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  2013 

双特征参数法与最优模态法在弹性直杆动力屈曲问题中解的一致性

DOI: 10.6052/j.issn.1000-4750.2011.07.0441, PP. 87-90

Keywords: 动力屈曲,应力波,双特征参数法,最优模态,弹性直杆

Full-Text   Cite this paper   Add to My Lib

Abstract:

采用求解最优模态的方法,分别对弹性压应力波作用下受载端夹支和简支两种边界条件直杆的动力屈曲问题进行了探讨,研究中所设的屈曲模态不仅满足边界条件,而且满足文献所得的波前附加约束条件。研究发现屈曲模态中放大最快的模态所对应的临界力参数和惯性项的指数参数与双特征参数法所得的结果是一致的,即用双特征参数法求解所得屈曲模态就是最优模态。另外,计算表明,最低阶动力屈曲载荷远高于静力屈曲载荷,确定动力屈曲载荷时应计及横向惯性。

References

[1]  Abrahamson G A, Goodier J N. Dynamic flexural buckling of rods within an axial plastic compression wave [J]. Journal of Applied Mechanics, 1966, 33(2): 241―247.
[2]  Takuo Hayashi, Yukio Sano. Dynamic buckling of elastic bars: 2nd Report, The case of high velocity impact [J]. The Japan Society of Mechanical Engineers, 1972, 18(88): 1176―1184.
[3]  Air-Gur J, Weller T, Singer J. Experimental and theoretical studies of columns under axial impact [J]. International Journal of Solids and Strctures, 1982, 18(8): 619―641.
[4]  滕宁钧, 苏先樾. 半无限长弹性直杆受轴向冲击载荷作用的分叉问题[J]. 力学学报, 1989, 21(5): 591―595.
[5]  Teng Ningjun, Su Xianyue. Impact bifurcation of the semi-infinite elastic thin bars [J]. Acta Mechanica Sinica, 1989, 21(5): 591―595. (in Chinese)
[6]  韩强, 张善元, 杨桂通. 理想直杆中轴向应力波传播和反射导致的分叉问题[J]. 固体力学学报, 1998, 19(3): 199―206.
[7]  Han Qiang, Zhang Shanyuan, Yang Guitong. The bifurcation problem caused by the propagation of the axial stress wave and its reflection in an ideal column [J]. Acta Mechanica Solida Sinica, 1998, 19(3): 199―206. (in Chinese)
[8]  朱兆祥. 应力波引起的弹性结构屈曲准则[C]. 塑性力学和地球动力学文集. 北京: 北京大学出版社, 1990: 56―70.
[9]  Zhu Zhaoxiang. Criterion of structural elastic buckling caused by stress waves [C]. Collected Papers on Plasticity and Earth Dynamics. Beijing: Peking University Press, 1990: 56―70. (in Chinese)
[10]  王安稳. 弹性压应力波下直杆动力失稳的机理和判据 [J]. 力学学报, 2001, 33(6): 812―820.
[11]  Wang Anwen. Mechanism and criterion for dynamic instability of bars under elastic compression wave [J]. Acta Mechanica Sinica, 2001, 33(6): 812―820. (in Chinese)
[12]  王蕊, 韩志军, 张善元. 两种边界条件直杆的撞击屈曲及其应力波效应[J]. 工程力学, 2007, 24(11): 7―11.
[13]  Wang Rui, Han Zhijun, Zhang Shanyuan. Dynamic buckling of elastic bar with two different boundary conditions and the effect of stress wave [J]. Engineering Mechanics, 2007, 24(11): 7―11. (in Chinese)
[14]  王礼立, 余同希, 李永池. 冲击动力学进展[M]. 合肥: 中国科学技术出版社, 1992: 157―176.
[15]  Wang Lili, Yu Tongxi, Li Yongchi. Advances in impulse dynamics [M]. Hefei: Press of University of Science and Technology of China, 1992: 157―176. (in Chinese)
[16]  Lindberg H E, Florence A L. Dynamic pulse buckling: Theory and experiment [M]. Washington: Defence Nuclear Agency, 1983: 1―5.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133