基于CR列式的无应力状态控制法基本方程

卫少阳

doi:10.3879/j.issn.1000-0887.2014.12.007

基于CR列式的无应力状态控制法基本方程

doi: 10.3879/j.issn.1000-0887.2014.12.007

卫少阳

长安大学公路学院, 西安 710064

详细信息

作者简介:
卫少阳（1990—），男，河南人，硕士(E-mail: 1041982393@qq.com).

中图分类号: U445.4;O342
计量
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- 被引次数: 0
出版历程
- 收稿日期: 2014-06-23
- 修回日期: 2014-08-06
- 刊出日期: 2014-12-15

Basic Equations of the Unstressed State Control Method Based on Co-Rotational Formulation

WEI Shao-yang

School of Highway, Chang’an University, Xi’an 710064, P.R.China

摘要

摘要: 简述了无应力状态控制法的基本理论，并且介绍了CR列式的基本原理.基于CR列式分析方法，分析了传统增量法和无应力状态控制法参考标架的不同，并在此基础上推导了无应力状态控制法的基本方程，得到的公式表明：采用CR列式分析方法来剖析无应力状态控制法的基本方程，是完全可行的，并且力学概念清晰.最后以实例分析了无应力状态控制法的运用.
- 无应力状态控制法 /
- 增量法 /
- 全量法 /
- 参考位形 /
- CR列式
Abstract: The basic theory of unstressed state control method was addressed through introduction of the principle of co-rotational formulation. Based on the co-rotational formulation analysis, the differences of the reference frame between the traditional incremental method and the unstressed state control method were discussed, and the basic equations of the unstressed state control method were derived. The resulting formulas show that the co-rotational formulation procedure is appropriate for analysis of the basic equations of the unstressed state control method, and the derivation process has a clear mechanics concept. Moreover, case analysis demonstrates validity and advantage of the co-rotational formulation in application of the unstressed state control method.
- unstressed state control method /
- incremental method /
- whole quantity method /
- reference configuration /
- co-rotational formulation

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参考文献(10)

[1]	秦顺全. 分阶段施工桥梁的无应力状态控制法[J]. 桥梁建设, 2008(1): 8-14.(QIN Shun-quan. Unstressed state control method for bridges constructed in stages[J]. Bridge Construction,2008(1): 8-14.(in Chinese))
[2]	Wempner G. Finite elements, finite rotations and small strains of flexible shells[J].International Journal of Solids and Structures,1969,5(2): 117-153.
[3]	Belytschko T, Hsieh B J. Non-linear transient finite element analysis with convected co-ordinates[J]. International Journal of Numerical Methods and Engineering,1973,7(3): 255-271.
[4]	Argyris J H, Balmer H, Doltsinis J St, Dunne P C, Haase M, Kleiber M, Malejannakis G A, Mlejnek H P, Müller M, Scharpf D W. Finite element method—the natural approach[J]. Computer Methods in Applied Mechanics Engineering,1979,17/18: 1-106.
[5]	Lea L J, Yang Y B. Effects of rigid body and strecting on nolinear analysis of trusses[J]. Joural of Structural Engineering,1990,116(10): 2582-2598.
[6]	Gattass M, Abel J F. Equilibrium considerations of the updated Lagrangian formulation of beam-columns with natural concepts[J]. International Journal for Numerical Methods in Engineering,1987,24(11): 2119-2141.
[7]	唐茂林. 大跨度悬索桥空间几何非线性分析及软件开发[D]. 博士学位论文. 成都: 西南交通大学, 2003.(TANG Mao-lin. The space nonlinear analysis and software development of a long-span suspension bridge[D]. PhD Thesis. Chengdu: Southwest Jiaotong University, 2003.(in Chinese))
[8]	秦顺全.桥梁施工控制-无应力状态理论与实践[M]. 北京: 人民交通出版社, 2006.(QIN Shun-quan. The Theory and Practice of Bridge Construction Control-Unstressed State Control Method[M]. Beijing: China Communications Press, 2006.(in Chinese))
[9]	朱慈勉.计算结构力学[M]. 北京: 科学出版社, 2009.(ZHU Ci-mian. Computational Structural Mechanics [M]. Beijing: Science Press, 2009.(in Chinese))
[10]	谢贻权, 何福保. 弹性和塑性力学中的有限元法[M]. 北京: 机械工业出版社, 1983.(XIE Yi-quan, HE Fu-bao. The Finite Element Method of Elastic and Plastic Mechanics [M]. Beijing: Mechanical Industry Press, 1983.(in Chinese))