[1]栗蕾,郝际平.考虑初始损伤扁柱面网壳的非线性动力学特性[J].西安建筑科技大学学报(自然科学版),2017,49(01):76-80.[doi:10.15986/j.1006-7930.2017.01.012]
　LI Lei HAO Jiping.Nonlinear dynamic characteristic of the shallow cylindrical reticulated shells with initial damage[J].J. Xi’an Univ. of Arch. & Tech.(Natural Science Edition),2017,49(01):76-80.[doi:10.15986/j.1006-7930.2017.01.012]
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考虑初始损伤扁柱面网壳的非线性动力学特性()
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西安建筑科技大学学报（自然科学版）[ISSN:1006-7930/CN:61-1295/TU]

卷:
49
期数:
2017年01期
页码:
76-80
栏目:
出版日期:
2017-03-03

文章信息/Info

Title:
Nonlinear dynamic characteristic of the shallow cylindrical reticulated shells with initial damage
文章编号:
1006-7930(2017)01-0076-05
作者:
栗蕾1 ; 郝际平 2
(1. 郑州航空工业管理学院,土木建筑学院,河南 郑州 450015 ;2. 西安建筑科技大学,土木学院,陕西 西安 710055)
Author(s):
LI Lei 1 HAO Jiping 2
(1.School of Civil and Architecture Eng. , Zhengzhou University of Aeronautics, Zhengzhou 450015 China 2. School of Civil Eng. , Xian Univ. of Arch. Tech., Xian 710055 China )
关键词:
柱面网壳; 初始损伤; 非线性动力学特性
Keywords:
shallow cylindrical reticulated shells;  initial damage;  nonlinear dynamic characteristic
分类号:
TU33
DOI:
10.15986/j.1006-7930.2017.01.012
文献标志码:
A
摘要:
基于Lemaitre损伤理论和连续化法建立了正三角形网格的三向单层扁柱面网壳的非线性动力学方程和协调方程．在两对边简支条件下用分离变量函数法给出考虑损伤扁柱面网壳的横向位移．通过Galerkin作用得到系统的非线性振动微分方程，给出方程准确解．利用Melnikov函数得到损伤扁柱面网壳发生混沌运动的临界条件，通过实例计算，分析证明了材料的损伤降低了系统发生混沌运动的门槛．
Abstract:
Based on Lemaitre’s damage theory and in consideration of the damage of bars of the shallow cylindrical reticulated shells, nonlinear dynamical equations of the system were obtained by the quasi-shell method. The lateral displacement of the shells under the condition of two edges simple support was solved by the separating variable method. Furthermore an accurate free vibration solution of nonlinear vibration differential equation was obtained by Galerkin method. The theoretical critical condition of chaos was presented by Melnikov Function and existence of the its chaos motion was approved by digital simul ation method. It is found that the initial damage bars make its chaos threshold decrease.

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备注/Memo

备注/Memo:
基金项目：国家自然科学基金河南省联合基金U1404524，河南省科技厅基础与技术前沿研究项目142300410040
收稿日期：2015-08-08 修改稿日期：2016-04-09
作者简介：栗蕾(1979-), 女 ，博士，讲师,大跨空间结构的非线性稳定性，Email：lileixiaozhou@163.com
更新日期/Last Update: 2017-03-16