Abstract
This paper analyses the static and dynamic buckling behavior of a simplified 2-DOF model of a cable stayed tower with emphasis on the safety of the pre-buckling solutions whose stability must be preserved for a safe design. First, the influence of the inherent symmetries of the model on the buckling loads and the post-buckling paths emerging from the bifurcation point is investigated. Then, a global dynamic analysis is conducted to investigate the degree of safety of the static pre-buckling solution. To understand the behavior of the guyed mast in a dynamic environment, a base excitation is considered and the influence of its direction on the escape stability boundary in the force control space is studied. Finally, the erosion and integrity of the basins of attraction of the stable solutions are investigated. The paper shows how the tools of nonlinear dynamics can help in the understanding of the global safety and integrity of the model, thus leading to a safe structural design.
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References
Chan, S.L., Shu, G.P., Lü, Z.T.: Stability analysis and parametric study of pre-stressed stayed columns. Eng. Struct. 24, 115–124 (2002)
Gonçalves, P.B., Santee, D.: Influence of uncertainties on the dynamic buckling loads of structures liable to asymmetric post-buckling behavior, mathematical problems in engineering, p. 24. Article ID 490137 (2008)
Gonçalves, P.B., Silva, F.M.A., Del Prado, Z.J.G.N.: Global stability analysis of parametrically excited cylindrical shells through the evolution of basin boundaries. Nonlinear Dyn. 50, 121–145 (2007)
Gonçalves, P.B., Silva, F.M.A., Rega, G., Lenci, S.: Global dynamics and integrity of a two-dof model of a parametrically excited cylindrical shell. Nonlinear Dyn. 63, 61–82 (2010)
Kahla, N.B.: Nonlinear dynamic response of a guyed tower to a sudden guy rupture. Eng. Struct. 19, 879–890 (1997)
Lenci, S., Rega, G.: Recent advances in control of complex dynamics in mechanical and structural systems. In: Sanjuan, M.A.F., Grebogi, C. (eds.) Recent Progress in Controlling Chaos, Series on Stability Vibration and Control of Systems, vol. 16, pp. 189–237. World Scientific, ISBN 978-981-4291-69-9 (2009)
Lenci, S., Rega, G.: Load carrying capacity of systems within a global safety perspective. Part II. Attractor/basin integrity under dynamic excitations. Int. J. Nonlinear Mech. 46(9), 1240–1251 (2011)
Orlando, D.: Nonlinear dynamics, instability and control of structural systems with modal interaction, PhD dissertation, Pontifícia Universidade Católica do Rio de Janeiro, Brazil (in Portuguese) (2010)
Orlando, D., Gonçalves, P.B., Rega, G., Lenci, S.: Influence of modal coupling on the nonlinear dynamics of Augusti’s model. J. Comput. Nonlinear Dyn. ASME 6(4), 041014-1–041014-11 (2011). doi:10.1115/1.4003880
Soliman, M.S., Thompson, J.M.T.: Integrity measures quantifying the erosion of smooth and fractal basins of attraction. J. Sound Vib. 135, 453–475 (1989)
Thompson, J.M.T., Gaspar, Z.: A buckling model for the set of umbilic catastrophes. Math. Proc. Camb. Philos. Soc. 82, 497 (1977)
Thompson, J.M.T., Hunt, G.W.: Elastic Instability Phenomena. Wiley, London (1984)
Wahba, Y.M.F., Madugula, M.K.S., Monforton, G.R.: Evaluation of non-linear analysis of guyed antenna towers. Comput. Struct. 68, 207–212 (1998)
Xu, Y.L., Ko, J.M., Yu, Z.: Modal analysis of tower-cable system of Tsing Ma long suspension bridge. Eng. Struct. 19, 857–867 (1997)
Yan-Li, H., Xing, M., Zhao-Min, W.: Nonlinear discrete analysis method for random vibration of guyed masts under wind load. J. Wind Eng. Ind. Aerodyn. 91, 513–525 (2003)
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The authors acknowledge the financial support of the Brazilian research agencies CAPES, CNPq and FAPERJ.
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Orlando, D., Gonçalves, P.B., Rega, G., Lenci, S. (2013). Nonlinear Dynamics and Instability as Important Design Concerns for a Guyed Mast. In: Wiercigroch, M., Rega, G. (eds) IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design. IUTAM Bookseries (closed), vol 32. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5742-4_18
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DOI: https://doi.org/10.1007/978-94-007-5742-4_18
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