OJCE  Vol.3 No.4 , December 2013
Seismic Response and Stability Analysis of Single Hinged Articulated Tower

Study of dynamic stability phenomenon in transient systems has always created interest amongst the researchers because of its inherent non-linearities. Offshore structures subjected to wave, earthquake or wind loads or a combination of these loads show non-linear transient behaviour. As oceanic waves are better modelled as stochastic process, there is a need to investigate the stochastic stability of flexible offshore structures as well. Present study has been carried out to determine seismic response of Single Hinged Articulated Tower (SHAT) under different categories of wave loads and earthquake followed by its dynamic stability analysis. Different phases of wave/earthquake loading on SHAT have been explored to investigate dynamic instabilities existing during each phase. Two dimensional phase plots have been used to identify phases of dynamic instability existing within the responses of SHAT under various conditions of loading.

Cite this paper: P. Atreya, N. Islam, M. Alam and S. Hasan, "Seismic Response and Stability Analysis of Single Hinged Articulated Tower," Open Journal of Civil Engineering, Vol. 3 No. 4, 2013, pp. 234-241. doi: 10.4236/ojce.2013.34028.

[1]   A. K. Banik and T. K. Datta, “Stochastic Response and Stability of Single Leg Articulated Tower,” Proceeding of International Conference on Offshore Mechanics and Arctic Engineering (OMAE), Cancun, 8-13 June 2003, pp. 431-438.

[2]   A. K. Banik and T. K. Datta, “Stability Analysis of an Articulated Loading Platform in Regular Sea,” Journal of Computational Nonlinear Dynamics, ASME, Vol. 3, No. 1, 2009, 9 p.

[3]   A. K. Banik, “Dynamic Stability Analysis of Compliant Offshore Structures,” IIT, Delhi, 2004.

[4]   H. Lina, T. Youngang and Y. I. Cong, “Seismic Response Analysis of Articulated Tower Platform in the Still Water,” China Offshore Platform, Period 03, 2006.

[5]   Chandrasekaran and S. Gaurav, “Offshore Triangular TLP Earthquake Motion Analysis under Distinctly High Sea Waves,” International Journal of Ships and Offshore Structures, Vol. 3, No. 3, 2008, pp. 173-184.

[6]   S. D. Hasan, N. Islam and K. Moin, “Multi-Hinged Articulated Offshore Tower under Vertical Ground Excitation,” ASCE Journal of Structural Engineering, Vol. 137, No. 4, 2011, pp. 469-480.

[7]   P. Friedmann, C. E. Hammond and T.-H. Woo, “Efficient Numerical Treatment of Periodic Systems with Application to Stability Problems,” International Journal for Numerical Methods in Engineering, Vol. 11, No. 7, 1977, pp. 1117-1136.

[8]   L. O. Chua and A. Ushida, “Algorithms for Comuting Almost Periodic Steady-State Response of Nonlinear Systems to Multiple Input Frequencies,” IEEE Transactions on Circuits and Systems, Vol. 28, No. 10, 1981, pp. 953-971.

[9]   T. D. Burton, “Nonlinear Oscillator Limit Cycle Analysis Using a Finite Transformation Approach,” International Journal of Nonlinear Mechanics, Vol. 17, No. 1, 1982, pp. 7-19.

[10]   G. Q. Cai, “Random Vibration of Nonlinear Systems under Non-White Excitations,” Journal of Engineering Mechanics, ASCE, Vol. 121, No. 5, 1995, pp. 633-639.

[11]   Y. K. Lin and G. Q. Cai, “Probabilistic Structural Dynamics,” Advanced Theory and Mechanics, McGraw-Hill, New York, 1995.

[12]   M. N. Hamdan and T. D. Burton, “On the Steady State Response and Stability of Non-Linear Oscillators Using Harmonic Balance,” Journal of Sound and Vibration, Vol. 166, No. 2, 1993, pp. 255-266.

[13]   B. Rabindra and A. K. Mallik, “Stability Analysis of Non-Linearly Damped Duffing Oscillator,” Journal of Sound and Vibration, Vol. 171, No. 5, 1994, pp. 708-716.

[14]   K. B. Blair, C. M. Krousgrill and T. N. Farris, “Harmonic Balance and Continuation Techniques in the Dynamic Analysis of the Duffing’s Equation,” Journal of Sound and Vibration, Vol. 202, No. 5, 1997, pp. 717-731.

[15]   P. Yu and Q. Bi, “Analysis of Nonlinear Dynamics and Bifurcations of a Double Pendulum,” Journal of Sound and Vibration, Vol. 217, No. 4, 1998, pp. 691-736.

[16]   A. B. M. Islam Saiful, “Nonlinear Dynamic Behaviour of Fully Coupled SPAR Platform,” PhD. Thesis, University of Malaya, Kuala Lumpur, 2013.

[17]   S. K. Chakrabarti, “Stability Analysis of Interaction of an Articulated Tower with Waves,” Proceedings of Fluid Interaction, Heikidiki, Greece, Vol. 1, 2001, pp. 281-292.

[18]   S. Chakrabarti and D. Cotter, “Motion Analysis of Articulated Tower,” Journal of Waterway, Port, Coastal and Ocean Division, ASCE, Vol. 105, 1979, pp. 281-292.

[19]   M. Jameel and S. Ahmad, “Fatigue Reliabilitry Assesment of Coupled Spar-Mooring System,” Paper Presented at the ASME 30th International Conference on Ocean, Offshore and Arctic Engineering (OMAE 201149687), Rotterdam, 2011.

[20]   A. K. Mallik and J. K. Bhattacharjee, “Stability Problems in Applied Mechanics,” Narosa Publishing House, 2005.