## 留言板

 引用本文: 卫少阳. 基于CR列式的无应力状态控制法基本方程[J]. 应用数学和力学, 2014, 35(12): 1352-1362.
WEI Shao-yang. Basic Equations of the Unstressed State Control Method Based on Co-Rotational Formulation[J]. Applied Mathematics and Mechanics, 2014, 35(12): 1352-1362. doi: 10.3879/j.issn.1000-0887.2014.12.007
 Citation: WEI Shao-yang. Basic Equations of the Unstressed State Control Method Based on Co-Rotational Formulation[J]. Applied Mathematics and Mechanics, 2014, 35(12): 1352-1362.

## 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

###### 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

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

• 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.
•  [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))
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##### 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

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