全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...
工程力学  2014 

基于微分求积法的Euler-Bernoulli梁的大变形力学行为研究

Keywords: 细长柱,Euler-Bernoulli梁,控制方程,微分求积法,大变形

Full-Text   Cite this paper   Add to My Lib

Abstract:

对工程中大量使用的细长柱的大变形力学行为进行了研究。基于杆件可伸长和忽略剪切变形的Euler-Bernoulli梁理论,建立了杆件大变形分析的几何非线性的控制方程,利用微分求积法直接从控制方程出发,把控制方程和边界条件转化为代数方程形式,采用改进的Newton迭代法即逆Broyden秩1方法进行了求解。计算表明微分求积法是用于结构大变形分析的一个有力的工具。

References

[1]  李世荣, 张靖华, 赵永刚. 功能梯度材料Timoshenko梁的热过屈曲分析[J]. 应用数学和力学, 2006, 27(6): 803―810.
[2]  Li Shirong, Zhang Jinghua, Zhao Yonggang. Thermal post-buckling of functionally graded material Timoshenko beams [J]. Applied Mathematics and Mechanics, 2006, 27(6): 803―810. (in Chinese)
[3]  古雅琦, 王海龙, 杨怀宇. 一种大变形几何非线性 Euler-Bernoulli 梁单元[J]. 工程力学, 2013, 30(6): 11―15.
[4]  Gu Yaqi, Wang Hailong, Yang Huaiyu. A large deformation geometric nonlinear Euler-Berrnoulli beam element [J]. Engineering Mechanics, 2013, 30(6): 11―15. (in Chinese)
[5]  Lee K. Post-buckling of uniform cantilever column under a combined load [J]. International Journal of Non-Linear Mechanics, 2001, 36(5): 813―816.
[6]  Wu Y, Li S R, Teng Z C. Post-buckling of a cantilever rod with variable cross-section under combined load [J]. Applied Mathematics and Mechanics, 2003, 24(9): 1111―1118.
[7]  Vaz M A, Mascaro G H W. Post-buckling analysis of slender elastic vertical rods subjected to terminal forces and selfweight [J]. International Journal of Non-Linear Mechanics, 2005, 40(7): 1049―1056.
[8]  Lacarbonara W. Buckling and post-buckling of non- uniform non-linearly elastic rods [J]. International Journal of Mechanical Sciences, 2008, 50(8): 1316―1325.
[9]  Mazzilli C E N. Buckling and post-buckling of extensible rods revisited: A multiple-scale solution [J]. International Journal of Non-Linear Mechanics, 2009, 44(2): 200―208.
[10]  Shvartsman B S. Direct method for analysis of flexible cantilever beam subjected to two follower forces [J]. International Journal of Non-Linear Mechanics, 2009, 44(2): 249―252.
[11]  Sepahi O, Forouzan M R, Malekzadeh P. Differential quadrature application in post-bucking analysis of hinged-fixed elastic under terminal forces and self-weight [J]. Journal of Mechanical Science and Technology, 2010(24): 331―336
[12]  Sepahi O, Forouzan M R, Malekzadeh P. Post-bucking analysis of variable cross-section cantilever beams under combined load via differential quadrature method [J]. Journal of Civil Engineering, 2010, 14(2): 207―214.
[13]  胡育佳, 朱媛媛, 程昌钧. 求解几何非线性桩-土耦合系统的微分求积单元法[J]. 固体力学学报, 2008, 25(3), 29(2): 141―148.
[14]  Hu Yujia, Zhu Yuanyuan, Cheng Changjun. DQEM for solving pile-soil coupling systems with geometrical nonlinearity [J]. Acta Mechanica Solida Sinica, 2008, 25(3), 29(2): 141―148. (in Chinese)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133