首页 | 本学科首页   官方微博 | 高级检索  
     检索      

线性变厚度粘弹性矩形板在随从力作用下的动力稳定性
引用本文:王砚,王忠民.线性变厚度粘弹性矩形板在随从力作用下的动力稳定性[J].固体力学学报,2008,29(1):41-51.
作者姓名:王砚  王忠民
作者单位:西安理工大学理学院,西安,710048
基金项目:陕西省自然科学基础研究计划项目(2005A18)资助.
摘    要:利用粘弹性微分型本构关系和薄板理论,对线性变厚度粘弹性矩形薄板建立了在切向均布随从力作用下的运动微分方程,采用微分求积法研究了在随从力作用下线性变厚度粘弹性矩形薄板的稳定性问题,具体对对边简支对边固支和三边简支一边固支条件下体变为弹性、畸变服从Kelvin-Voigt模型的变厚度粘弹性矩形板在随从力下的广义特征值问题进行了求解,分析了薄板的长宽比、厚度比及材料的无量纲延滞时间的变化对随从力作用下矩形薄板的失稳形式及相应的临界荷载的影响.

关 键 词:线性变厚度  粘弹性板  随从力  动力稳定性
收稿时间:2007-08-08
修稿时间:2007-11-26

DYNAMIC STABILITY OF A LINEARLY VARYING-THICKNESS VISCOELASTIC RECTANGULAR PLATE SUBJECTED TO FOLLOWER FORCE
Yan Wang,Zhongmin Wang.DYNAMIC STABILITY OF A LINEARLY VARYING-THICKNESS VISCOELASTIC RECTANGULAR PLATE SUBJECTED TO FOLLOWER FORCE[J].Acta Mechnica Solida Sinica,2008,29(1):41-51.
Authors:Yan Wang  Zhongmin Wang
Abstract:Based on the viscoelastic differential constitutive relation and the thin plate theory,the motion equations of a linearly varying-thickness viscoelastic plate subjected to uniformly distributed tangential follower force are derived.The dynamic stability of a linearly varying-thickness visoelastic rectangular plate is investigated by the differential quadrature method.Under assumption that dilatation is elastic and distortion follows the Kelvin-Voigt model,eigenvalue equations of a linearly varying-thickness viscoelastic plate subjected to uniformly distributed tangential follower force are calculated,where the plate is with two opposite edges simply supported and other two edges clamped,or with three edges simply supported and other edges clamped.The effects of the aspect ratio,thickness ratio and dimensionless delay time on the type of instability and the corresponding critical loads of the viscoelastic plate are analyzed.
Keywords:linearly varying thickness  viscoelastic plate  follower force  dynamic stability
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号