[1]刘俊卿,曹书文,周双平.层状地基矩形板结构系统动力响应的一种数值解法[J].西安建筑科技大学学报:自然科学版,2011,43(02):183-186.[doi:DOI :10.15986/j .1006-7930.2011.02.002]
　L IU J un-qing,CAO S hu-wen,Z HOU S huang-ping.A numerical solution to the dynamic response of layered soil pavement slab system[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2011,43(02):183-186.[doi:DOI :10.15986/j .1006-7930.2011.02.002]
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层状地基矩形板结构系统动力响应的一种数值解法()
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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:
43
期数:
2011年02期
页码:
183-186
栏目:
出版日期:
2011-04-30

文章信息/Info

Title:
A numerical solution to the dynamic response of layered soil pavement slab system
文章编号:
1006-7930(2011)02-0183-04
作者:
刘俊卿;  曹书文;  周双平
(1.西安建筑科技大学理学院, 陕西西安710055 ;2.中国京冶工程技术有限公司, 北京100010)
Author(s):
L IU J un-qing1 ;  CAO S hu-wen1 ;  Z HOU S huang-ping 2
(1 .Schoo l of Science , Xi′an Univ ersity of Architecture & Techno log y , Xi′an 710055 , China ;
2.China Jingy e Eng ineering Co rpo ratio n Limited, Beijing 100010 , China)
关键词:
等效刚度; 静力凝聚; 无限单元; 耦合问题; 动力响应
Keywords:
equivalent sti f f ness ;  static condensation ;  in f inite e lement ;  coupling problem ;  dy namic response
分类号:
TU443
DOI:
DOI :10.15986/j .1006-7930.2011.02.002
文献标志码:
A
摘要:
为解决矩形板在动荷载作用下的动力反应, 以矩形板和层状地基组成的系统为研究对象, 建立有限元
与无限元耦合模型, 根据哈密尔顿原理推出系统的动力方程.用静力凝聚法及接触面的节点位移和板中面节
点位移的几何关系, 将地基反力用板中面节点位移和地基等效刚度来表示, 从而把地基反力从系统中解耦出
来, 采用Wilso n 法导出系统的等效刚度矩阵和等效荷载列向量, 求解出系统在弹性阶段的动力响应.结果表
明:应用空间有限元与无限元模型很好的解决了人工边界的不足, 使计算与实际更接近;解决了板与地基的耦
合和无限元的质量矩阵的确定的难题, 为无限元的应用提供有效的方法.
Abstract:
To so lve the dynamic re sponse o f rectangle plate under dynamic lo ad, the system compo sed of layer ed soil and
rectang le plate is studied and the motio n equatio n is deduced by the Hamilton’ s Principle .Acco rding to the sta tic conde nsatio
n and geome trical relationship of the no des displacement on the co ntact surface and middle plane , the subgr ade reaction
is ex pr essed by the no des displacement of the middle plane and subg r ade equivale nt stiffness , so the subg rade r eac tion
is decoupled o ut fr om the sy stem .The equiv alent stiffness matrix and equivalent load v ecto r are deduced by Wilson me tho
d , and the dy namic respo nses in e lastic step a re so lved .The results show that the coupling model so lv es the deficiency o f
artificial bounda ry co nditio n, and the results agree with reality .The coupling pro blem of plate and foundatio n and the
mass matr ix of infinite element a re so lv ed, providing effective method fo r the a pplica tion of infinite e lement.

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备注/Memo

备注/Memo:
收稿日期:2009-12-17 　　修改稿日期:2011-03-12
基金项目:陕西省自然科学基金资助项目(2009D1001)
作者简介:刘俊卿(1957-), 男,陕西榆州人, 博士, 教授, 从事工程力学、岩土力学方面的研究工作
更新日期/Last Update: 2015-11-01