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

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 co...

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Bibliographic Details
Main Authors: Donley, M.G., Spanos, Pol (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1990, 1990
Edition:1st ed. 1990
Series:Lecture Notes in Engineering
Subjects:
Engineering Mathematics
Engineering / Data Processing
Mathematical And Computational Engineering Applications
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1: Introduction
  • 1.1 Introduction
  • 1.2 Aim of Study
  • 1.3 TLP Model
  • 1.4 Environmental Loads
  • 1.5 Literature Review of TLP Analyses
  • 1.6 Scope of Study
  • 2: Equivalent Stochastic Quadratization for Single-Degree-of-Freedom Systems
  • 2.1 Introduction
  • 2.2 Analytical Method Formulation
  • 2.3 Derivation of Linear and Quadratic Transfer Functions
  • 2.4 Response Probability Distribution
  • 2.5 Response Spectral Density
  • 2.6 Solution Procedure
  • 2.7 Example of Application
  • 2.8 Summary and Conclusions
  • 3: Equivalent Stochastic Quadratization for Multi-Degree-of-Freedom Systems
  • 3.1 Introduction
  • 3.2 Analytical Method Formulation
  • 3.3 Derivation of Linear and Quadratic Transfer Functions
  • 3.4 Response Probability Distribution
  • 3.5 Response Spectral Density
  • 3.6 Solution Procedure
  • 3.7 Reduced Solution Analytical Method
  • 3.8 Example of Application
  • 3.9 Summary and Conclusions
  • 4: Potential Wave Forces on a Moored Vertical Cylinder
  • 7: Summary and Conclusions
  • Appendix A: Gram-Charlier Coefficients
  • A.1 Introduction
  • A.2 Gram-Charlier Coefficients
  • Appendix B: Evaluation of Expectations
  • B.1 Introduction
  • B.2 Expectations Involving Quadratic Nonlinearity
  • B.3 High Order Central Moments
  • Appendix C: Pierson-Moskowitz Wave Spectrum
  • Appendix D: Simulation Methods
  • D.1 Introduction
  • D.2 Linear Wave Simulation
  • D.3 Linear Wave Force Simulation
  • D.4 Drag Force Simulation
  • D.5 Quadratic Wave Force Simulation
  • References:
  • 4.1 Introduction
  • 4.2 Volterra Series Force Description
  • 4.3 Near-Field Approach for Deriving Potential Forces
  • 4.4 Linear Velocity Potential
  • 4.5 Added Mass Force
  • 4.6 Linear Force Transfer Functions
  • 4.7 Quadratic Force Transfer Functions
  • 4.8 Transfer Functions for Tension Leg Platform
  • 4.9 Summary and Conclusions
  • 5: Equivalent Stochastic Quadratization for Tension Leg Platform Response to Viscous Drift Forces
  • 5.1 Introduction
  • 5.2 Formulation of TLP Model
  • 5.3 Analytical Method Formulation
  • 5.4 Derivation of Linear and Quadratic Transfer Functions
  • 5.5 Response Probability Distribution
  • 5.6 Response Spectral Density
  • 5.7 Axial Tendon Force
  • 5.8 Solution Procedure
  • 5.9 Numerical Example
  • 5.10 Summary and Conclusions
  • 6: Stochastic Response of a Tension Leg Platform to Viscous and Potential Drift Forces
  • 6.1Introduction
  • 6.2 Analytical Method Formulation
  • 6.3 Numerical Results
  • 6.4 Summary and Conclusions

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