利用Maple计算弹性基础上任意四边形筏板的振动

在线阅读下载PDF

导出

摘要本文研究弹性基础上任意四边形中厚板的横向振动问题。利用计算软件Maple，采用Pb-2Ritz法求得板的自振频率。并通过算例考察了基础刚度参数、边界条件、横向剪切变形等对板振动特忡的影响。

作者许龙海

机构地区上海交通大学建筑工程与力学学院

出处《建筑技术开发》 2004年第7期36-36,51,共2页 Building Technology Development

关键词 MAPLE 横向振动任意四边形板弹性基础

参考文献6

1Shen H-S,Yang J,Zhang L.Free and forced vibration of Reissner-Mindlin plates with free edges resting Oil elastic foundations.Joumal of Sound and Vibration,2001,244(2):299—320.
2杨杰,沈惠申,邵萌.弹性基础上预应力中厚矩形板的横向振动[J].上海交通大学学报,2002,36(11):1600-1604. 被引量：2
3Xiang Y,Kitipomchai S,Hew K M.Buckling and vibration of laminates On Pastemak foundations.Journal of Engineering Mechanics ASCE,1996,122(1):54.63.
4Karunasena W,Liew K M.Al-Bermani F G A.Natural frequencies of thick arbitrary quadrilateral plates using the pb-2 Ritz method.Journal of Sound and Vibration,1996,196(4):371.385.
5Karunasena W.Kitipomehai S.Al-Bermani F G A.Free vibration of cantilevered arbitrary triangular Mindlin plates.International Journal of Mechanical Sciences,1996.38(4):431—442.
6武兰河.任意四边形厚板的自由振动[J].力学季刊,2001,22(2):258-263. 被引量：4

1Xiang Y, Kitipornchai S, Liew K M. Bucking and vibration of thick laminates on Pasternak foundations[J]. Journal of Engineering Mechanics ASCE,1996,122(1):54-53.
2Matsunaga H. Vibration and stability of thick plates on elastic foundations[J]. Journal of Engineering Mechanics ASCE,2000,126(1):27-34.
3Roufaeil O L, Dawe D J. Rayleigh-Ritz vibration analysis of rectangular Mindlin plates subjected to membrane stresses[J]. Journal of Sound and Vibration,1982,85:263-275.
4Liew K M, Xiang Y, Kitipornchai S. Transverse vibration of thick rectangular plate.Ⅳ. Influence of isotropic in-plane pressure[J]. Computers and Structures,1993,49(1):69-78.
5Xiang Y, Wang C M, Kitipornchai S. Exact vibration solution for initially stressed Mindlin plates on Pasternak foundations[J]. International Jounral of Mechanical Sciences,1994,36(4):311-316.
6Shen H-S, Yang J, Zhang L. Dynamic response of Reissner-Mindlin plates under thermo-mechanical loading and resting on elastic foundations[J]. Journal of Sound and Vibration,2000,232(2):309-329.
7Shen H-S, Yang J, Zhang L. Free and forced vibration of Reissner-Mindlin plates with free edges resting on elastic foundations[J]. Journal of Sound and Vibration,2000,244(2):299-320.
8Shu C, Wang C M. Treatment of mixed and monuniform boundary conditions in GDQ vibration analysis of rectangular plates[J]. Engineering Structurs,1999,21(1):125-134.
9Wang G，Int J Solid Struct，1994年，31卷，657页
10Lim S P，J Sound Vib，1989年，130卷，163页

建筑技术开发

2004年第7期

内容加载中请稍等...