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弹性圆薄板在随动力作用下的屈曲问题分析
引用本文:杨静宁,邱平,赵永刚,张靖华. 弹性圆薄板在随动力作用下的屈曲问题分析[J]. 兰州理工大学学报, 2005, 31(1): 141-143
作者姓名:杨静宁  邱平  赵永刚  张靖华
作者单位:兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,理学院,甘肃,兰州,730050
基金项目:甘肃省自然科学基金(ZS031 A25 014 G)
摘    要:取弹性圆薄板内一微元体,建立了圆板在非保守载荷——切向均布随动力作用下的轴对称非线性控制方程,考虑周边固支和周边不可移简支两种边界条件,采用打靶法和解析延拓法求解了所得两点边值问题,获得了圆薄板特征值问题的数值解,结果可供工程设计时参考使用.

关 键 词:圆薄板  随动力  临界载荷  打靶法  屈曲
文章编号:1000-5889(2005)01-0141-03
修稿时间:2004-02-17

Buckling analysis of elastic circular thin plate subjected to follower forces
YANG Jing-ning,QIU Ping,ZHAO Yong-gang,ZHANG Jing-hua. Buckling analysis of elastic circular thin plate subjected to follower forces[J]. Journal of Lanzhou University of Technology, 2005, 31(1): 141-143
Authors:YANG Jing-ning  QIU Ping  ZHAO Yong-gang  ZHANG Jing-hua
Abstract:An element cut out of the circular thin plate is used to derive respectively the non-linear governing equations of axially symmetric circular thin plate with fixed edge and those with pinned edge,which are subjected to tangentially uniformly distributed follower forces. The two-point boundary-value problem is solved. Its numerical solutions are obtained by using shooting method and analytic continuation method, which can be taken reference for engineering design.
Keywords:circular thin plates  follower forces  critical loads  shooting method  buckling
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