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TECHNICAL PAPERS

Full Dynamic Analysis of Offshore Platform Structures Using Exact Timoshenko Pipe Element

[+] Author and Article Information
A. M. Horr

Faculty of Engineering, IK International University, Ghazvin, Iran

M. Safi

Civil Engineering Department, AmirKabir University of Technology, Tehran, Iran

J. Offshore Mech. Arct. Eng 125(3), 168-175 (Jul 11, 2003) (8 pages) doi:10.1115/1.1577357 History: Received November 01, 2001; Revised July 01, 2002; Online July 11, 2003
Copyright © 2003 by ASME
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References

Doyle, J. F., 1989, Wave Propagation in Structures, Springer-Verlag, Berlin.
Doyle, J. F., and Farris, T. N., 1990, “A Spectrally Formulated Finite Element For Flexural Wave Propagation in Beams,” Int. J. of Analytical and Experimental Modal Analysis, pp. 99–107.
Gopalakrishnan, S., Martin, M., and Doyle, J. F., 1992, “A Matrix Methodology For Spectral Analysis of Wave Propagation in Multiple Connected Timoshenko Beams,” J. Sound Vib., pp. 11–24.
Horr, A. M., 1995, “Energy Absorption in Structural Frames,” Ph.D. Dissertation, University of Wollongong, Australia.
Horr,  A. M., and Schmidt,  L. C., 1996, “Dynamic Response of a Damped Large Space Structure: A New Fractional-Spectral Approach,” Int. J. Space Struct., 10(2), pp. 134–141.
Horr,  A. M., and Schmidt,  L. C., 1996, “Modeling of Non-Linear Damping Characteristic of a Viscoelastic Structural Damper,” Int. J. Engrg. Struct., 18 (2), pp. 154–161.
Horr,  A. M., and Schmidt,  L. C., 1997, “Complex Fractional-Spectral Method for Space Curved Struts: Theory and Application,” Int. J. Space Struct., 12(2), pp. 59–67.
Horr,  A. M., and Schmidt,  L. C., 1996, “Frequency Domain Dynamic Analysis of Large Space Structures With Added Elastomeric Dampers,” Int. J. Space Struct., 11(3), pp. 279–289.
Horr,  A. M., and Schmidt,  L. C., 1995, “Closed Form Solution for the Timoshenko Theory Using A Computer Based Mathematical Package,” Int. J. Computers & Struct., 55 (3), pp. 405–412.
Timoshenko,  S. P., 1921, “On the Correction for Shear of the Differential Equation for Transverse Vibrations of Prismatic Bars,” Philos. Mag., 41, pp. 744–746.
Horr, A. M., 1995, “A Non-Linear Damping Model for Design of a Satellite Antenna,” First Conf. Space Tech. & Developing Countries, Tehran, Iran, Vol. 1, pp. 233–239.
Horr,  A. M., and Schmidt,  L. C., 1996, “A Fractional-Spectral Method for Vibration of Damped Space Structures,” Int. J. of Engineering Structure, 18 (2), pp. 947–956.
Bathe, K. J., 1982, Finite Element Procedure in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ.
Cowper, G. R., 1966, “The Shear Coefficient in Timoshenko’s Beam Theory,” ASME J. Appl. Mech., pp. 335–340.
Hutchinson,  J. R., 1986, “Vibration of Free Hollow Circular Cylinders,” ASME J. Appl. Mech., 53, pp. 641–646.
Ansys General Purpose Finite Element Program, Revision 5.4, 1997, Swanson Analysis Systems, Inc, Houston, PA.

Figures

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Conventional pipe element
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Sixth order polynomial equation used for shape factor interpolation
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Side view of finite element model for offshore platform structure
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Perspective view of finite element model for offshore platform structure
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Closed view of pipe and shell elements used to model platform deck
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First natural mode shape for platform structure
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Second natural mode shape for platform structure
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Third natural mode shape for platform structure
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Artificial accelerogram time history
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Comparison of lateral displacements at El. 93 for two analytical models
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Comparison of lateral displacements at El. 85 for two analytical models    

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