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Imperfect bifurcation in structures and materials : engineering use of group-theoretic bifurcation theory / Kiyohiro Ikeda, Kazuo Murota.

Math/Physics/Astronomy Library QA1 .A647 v.149 2010
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Format:
Book
Author/Creator:
Ikeda, Kiyohiro.
Contributor:
Murota, Kazuo, 1955-
Series:
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 149.
Applied mathematical sciences (Springer-Verlag New York Inc.)
Language:
English
Subjects (All):
Engineering mathematics.
Bifurcation theory.
Structural analysis (Engineering)--Mathematical models.
Structural analysis (Engineering).
Physical Description:
xx, 517 pages : illustrations ; 25 cm.
Edition:
Second edition.
Place of Publication:
New York : Springer, [2010]
Contents:
1. Overview of book
Pt. I. Imperfect behavior at simple critical points: 2. Critical points and local behavior ; 3. Imperfection sensitivity laws ; 4. Worst imperfection (I) ; 5. Random imperfection (I) ; 6. Experimentally observed bifurcation diagrams
Pt. II. Imperfect bifurcation of symmetric systems: 7. Group-theoretic bifurcation theory ; 8. Bifurcation behavior of Dn-equivariant systems ; 9. Worst imperfection (II) ; 10. Random imperfection (II) ; 11. Description and computation of bifurcation behaviors ; 12. Efficient transformation for block-diagonalization
Pt. III. Modeling of bifurcation phenomena: 13. Bifurcation of cylindrical sand specimens ; 14. Echelon-mode formation ; 15. Bifurcation of steel specimens ; 16. Flower patterns on honeycomb structures.
Notes:
Includes bibliographical references (pages 501-510) and index.
ISBN:
9781441970756
1441970754
OCLC:
646114425

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