Abstract
The solution of generalized eigenvalue problems based on finite element models of ships and offshore structures like North Sea oil drilling platforms, is important in the analysis of design and structural safety. A few examples of such problems and their solution within the framework of SESAM'80, a large commercial finite element package developed by Det norske Veritas [7], is presented and compared with preliminary results using the Lanczos method.
Keywords
- Finite Element Model
- Offshore Structure
- Generalize Eigenvalue Problem
- Lanczos Method
- Finite Element Analysis Package
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
BATHE, K.J. and WILSON, E.L.: "Numerical methods in finite element analysis." Prentice Hall, 1976.
BELL, K., HATLESTAD, B., HANSTEEN, O.E. and ARALDSEN, P.O.: "NORSAM User's Manual, Part 1 — General Description." Trondheim 1973.
CALLAGHER, R.M.: "Approximation procedures, reduced stiffness and mass matrices. Substructuring. Component mode synthesis." Course on advanced topics in finite element analysis, St. Margherita, Italy, June 3–7, 1974. Lecture series N.1/7, International centre for computer aided design, Genova.
CRAIG, R.R. and Bampton, M.C.C.: "Coupling of substructures for dynamic analysis." AIAA Journal, Vol. 6, No. 7, 1968.
HENSHELL, R.D. and ONG, I.M.: "Automatic masters for eigenvalue economization." Earhtq. Engng. Struct. Dyn., Vol. 3, 375–383, 1975.
SCOTT, D.S.: "Block Lanczos software for symmetric eigenvalue problems." Computer Sciences Division, Oak Ridge National Laboratory, Nov.1979.
SESAM'80, Project Description. October 1981. Computas, 1322 Høvik, Norway.
SKAAR, K.T. and CARLSEN, C.A.: "Modelling aspects for finite element analysis of ship vibration." Computer and Structures, Vol. 12, 409–419, 1980.
ZIENKIEWICZ, O.C.: "The finite element method". Chapter 20.5, third edition. McGraw Hill 1977.
Editor information
Rights and permissions
Copyright information
© 1983 Springer-Verlag
About this paper
Cite this paper
Aasland, L., Bjørstad, P. (1983). The generalized eigenvalue problem in shipdesign and offshore industry — a comparison of traditional methods with the lanczos process. In: Kågström, B., Ruhe, A. (eds) Matrix Pencils. Lecture Notes in Mathematics, vol 973. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062099
Download citation
DOI: https://doi.org/10.1007/BFb0062099
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11983-8
Online ISBN: 978-3-540-39447-1
eBook Packages: Springer Book Archive