Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 434868, 12 pages
http://dx.doi.org/10.1155/2014/434868
Research Article

Dynamic Stability of Euler Beams under Axial Unsteady Wind Force

1Engineering Technology Research and Development Center for Structural Safety and Health Monitoring, Guangzhou University, Guangzhou, Guangdong 510006, China
2State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China

Received 19 October 2013; Revised 12 February 2014; Accepted 12 February 2014; Published 23 March 2014

Academic Editor: Masoud Hajarian

Copyright © 2014 You-Qin Huang 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

  1. W. Sochacki, “The dynamic stability of a stepped cantilever beam with attachments,” Journal of Vibroengineering, vol. 15, pp. 280–290, 2013. View at Google Scholar
  2. C. F. J. Kuo, H. M. Tu, V. Q. Huy et al., “Dynamic stability analysis and vibration control of a rotating elastic beam connected with an end mass,” International Journal of Structural Stability and Dynamics, vol. 13, Article ID 1250066, 24 pages, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  3. P. A. Bosela, N. J. Delatte, and K. L. Rens, Forensic Engineering, ASCE, New York, NY, USA, 2006.
  4. B. R. Ellingwood, R. Smilowitz, D. O. Dusenberry et al., “Best practices for reducing the potential for progressive collapse in buildings,” NISTIR 7396, 2007. View at Google Scholar
  5. N. M. Beliaev, “Stability of prismatic rods subjected to variable longitudinal forces,” in Collection of Papers: Engineering Constructions and Structural Mechanics, pp. 149–167, Put’, Leningrad, Russia, 1924. View at Google Scholar
  6. N. M. Krylov and N. N. Bogoliubov, “Calculations of the vibrations of frame construction with the consideration of normal forces and with the help of the methods of nonlinear mechanics,” in Collection of Papers: Investigation of Vibration of Structures, pp. 5–24, ONTI, Karkov/Kiev, 1935. View at Google Scholar
  7. N. M. Krylov and N. N. Bogoliubov, “An investigation of the appearance of resonance of the transverse vibrations of rods due to the action of normal periodic forces on an end,” in Collection of Papers: Investigation of Vibration of Structures, pp. 25–42, ONTI, Karkov/Kiev, 1935. View at Google Scholar
  8. Z. Shtokalo, Linear Differential Equations With Variable Coefficients: Criteria of Stability and unStability of Their Solutions, Hindustan Publishing Corporation, New York, NY, USA, 1961.
  9. N. W. McLachlan, Theory and Application of Mathieu Functions, Dover, New York, NY, USA, 1964. View at MathSciNet
  10. V. V. Bolotin, The Dynamic Stability of Elastic Systems, Holden-Day, Inc, San Francisco, Calif, USA, 1964.
  11. L. Briseghella, C. E. Majorana, and C. Pellegrino, “Dynamic stability of elastic structures: a finite element approach,” Computers and Structures, vol. 69, no. 1, pp. 11–25, 1998. View at Google Scholar · View at Scopus
  12. J. H. Yang and Y. M. Fu, “Analysis of dynamic stability for composite laminated cylindrical shells with delaminations,” Composite Structures, vol. 78, no. 3, pp. 309–315, 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. W. Sochacki, “The dynamic stability of a simply supported beam with additional discrete elements,” Journal of Sound and Vibration, vol. 314, no. 1-2, pp. 180–193, 2008. View at Publisher · View at Google Scholar · View at Scopus
  14. T. Yan, S. Kitipornchai, and J. Yang, “Parametric instability of functionally graded beams with an open edge crack under axial pulsating excitation,” Composite Structures, vol. 93, no. 7, pp. 1801–1808, 2011. View at Publisher · View at Google Scholar · View at Scopus
  15. R. W. Clough and J. Penzien, Dynamics of Structures, Computers and Structures, Berkeley, Calif, USA, 2nd edition, 2010.
  16. E. Kreyszig, Advanced Engineering Mathematics, Wiley, Hoboken, NJ, USA, 2011.
  17. W. C. Xie, Dynamic Stability of Structures, Cambridge University Press, Cambridge, UK, 2011.
  18. D. Younesian, E. Esmailzadeh, and R. Sedaghati, “Asymptotic solutions and stability analysis for generalized non-homogeneous Mathieu equation,” Communications in Nonlinear Science and Numerical Simulation, vol. 12, no. 1, pp. 58–71, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  19. Y. Li, S. C. Fan, Z. S. Guo et al., “Mathieu equation with application to analysis of dynamic characteristics of resonant inertial sensors,” Communications in Nonlinear Science, vol. 18, pp. 401–410, 2013. View at Google Scholar · View at MathSciNet
  20. C. E. Majorana and B. Pomaro, “Dynamic stability of an elastic beam with visco-elasto-damaged translational and rotational supports,” Journal of Engineering Mechanics, vol. 138, pp. 582–590, 2012. View at Google Scholar
  21. M. S. Ali and P. Balasubramaniam, “Exponential stability of time-delay systems with nonlinear uncertainties,” International Journal of Computer Mathematics, vol. 87, no. 6, pp. 1363–1373, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  22. M. H. Ilyasov, “Parametric vibrations and stability of viscoelastic shells,” Mechanics of Time-Dependent Materials, vol. 14, no. 2, pp. 153–171, 2010. View at Publisher · View at Google Scholar · View at Scopus
  23. S. C. Mohanty, “Static and dynamic stability analysis of a functionally graded Timoshenko beam,” International Journal of Structural Stability and Dynamics, vol. 12, Article ID 1250025, 33 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  24. E. Simiu and R. H. Scanlan, Wind Effects on Structures: An Introduction to Wind Engineering, Wiley, Hoboken, NJ, USA, 2nd edition, 1986.
  25. J. D. Holmes, Wind Loading of Structures, CRC Press, Boca Raton, Fla, USA, 2nd edition, 2007.
  26. M. Zamanzadeh, G. Rezazadeh, I. Jafarsadeghi-poornaki et al., “Static and dynamic stability modeling of a capacitive FGM micro-beam in presence of temperature changes,” Applied Mathematical Modelling, vol. 37, pp. 6964–6978, 2013. View at Google Scholar · View at MathSciNet
  27. X. Y. Zhou, P. Huang, M. Gu, and F. Mi, “Wind loads and responses of two neighboring dry coal sheds,” Advances in Structural Engineering, vol. 14, no. 2, pp. 207–221, 2011. View at Publisher · View at Google Scholar · View at Scopus