[1]蒋学东,李小平.连续压杆稳定性初参数法的研究[J].常州大学学报(自然科学版),2003,(02):43-45.
　JIANG Xue- dong,LI Xiao- ping.Research o n the St ability o f Co nt inous Sect io n Press Pole[J].Journal of Changzhou University(Natural Science Edition),2003,(02):43-45.
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连续压杆稳定性初参数法的研究()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2003年02期
页码:
43-45
栏目:
出版日期:
2003-06-25

文章信息/Info

Title:
Research o n the St ability o f Co nt inous Sect io n Press Pole
作者:
蒋学东1 ;  李小平2
1.江苏工业学院机械工程系, 江苏 常州 213016; 2.常州信息职业技术学院, 江苏 常州 213015
Author(s):
JIANG Xue- dong1;  LI Xiao- ping2
1. Department of Mechanical Eng ineering , Jiangsu Polytechnic U niversity, Changzhou 213016; 2. Changzhou College of Informat ion Technology, Changzhou 213015, China
关键词:
初参数法;  连续等直压杆;  稳定性
Keywords:
f irst- parameter;  cont inous sect ion press pole;  stability
分类号:
TU 311.? 2 ?? ??
文献标志码:
A
摘要:
利用杆件弯曲时曲率的近似微分方程, 应用4 阶微分方程的通解, 提供了确定欧拉力的另一种方法。利用初参数法求解 压杆稳定性的问题, 与传统的能量法和利用平衡微分方程的直接积分法相类似, 具有一定通用性和规范性。无论结构的繁易程 度均可以取得较满意的答案。特别对于较复杂的杆系结构的稳定性问题效果尤其明显, 丰富了压杆稳定性研究的内容。同时运 用试解法求得了超越方程, 避免了复杂的数学计算过程。讨论了三跨梁的压杆稳定性问题, 并列举了几种特例加以分析, 对定 性判断压杆的承载能力有一定的帮助。
Abstract:
The article used differential equat ion of approximation when member was bending. It applied the g eneral solution of differential equation of fourth order and provided another method of determing the Eular??s force. The article used the method of initial- state parameter to evaluate the problem of stability of member in compression w hich w as similar to the energy method or directed integration method of using equilibrium different ial equat ion. The method had some versat ility and gauge that could get relatively content key whatever the st ructure w as dif ficult or easy . This method was particularly obvious for more complex st ructures, it also could abundant the studying content of member in compression stability. Applying the pilot calculation method to resolute the t ranscendental equation was avoiding the complex figured process of math. The article discussed the stability of member in compression of the span girder and presented several special examples to analysis w hich had definite help for judging the bearing capacity qualitavely.

参考文献/References:

[1] 刘鸿文?? 材料力学[M] ?? 北京: 高等教育出版社, 1993??
[2] 清华大学材料力学教研室?? 材料力学解题指导及习题集[M] ?? 北京: 高等教育出版社, 1984??
[3] 邓宗彦?? 杆件稳定( 材料力学教师进修班讲义) [M] ?? 南京: 南京航空学院出版社, 1986??
[4] 唐成元?? 细长直杆受轴向压力在欧拉范围内的讨论[J] ?? 上 海力学, 1983, 4 ( 1) : 90- 93??

备注/Memo

备注/Memo:
作者简介: 蒋学东( 1966- ) , 男, 江苏 常州 人, 硕士。
更新日期/Last Update: 2003-06-25