留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

悬臂梁在倾斜载荷作用下的弹塑性大挠度分析

栾丰 余同希

栾丰, 余同希. 悬臂梁在倾斜载荷作用下的弹塑性大挠度分析[J]. 应用数学和力学, 1991, 12(6): 515-522.
引用本文: 栾丰, 余同希. 悬臂梁在倾斜载荷作用下的弹塑性大挠度分析[J]. 应用数学和力学, 1991, 12(6): 515-522.
Luan Feng, Yu Tong-xi. An Analysis of the Large Deflection of an Elastic-Plastic Cantilever Subjected to an Inclined Concentrated Force[J]. Applied Mathematics and Mechanics, 1991, 12(6): 515-522.
Citation: Luan Feng, Yu Tong-xi. An Analysis of the Large Deflection of an Elastic-Plastic Cantilever Subjected to an Inclined Concentrated Force[J]. Applied Mathematics and Mechanics, 1991, 12(6): 515-522.

悬臂梁在倾斜载荷作用下的弹塑性大挠度分析

An Analysis of the Large Deflection of an Elastic-Plastic Cantilever Subjected to an Inclined Concentrated Force

  • 摘要: 作为Plastica理论[12]的应用,本文分析了理想弹塑性矩形截面梁在自由端承受倾斜集中力作用时塑性区扩展阶段的大挠度变形.着重讨论了集中力的倾角对弯曲形状、载荷—挠度关系及塑性区长度的影响.结果用解析解和数值解同时给出.
  • [1] Frisch-Fay,R.,Flexible Bars,Butterworth,Washington,D.C.(1962).
    [2] Wang,C.Y.and L.T.Watson,On the large deformations of C-shaped springs,Int.J.Mech.Sci.22(1980),395-400.
    [3] Wang,C.Y.,Folding of elastica:similarity solutions,J.Appl.Mech.,48(1981),199-200.
    [4] Wang,C.Y.and L.T.Watson,The elastic catenary,Int.J.Mech.Sci.,24(1982),349-357.
    [5] Wang,C.Y.Buckling and postbuckling of the lying sheet,Int.J.Solids Structures,20(1984),351-358.
    [6] Golley,B.W.,Large deflections of bars bent through frictionless supports,Int.J.Non-Linear Mech.,19,1(1984),1-9.
    [7] Oden,J.T.and S.B.Childs,Finite deflections of a nonlinearly elastic bar,J.Appl.Mech.,37(1970),48-52.
    [8] Parathap,G.and T.K.Varadan,The inelastic large deformation of beams,J.Appl.Mech.,43(1976),689-690.
    [9] Lo,C.C.and S.D.Gupta,Bending of a nonlinear rectangular beam in large deflection,J.Appl.Mech.,45(1978),213-215.
    [10] Monasa,F.E.,Deflections and stability behaviour of elasto-plastic flexible bars,J.Appl.Mech.,41(1974),537-538.
    [11] Monasa,F.E.,Deflections of postbuckled unloaded elasto-plastic thin vertical columns,Int.J.Solids Structures,16(1980),757-765.
    [12] Yu,T.X.and W.Johnson,The Plastica:the large elastic-plastic deflection of a strut,Int.J.Non-Linear Mech.,17(1982),195-209.
    [13] 伍小强、余同希,悬臂梁弹塑性大挠度全过程的分析,力学学报,18, 6 (1986),516-527;Acta Mech, Sinica (English Ed.),2(1986), 333-347.
    [14] Yu,T.X.and W.Johnson,The influence of axial force on the elastic-plastic bending and spring-back of a beam,J.Mech.Working Tech.,6(1982),5-21.
  • 加载中
计量
  • 文章访问数:  2261
  • HTML全文浏览量:  101
  • PDF下载量:  898
  • 被引次数: 0
出版历程
  • 收稿日期:  1990-04-03
  • 刊出日期:  1991-06-15

目录

    /

    返回文章
    返回