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含裂纹细长压杆临界力分析
引用本文:张晓君,吴国荣.含裂纹细长压杆临界力分析[J].上海海事大学学报,2007,28(2):44-47.
作者姓名:张晓君  吴国荣
作者单位:浙江海洋学院,船舶与建筑工程学院,浙江,舟山,316004
摘    要:研究含裂纹的矩形截面压杆的屈曲问题.通过一计及裂纹对压杆局部柔度的影响的无质量扭簧模拟裂纹所在截面,建立与含裂纹细长压杆等效的力学模型;基于完整压杆挠曲线微分方程的基本解,推导出含裂纹压杆的传递矩阵;以两端铰支和一端固定、一端自由的含裂纹压杆为例,结合其具体的边界条件,导出相应的特征方程.该方法能够简便地计算含裂纹细长压杆的临界压力.

关 键 词:压杆  屈曲  裂纹  稳定性
文章编号:1672-9498(2007)02-0044-04
修稿时间:2006-11-22

Critical press analysis on cracked slender columns
ZHANG Xiaojun,WU Guorong.Critical press analysis on cracked slender columns[J].Journal of Shanghai Maritime University,2007,28(2):44-47.
Authors:ZHANG Xiaojun  WU Guorong
Institution:School of Naval Architecture and Civil Engineering, Zhejiang Ocean University, Zhoushan Zhejiang 316004, China
Abstract:The buckling of slender rectangular columns with a single crack is studied.An equivalent mechanics model of the cracked column is established through modelling the cracked section by a massless rotational spring taking into account the effects of the crack on the local flexibility.Based on the fundamental solutions to the differential equation for buckling problems of intact columns,the transfer matrix of the cracked column is obtained.The eigenvalue equations of the pined-pined column and the fixed-free column are given.The method presented is convenient in calculating the critical press.
Keywords:column  buckling  crack  stability
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