© 1990

Dynamic Analysis of Non-Linear Structures by the Method of Statistical Quadratization


Part of the Lecture Notes in Engineering book series (LNENG, volume 57)

Table of contents

  1. Front Matter
    Pages N2-VII
  2. M. G. Donley, P. D. Spanos
    Pages 1-13
  3. M. G. Donley, P. D. Spanos
    Pages 58-94
  4. M. G. Donley, P. D. Spanos
    Pages 147-150
  5. Back Matter
    Pages 151-177

About this book


1. 1 Introduction As offshore oil production moves into deeper water, compliant structural systems are becoming increasingly important. Examples of this type of structure are tension leg platfonns (TLP's), guyed tower platfonns, compliant tower platfonns, and floating production systems. The common feature of these systems, which distinguishes them from conventional jacket platfonns, is that dynamic amplification is minimized by designing the surge and sway natural frequencies to be lower than the predominant frequencies of the wave spectrum. Conventional jacket platfonns, on the other hand, are designed to have high stiffness so that the natural frequencies are higher than the wave frequencies. At deeper water depths, however, it becomes uneconomical to build a platfonn with high enough stiffness. Thus, the switch is made to the other side of the wave spectrum. The low natural frequency of a compliant platfonn is achieved by designing systems which inherently have low stiffness. Consequently, the maximum horizontal excursions of these systems can be quite large. The low natural frequency characteristic of compliant systems creates new analytical challenges for engineers. This is because geometric stiffness and hydrodynamic force nonlinearities can cause significant resonance responses in the surge and sway modes, even though the natural frequencies of these modes are outside the wave spectrum frequencies. High frequency resonance responses in other modes, such as the pitch mode of a TLP, are also possible.


Fundament Mann calculus linear optimization linearity model offshore engineering simulation structure vibration

Authors and affiliations

  1. 1.Structural Dynamics Research CorporationMilfordUSA
  2. 2.Brown School of EngineeringRice UniversityHoustonUSA

Bibliographic information

  • Book Title Dynamic Analysis of Non-Linear Structures by the Method of Statistical Quadratization
  • Authors M.G. Donley
    Pol Spanos
  • Series Title Lecture Notes in Engineering
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-52743-5
  • eBook ISBN 978-3-642-46715-8
  • Series ISSN 0176-5035
  • Edition Number 1
  • Number of Pages VII, 172
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Mathematical and Computational Engineering
  • Buy this book on publisher's site
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