结构动力特性分析中的圆角建模方法

邓昊; 程伟

doi:10.13700/j.bh.1001-5965.2015.0536

结构动力特性分析中的圆角建模方法

doi: 10.13700/j.bh.1001-5965.2015.0536

邓昊,
程伟^,

北京航空航天大学航空科学与工程学院, 北京 100083

详细信息

作者简介:
邓昊,男,硕士研究生。主要研究方向:计算结构动力学。Tel.:15313257835,E-mail:15313257835@163.com;程伟,男,博士,教授,博士生导师。主要研究方向:结构动力学。Tel.:13911016336,E-mail:cheng_wei@buaa.edu.cn

通讯作者:
程伟,Tel.:13911016336,E-mail:cheng_wei@buaa.edu.cn

中图分类号: TV312
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- 被引次数: 0
出版历程
- 收稿日期: 2015-08-24
- 网络出版日期: 2016-09-20

Fillet modeling method in analysis of structural dynamic characteristics

DENG Hao,
CHENG Wei^,

School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 针对薄壁结构中存在大量的圆角，提出了运用梁单元与壳单元组合的建模方法对圆角进行等效建模。通过分析圆角对薄壁结构的刚度贡献，提出圆角对结构刚度的贡献分为面内刚度贡献和面外刚度贡献。圆角对面外刚度的贡献与梁的作用等效，通过运用扭转相关理论推导出等效梁单元的截面参数。对于圆角的面内效应，运用壳单元对其进行等效建模，采用平面应变状态假设，将三维结构简化为二维结构。在平面内，通过刚度等效原理计算出壳单元的等效厚度与弹性模量。通过2个实例验证了圆角建模方法的正确性与准确性。
- 圆角等效建模 /
- 结构动态特性 /
- 扭转刚度 /
- 平面应变状态 /
- 刚度等效
Abstract: In view of the large number of rounded corners in thin-walled structures, the equivalent modeling method is presented based on the combination of beam element and shell element. Through the analysis of the contribution of the fillet to the stiffness of the thin-walled structure, the contribution was divided into in-plane stiffness contribution and out-of-plane stiffness contribution. The contribution effect of the fillet to the out-of-plane stiffness is equivalent to the beam. The section parameters of the equivalent beam element were derived by using the theory of torsion. For the in-plane effects of the fillet, the equivalent model was established by using shell element. The three-dimensional structure was simplified to a two-dimensional structure by using the plane strain state assumption. In plane, the equivalent thickness and elastic modulus of shell element were calculated by the equivalent stiffness principle. The correctness and accuracy of the modeling method are verified by two examples.
- fillet equivalent modeling /
- structural dynamic characteristics /
- torsional rigidity /
- plane strain state /
- stiffness equivalent

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参考文献(15)

[1]	SEUGLING R M,BROWN A M.Modeling of fillets in thin-walled structures for dynamic analysis[C]//Proceedings of the 19th International Model Analysis Conference,2001:379-384.
[2]	BROWN A M,SEUGLING R M.Using plate finite elements for modeling fillets in global response analysis[J].Finite Element in Analysis and Design，2004,40(13-14):1963-1975.
[3]	包世华，周坚.薄壁杆件结构力学[M].北京：中国建筑工业出版社，2006:190-193.BAO S H,ZHOU J.Structural mechanics of thin-walled rod member[M].Beijing: China Building Industry Press,2006:190-193(in Chinese).
[4]	钱伟长.圣维那扭转问题的物理假定[J].物理学报，1953,9(4):215-220.QIAN W C.Physical assumptions of the Saint Venant torsion problem[J].Journal of Physics,1953,9(4):215-220(in Chinese).
[5]	钱伟长,林鸿荪,胡海昌.弹性柱体扭转理论[M].北京:科学出版社,1956:178-179.QIAN W C,LIN H S,HU H C.Torsion bar elastic theory[M]. Beijing:Science Press,1956:178-179(in Chinese).
[6]	钱伟长.弹性力学[M].北京:科学出版社,1980:156-158.QIAN W C.Elastic mechanics[M].Beijing:Science Press,1980:156-158(in Chinese).
[7]	王敏中,王炜,武际可.弹性力学教程[M].北京:北京大学出版社,2002:127-134.WANG M Z,WANG W,WU J K.Elastic mechanics course[M].Beijing:Peking University Press,2002:127-134(in Chinese).
[8]	YOUNG W C.Roark's formulas for stress and strain[M].6th ed.New York:McGraw-Hill,1989:215-216.
[9]	BORESI A P,SCHMIDT R J,SIDEBOTTOM O M.Advanced mechanics of materials[M].5th ed.New York:Wiley,1993:367.
[10]	ROARK R J.Formulas for stress and strain[M].5th ed.New York:McGraw-Hill,1989:206.
[11]	赵超燮.结构矩阵分析原理[M].北京:高等教育出版社,1985：92-93.ZHAO C X.Structure matrix analysis[M].Beijing:Higher Education Press,1985:92-93(in Chinese).
[12]	郑振飞,彭大文.抛物线形的曲杆单元刚度矩阵[J].福州大学学报(自然科学版),1983(4):76-82.ZHENG Z F,PENG D W.The stiffness matrix of a parabolic curved rod element[J].Journal of Fuzhou University(Natural Science),1983(4):76-82(in Chinese).
[13]	宋俊杰,刘茂江.材料力学手册[M].石家庄:河北科学技术出版社,1984：32.SONG J J,LIU M J.Handbook of materials mechanics[M].Shijiazhuang:Hebei Science and Technology Press,1984:32(in Chinese).
[14]	吕子华,吕令毅.矩阵结构力学[M].北京:中国建筑工业出版社,1997：77-79.LYU Z H,LYU L Y.Matrix structure mechanics[M].Beijing:China Building Industry Press,1997：77-79(in Chinese).
[15]	罗旗帜.薄壁曲箱梁桥剪滞效应分析[J].铁道学报,1999,21(5):89-93.LUO Q Z.Analysis of shear lag effect in thin walled curved box girder bridges[J].Journal of the China Railway Society,1999,21(5):89-93(in Chinese).