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Large deflection of curved elastic beams made of Ludwick type material
  • ISSN号:0253-4827
  • 期刊名称:《应用数学和力学:英文版》
  • 时间:0
  • 分类:O343.5[理学—固体力学;理学—力学]
  • 作者机构:School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China
  • 相关基金:Project supported by the National Natural Science Foundation of China (Nos. 11472035 and 11472034).
中文摘要:

一个向轴的方向的大偏转有一张矩形的剖面图的可扩展的弄弯的横梁被调查。有弹性的横梁被假定满足 Euler-Bernoulli 假定并且用 Ludwick 类型材料做的。通过相当简化的集成,横梁的轴的紧张和弯曲在含蓄的明确的表达被介绍。包含的管理方程几何并且弄弯的横梁的材料非线性被射击方法导出并且解决。当横梁的起始的弯曲是零时,弄弯的横梁被堕落进一根直横梁,并且现在的模型获得的预言的结果与在开的文学的那些一致。数字例子进一步为弄弯的伸臂被给并且简单地支持在延伸之间的横梁,和 couplings 并且弯曲被作出对有利的裁决弄弯的横梁。

英文摘要:

The large deflection of an axially extensible curved beam with a rectangular cross-section is investigated. The elastic beam is assumed to satisfy the Euler-Bernoulli postulation and be made of the Ludwick type material. Through reasonably simplified integration, the strain and curvature of the axis of the beam are presented in implicit formulations. The governing equations involving both geometric and material nonlin- earities of the curved beam are derived and solved by the shooting method. When the initial curvature of the beam is zero, the curved beam is degenerated into a straight beam, and the predicted results obtained by the present model are consistent with those in the open literature. Numerical examples are further given for curved cantilever and simply supported beams, and the couplings between elongation and bending are found for the curved beams.

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期刊信息
  • 《应用数学和力学:英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编:周哲玮
  • 地址:上海市宝山区上大路99号上海大学122信箱
  • 邮编:200444
  • 邮箱:amm@department.shu.edu.cn
  • 电话:021-66135219 66165601
  • 国际标准刊号:ISSN:0253-4827
  • 国内统一刊号:ISSN:31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论(网络版),波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引(扩展库),英国科学文摘数据库,日本日本科学技术振兴机构数据库,美国应用力学评论
  • 被引量:541