[1]彭兴黔,曾志兴.静水压力下无铰圆拱稳定的截面优化设计[J].华侨大学学报(自然科学版),2006,27(4):381-383.[doi:10.3969/j.issn.1000-5013.2006.04.013]
　Peng Xingqian,Zeng Zhixing.Optimal Section Design of Stability for the Circular Hingeless Arch with Fixed Supports under Hydraulic Pressure[J].Journal of Huaqiao University(Natural Science),2006,27(4):381-383.[doi:10.3969/j.issn.1000-5013.2006.04.013]
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静水压力下无铰圆拱稳定的截面优化设计()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第27卷
期数:
2006年第4期
页码:
381-383
栏目:
出版日期:
2006-10-20

文章信息/Info

Title:
Optimal Section Design of Stability for the Circular Hingeless Arch with Fixed Supports under Hydraulic Pressure
文章编号:
1000-5013(2006)04-0381-03
作者:
彭兴黔; 曾志兴
华侨大学土木工程学院; 华侨大学土木工程学院 福建泉州362021; 福建泉州362021
Author(s):
Peng Xingqian;  Zeng Zhixing
College of Civil Engineering, Huaqiao University, 362021, Quanzhou, China
关键词:
圆拱;  稳定;  优化设计;  临界荷载
Keywords:
circular arch;  stability;  optimal design;  critical load
分类号:
TU399
DOI:
10.3969/j.issn.1000-5013.2006.04.013
文献标志码:
A
摘要:
采用泛函极值分析方法,推导出圆拱截面函数和挠曲函数的稳定方程,并用瑞利-里兹法,近似求解静水压力作用下,无铰圆拱呈反对称屈曲和正对称屈曲状态的临界荷载及截面的优化形式.优化结构较好地体现出工程设计的经济性要求,所采用的分析方法适用于各种边界条件、各类截面形式和任意荷载作用的圆拱稳定问题.
Abstract:
The stability equations of circular arch are obtained by the method of functional extremum.The critical load of the circular hingeless arch with fixed supports under hydraulic pressure,and the optimal section are solved approximately by Rayleigh-Ritz method.The optimal structure properly meets the economical requirements in the engineering design.This method is applicable to the stability problems of the circular arch for various boundary conditions,cross section types and loads.

参考文献/References:

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[2] Tadjbakhsh I, Keller J B. Strongest column and isoperimetric inequalities for eigenvalue [J]. Journal of Applied Mechanics, Transactions ASME, 1962(1):159-164.
[3] Olhoff N, Rasmussen S H. On single and bimodal optimum buckling loads of clamped column [J]. International Journal of Solids and Structures, 1977(7):605-614.doi:10.1016/0020-7683(77)90043-9.
[4] 彭兴黔. 两端弹性铰支约束下压杆稳定的优化设计 [J]. 华侨大学学报(自然科学版), 2002(1):45-49.doi:10.3969/j.issn.1000-5013.2002.01.011.
[5] 潘岳, 刘瑞昌. 静水压力作用下圆拱正对称失稳临界力的求解 [J]. 岩土力学, 1999(1):39-43.doi:10.3969/j.issn.1000-7598.1999.01.007.
[6] 戚云松, 潘岳. 垂直分布荷载作用下固支圆拱的对称失稳临界力 [J]. 力学与实践, 2003(5):34-36.doi:10.3969/j.issn.1000-0879.2003.05.011.
[7] 彭兴黔, 郭子雄. 圆拱稳定的变分分析 [J]. 华侨大学学报(自然科学版), 2003(3):271-274.doi:10.3969/j.issn.1000-5013.2003.03.009.
[8] 王连祥, 方德植, 张鸣镛. 数学手册 [M]. 北京:高等教育出版社, 1977.965-967.

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(E0510022); 福建省建设厅科研基金资助项目(05-22-15)
更新日期/Last Update: 2014-03-23