Dynamic Analysis of Non-Linear Structures by the Method of Statistical Quadratization: 57 (Lecture Notes in Engineering, 57) - Softcover

Donley, M.G.; Spanos, Pol

Softcover

ISBN 10: 3540527435 ISBN 13: 9783540527435

Publisher: Springer, 1990

Synopsis

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.

About this title

Synopsis

This text deals with a new technique for the dynamic analysis of nonlinear structures. A special feature is the technique of equivalent quadratization, which allows engineers to deal with complex nonlinear problems in a systematic manner. The applicability of this method is especially important for dealing with offshore structures which are exposed to nonlinear forces due to waves. The reader is expected to have a fundamental knowledge of calculus and some background in the area of random variables and stochastic processes. The book is intended for engineers and applied scientists who deal with nonlinear vibrations and have particular interest in the area of offshore engineering.

Edition details

• Publisher: Springer
• Publication date: 1990
• Language: English
• ISBN 10: 3540527435
• ISBN 13: 9783540527435
• Binding: Paperback
• Number of pages: 179