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[1]黄开志,陈小亮.任意线弹性支承的双跨压杆稳定性计算[J].武汉工程大学学报,2014,(09):7-11.[doi:103969/jissn16742869201409002]
　HUANG Kai zhi,CHEN Xiao liang.Calculating stability of double span long column supported by any linear elastic supports[J].Journal of Wuhan Institute of Technology,2014,(09):7-11.[doi:103969/jissn16742869201409002]
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任意线弹性支承的双跨压杆稳定性计算(/HTML)
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《武汉工程大学学报》[ISSN:1674-2869/CN:42-1779/TQ]

卷:
期数:
2014年09期
页码:
7-11
栏目:
其他
出版日期:
2014-09-30

文章信息/Info

Title:
Calculating stability of double span long column supported by any linear elastic supports
文章编号:
16742869(2014)09000705
作者:
黄开志;  陈小亮
重庆科技学院数理学院，重庆 401331
Author(s):
HUANG Kaizhi;  CHEN Xiaoliang
School of Mathematics & Physics, Chongqing University of Science & Technology, Chongqing 401331, China
关键词:
材料力学; 线弹性支承; 压杆; 稳定性; 临界压力; 特征方程;  欧拉公式; 长度因数
Keywords:
mechanics of materials;  linear elastic support;  long column;  stability;  critical force;  characteristic equation;  Euler’s formula;  factor of length
分类号:
O341
DOI:
103969/jissn16742869201409002
文献标志码:
A
摘要:
用初参数法，建立了任意线弹性支承的双跨压杆处于微弯曲平衡状态时，统一的变形方程、静力平衡方程和物理方程.由齐次线性方程组有非零解的条件，导出了临界压力的特征方程.借助软件，对中部铰支的9种完全理想支承的双跨压杆，和一个非完全理想支承的双跨压杆进行了稳定性计算，得到了长度因数与中部支承位置之间的关系，确定了中部支承的最佳位置和最小长度因数，以及最差位置和最大长度因数；同时发现定向铰支定向和定向铰支自由支承的双跨压杆的长度因数与中部铰支的具体位置无关，其大小依次为1和2.
Abstract:
The unified deformation equation, the static equilibrium equations and the constitutive equation were established to double span long column supported by any linear elastic supports in the equilibrium state of micro bending by the initial parameters method. The characteristic equation of critical force was deduced by the condition of homogeneous linear equations with nonzero solution . The stability of nine kinds of double span long column supported by ideal hinge support in the central and a double span long column supported by non ideal supports was calculated using software. Finally, the relationship between the factor of length and the position of the central support was obtained; the best position of the central support and the minimum factor of length ,and the worst position and the maximum factor of length were determined. It is found that the factor of length to the double span long column supported by directional supporthinge supportdirectional support and directional supporthinge supportfree is irrelevant to the specific position of the central support, the values of which are 1 and 2 in order.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期：20140328基金项目：重庆科技学院教改项目（201442）;重庆科技学院研究生教育教学改革研究一般项目（YJG2014y008）作者简介：黄开志（1969）,男，四川遂宁人，教授级高工.研究方向：力学计量测试技术.
更新日期/Last Update: 2014-10-09