Bathe K J, Bolourchi S. Large displacement analysis of three-dimensional beam structures[J]. International Journal for Numerical Methods in Engineering, 1979, 14(7): 961―986.
[2]
陈政清, 曾庆元, 颜全胜. 空间杆系结构大挠度问题内力分析的 UL 列式法[J]. 土木工程学报, 1992, 25(5): 34―44. Chen Zhengqing, Zeng Qingyuan, Yan Quansheng. A UL formulation for internal force analysis of special frame structures with large displacement[J]. China Civil Engineering Journal, 1992, 25(5): 34―44. (in Chinese)
[3]
Chen Z Q, Agar T J A. Geometric nonlinear analysis of flexible spatial beam structures[J]. Computers & structures, 1993, 49(6): 1083―1094.
[4]
杨孟刚, 陈政清. 两节点曲线索单元精细分析的非线性有限元法[J]. 工程力学, 2003, 20(1): 42―47. Yang Menggang, Chen Zhengqing. Nonlinear analysis of cable structure using a two-node curved cable element of high precision[J]. Engineering Mechanics, 2003, 20(1): 42―47. (in Chinese)
[5]
杨孟刚, 陈政清. 基于UL列式的两节点悬链线索元非线性有限元分析[J]. 土木工程学报, 2003, 36(8): 63―67. Yang Menggang, Chen Zhengqing. Two-node centenary element for the analysis of cable structure based on UL formula[J]. China Civil Engineering Journal, 2003, 36(8): 63―67. (in Chinese)
[6]
Wen R K, Rahimzadeh J. Nonlinear elastic frame analysis by finite element[J]. Journal of Structural Engineering, 1983, 109(8): 1952―1971.
[7]
Yang Y B, McGuire W. Stiffness matrix for geometric nonlinear analysis[J]. Journal of structural engineering, 1986, 112(4): 853―877.
[8]
Spillers W R. Geometric stiffness matrix for space frames[J]. Computers & structures, 1990, 36(1): 29―37.
[9]
Yang Y B, Kuo S R, Wu Y S. Incrementally small-deformation theory for nonlinear analysis of structural frames[J]. Engineering structures, 2002, 24(6): 783―798.
[10]
Yang Y B, Lin S P, Chen C S. Rigid body concept for geometric nonlinear analysis of 3D frames, plates and shells based on the updated Lagrangian formulation[J]. Computer methods in applied mechanics and engineering, 2007, 196(7): 1178―1192.
[11]
Belytschko T, Liu W K, Moran B. 连续体和结构的非线性有限元[M]. 庄茁, 译. 北京: 淸华大学出版社, 2002: 442―494. Belytschko T, Liu W K, Moran B. Nonlinear finite elements for continua and structures[M]. translated by Zhuang Zhuo. Beijing: Tsinghua Press, 2002: 442―494. (in Chinese)
[12]
鹫津久一郎. 老亮. 《弹性和塑性力学中的变分法》[M]. 郝松林, 译. 北京: 科学出版社, 1984: 420―434. Kyuichiro W, Lao liang. Variational methods in elasticity and plasticity[M]. translated by Hao Songlin. Beijing: Science Press, 1984: 420―434. (in Chinese)
