In-plane nonlinear multiple equilibria and switches of equilibria of pinned–fixed arches under an arbitrary radial concentrated load

作者： | Airong Liu, Mark Andrew Bradford, Yong-Lin Pi |

作者单位： |
^{1}Guangzhou University^{2}UNSW Sydney |

刊名： | Archive of Applied Mechanics, 2017, Vol.87 (11), pp.1909-1928 |

来源数据库： | Springer Journal |

DOI： | 10.1007/s00419-017-1300-7 |

关键词： | Arbitrary concentrated load; Arches; Limit point buckling; Load position; Multiple equilibria; Nonlinear; Pinned–fixed ends; |

英文摘要： | Nonlinear in-plane multiple equilibria and buckling of pinned–fixed shallow circular arches under an arbitrary radial concentrated load are investigated. Analytical solutions for the multiple nonlinear equilibria, buckling and limit points are derived. New findings are: (1) pinned–fixed shallow arches under the arbitrary concentrated load have multiple stable and unstable equilibria; (2) the position of the arbitrary concentrated load and the modified slenderness of the arch influence the number of multiple equilibria and limit points as well as the first buckling load significantly; (3) a pinned–fixed arch under the arbitrary concentrated load can buckle in a limit point instability mode, but not in a bifurcation mode; (4) when the load is located between the crown and the pinned end,... |

原始语种摘要： | Nonlinear in-plane multiple equilibria and buckling of pinned–fixed shallow circular arches under an arbitrary radial concentrated load are investigated. Analytical solutions for the multiple nonlinear equilibria, buckling and limit points are derived. New findings are: (1) pinned–fixed shallow arches under the arbitrary concentrated load have multiple stable and unstable equilibria; (2) the position of the arbitrary concentrated load and the modified slenderness of the arch influence the number of multiple equilibria and limit points as well as the first buckling load significantly; (3) a pinned–fixed arch under the arbitrary concentrated load can buckle in a limit point instability mode, but not in a bifurcation mode; (4) when the load is located between the crown and the pinned end,... |