| Autor: |
Masato TANAKA, Takashi SASAGAWA, Ryuji OMOTE, Fumio FUJII |
| Jazyk: |
japonština |
| Rok vydání: |
2018 |
| Předmět: |
|
| Zdroj: |
Nihon Kikai Gakkai ronbunshu, Vol 84, Iss 868, Pp 18-00346-18-00346 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
2187-9761 |
| DOI: |
10.1299/transjsme.18-00346 |
| Popis: |
To diagnose hill-top branching and multiple bifurcation, which exhibit two critical eigenvalues of the tangent stiffness matrix in stability problems, a sophisticated computational asymptotic bifurcation theory is developed. The theory generally uses three modes which are composed of two homogeneous solutions (critical eigenvectors) and one particular solution of the singular stiffness equations. The first- and second-order derivatives of the stiffness matrix with respect to nodal degrees-of-freedom (DoF) are required to formulate the proposed computational asymptotic bifurcation theory. In two benchmark problems of hill-top branching and multiple bifurcation, the validation and performance of the proposed theory are discussed. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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