外伸梁离散系统模态的若干定性性质

王其申; 章礼华; 王大钧

doi:10.6052/0459-1879-12-023

外伸梁离散系统模态的若干定性性质

doi: 10.6052/0459-1879-12-023

1.
安庆师范学院物理与电气工程学院,安庆 246011
2. 北京大学湍流与复杂系统国家重点实验室, 力学与空天技术系,北京 100871

基金项目: 国家自然科学基金资助项目(10772001).

详细信息

通讯作者:
王其申

中图分类号: O327, O241.3, O151.21
计量
- 文章访问数: 1826
- HTML全文浏览量: 37
- PDF下载量: 755
- 被引次数: 0
出版历程
- 收稿日期: 2012-01-17
- 修回日期: 2012-05-03
- 刊出日期: 2012-11-18

SOME QUALITATIVE PROPERTIES OF MODESOF DISCRETE SYSTEM OF BEAM WITH OVERHANG

1.
Department of Physics, Anqing Teachers College, Anqing 246011, China
2. State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Engineering Science,Peking University, Beijing 100871, China

Funds: The project was supported by the National Natural Science Foundation of China (10772001).

摘要

摘要: 在已证明外伸梁的差分离散模型频率和位移振型基本振荡性质的基础上,首先揭示了两跨外伸梁的共轭系统是一端铰支一端固定并有一个中间铰的两跨连续梁,证明了两跨外伸梁的共轭梁的刚度矩阵是符号振荡矩阵,进而确定了外伸梁的弯矩振型的符号改变数;由此进一步讨论了它的转角振型和剪力振型的符号改变数规律以及位移振型的其他一些定性性质.
- 外伸梁 /
- 共轭系统 /
- 弯矩、转角和剪力振型 /
- 定性性质
Abstract: Base on the basic oscillating properties of the frequencies and the displacement modes in the discrete system of the beam with overhang, it is proved that the stiffness matrices of conjugated system of a two-span beam with one cantilever is to be sign-oscillated. Then, the sign interchanges number of the flexural moment modes of a beam with one cantilever are determined. Furthermore, some qualitative propertiesof its displacement modes, rotation modes, moment modes and shearing force mode are given. The basic oscillating properties about two-span and three-span continuous beams having middle pinned are obtained practically in this paper as well.
- beam with overhang /
- conjugated system /
- flexural moment modes /
- rotation modes and shearing force modes

HTML全文

参考文献(8)

Γнтмaхeр ФР, Крeйн MG. Ocцилляцонныe Maтры и Ядрa и Maлыe Кoлeбaниiя Meхaничeских Систem. Moсквa: Γocyдaрcтвeннoe Издaтeлъcтвo Teхникo Teoрeтичecкoй Литeрaтры, 1950. 82-208 (in Russian)

Gladwell GML. Inverse Problems in Vibration. Boston: Martinus Nijhoff Publishers, 1986

王其申,何北昌,王大钧. Euler梁的模态和频谱的一些定性性质.振动工程学报,1990,3(4):58-66 (Wang Qishen,He Beichang,Wang Dajun. Some qualitative properties of frequencies and modes of Euler beams. J Vibration Engineering,1990,3(4): 58-66 (in Chinese))

王其申,王大钧. 任意支承梁的固有振动频谱和模态的定性性质. 力学学报,1997,29(5): 540-547 (Wang Qishen, Wang Dajun. Qualitative properties of frequency spectrum and modes of arbitrary supported beams in vibration. Acta Mechanica Sinica,1997,29(5): 540-547 (in Chinese))

王其申,吴磊,王大钧. 多跨梁横振动的频率和模态的定性性质. 力学学报, 2009, 41 (6):947-952 (Wang Qishen,Wu Lei,Wang Dajun. Qualitative properties of frequencies and modes of multi-span beam. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(6): 947-952 (in Chinese))

Wang QS, Wang DJ, Wu L, et al. Qualitative properties of frequencies and modes of vibrating multi-span beam. QJMAM, 2011, 64(1): 75-86

王其申,王大钧,吴磊等. 外伸梁差分离散系统刚度矩阵的符号振荡性及其定性性质. 振动与冲击, 2009, 28(6): 113-117 (Wang Qishen, Wang Dajun, Wu Lei,et al. Sign-oscillating property of stiffness matrix of difference discrete system and qualitative properties of beam with overhang. Journal of Vibration and Shock, 2009,28(6): 113-117 (in Chinese))

盛光复,任迎春. CFRP加固钢筋混凝土外伸梁斜截面试验研究. 四川建筑科学研究,2005, 31(4):51-54 (Sheng Guangfu, Ren Yingchun. Experimental study on shear strengthening with CFRP in negative area of cantilever beams. Sichuan Building Science, 2005, 31(4):51-54 (in Chinese))

施引文献

资源附件(0)

访问统计