Experimentally observed bifurcation diagrams

Kiyohiro Ikeda, Kazuo Murota

研究成果: Chapter

抄録

There is a qualitative gap between mathematical bifurcation diagrams and experimentally observed force versus displacement curves. This chapter introduces a procedure to fill this gap by extending the Koiter law for describing imperfection sensitivity at a pitchfork bifurcation point. This procedure is applied to a truss dome structure and sand specimens. Chapters 2 and 3 are foundations of this chapter. This chapter is extended to a system with group symmetry in Chap. 9 and is applied to the imperfect bifurcation of cylindrical specimens in Chap. 14.

本文言語English
ホスト出版物のタイトルApplied Mathematical Sciences (Switzerland)
出版社Springer
ページ141-164
ページ数24
DOI
出版ステータスPublished - 2019 1 1

出版物シリーズ

名前Applied Mathematical Sciences (Switzerland)
149
ISSN(印刷版)0066-5452
ISSN(電子版)2196-968X

ASJC Scopus subject areas

  • 応用数学

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