GENERALIZED VARIATIONAL PRINCIPLE ON NONLINEAR THEORY OF NATURALLY CURVED AND TWISTED CLOSED THIN-WALLED COMPOSITE BEAMS

被引:0
|
作者
虞爱民
机构
关键词
generalized variational principle; geometric nonlinear; finite displacement;
D O I
暂无
中图分类号
O342 [结构力学];
学科分类号
080102 ;
摘要
Naturally curved and twisted closed thin_walled slender beams of composite material undergoing small strains, large displacements and rotations have been investigated, and an incomplete generalized variational function on theory of elasticity with finite displacement is established for these beams with complete constrained boundaries at two ends. The balance equations as well as all boundary conditions concerned have been deduced from functional stationary value condition. The above_mentioned method can also be extended to other various incomplete constrained boundaries conveniently. In addition, the fundamental equations and concerned formulas in the small displacement theory of the beams can be derived by using above results.
引用
收藏
页码:327 / 334
页数:8
相关论文
共 50 条
  • [1] Generalized variational principle on nonlinear theory of naturally curved and twisted closed thin-walled composite beams
    Yu, AM
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (03) : 327 - 334
  • [2] Generalized variational principle on nonlinear theory of naturally curved and twisted closed thin-walled composite beams
    Yu Aimin
    [J]. Applied Mathematics and Mechanics, 2000, 21 (3) : 327 - 334
  • [3] Generalized variational principle on nonlinear theory of naturally curved and twisted beams
    Tang, SG
    Yu, AM
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (01) : 275 - 288
  • [4] An improved model for naturally curved and twisted composite beams with closed thin-walled sections
    Yu, A. M.
    Yang, J. W.
    Nie, G. H.
    Yang, X. G.
    [J]. COMPOSITE STRUCTURES, 2011, 93 (09) : 2322 - 2329
  • [5] Theory and Application of Naturally Curved and Twisted Beams with Closed Thin-Walled Cross Sections
    Yu, Aimin
    Yang, Rongqiang
    Hao, Ying
    [J]. STROJNISKI VESTNIK-JOURNAL OF MECHANICAL ENGINEERING, 2009, 55 (12): : 733 - 741
  • [6] Theory of initially twisted, composite, thin-walled beams
    Yu, WB
    Liao, L
    Hodges, DH
    Volovoi, VV
    [J]. THIN-WALLED STRUCTURES, 2005, 43 (08) : 1296 - 1311
  • [7] An asymptotically correct model for initially curved and twisted thin-walled composite beams
    Roy, Sitikantha
    Yu, Wenbin
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (11-12) : 4039 - 4052
  • [8] Generalized variational principle of dynamic analysis on naturally curved and twisted box beams for anisotropic materials
    Yu, Aimin
    Yang, Changjin
    [J]. MECCANICA, 2008, 43 (06) : 611 - 622
  • [9] Generalized variational principle of dynamic analysis on naturally curved and twisted box beams for anisotropic materials
    Aimin Yu
    Changjin Yang
    [J]. Meccanica, 2008, 43
  • [10] Unified theory for curved composite thin-walled beams and its isogeometrical analysis
    Cardenas, Diego
    Elizalde, Hugo
    Carlos Jauregui-Correa, Juan
    Piovan, Marcelo T.
    Probst, Oliver
    [J]. THIN-WALLED STRUCTURES, 2018, 131 : 838 - 854