google Scholar
- M. Cheng and G. R. Liu, “Effects of afterbody shape on flow around prismatic cylinders,” Journal of Wind Engineering & Industrial Aerodynamics, vol. 84, no. 2, pp. 181–196, 2000. View at Publisher · View at Google Scholar · View at Scopus
- I. Robertson, L. Li, S. J. Sherwin, and P. W. Bearman, “A numerical study of rotational and transverse galloping rectangular bodies,” Journal of Fluids and Structures, vol. 17, no. 5, pp. 681–699, 2003. View at Publisher · View at Google Scholar · View at Scopus
- DLR Institute, TAU-Code User Guide. Release 2011.2.0, 2011.
- P. R. Spalart and S. R. Allmaras, “A one-equation turbulence model for aerodynamic flows,” AIAA Paper 92-0439, 1992. View at Google Scholar
- F. R. Menter, “Zonal two equation k-ω turbulence models for aerodynamic flows,” AIAA Paper 93-2906, 1993. View at Google Scholar
- E. Turkel, R. Radespiel, and N. Kroll, “Assessment of preconditioning methods for multidimensional aerodynamics,” Computers and Fluids, vol. 26, no. 6, pp. 613–634, 1997. View at Publisher · View at Google Scholar · View at Scopus
- G. Alonso, A. Sanz-Andrés, and A. Barrero-Gil, “Energy harvesting from transverse galloping,” Journal of Sound and Vibration, vol. 329, no. 14, pp. 2873–2883, 2010. View at Publisher · View at Google Scholar · View at Scopus