土石坝地震永久变形计算方法_李湛

土石坝地震永久变形计算方法

李 湛1,3,栾茂田2,3

(11中国建筑科学研究院,北京 100013;

21大连理工大学海岸和近海工程国家重点实验室,辽宁大连 116024;

31大连理工大学土木水利学院岩土工程研究所,辽宁大连 116024)

摘 要:对于土石坝的地震永久变形,本文提出等效结点力-逐步软化有限元计算模型。首先根据坝体地震动力响应的

非线性有限元分析确定各时段坝体单元可能发生的残余应变、振动孔隙水压力增量及累积振动孔隙水压力,以此对静变

形模量和强度及静应力-应变关系进行修正,并应用于下一时段计算中;同时基于所确定的与上一时段地震作用所产生

的潜在残余应变增量和静应力-应变关系确定地震作用相应的等效结点力。在每一时段末根据上述所确定的等效结点

力和应力-应变关系,运用整体有限元分析确定坝休的残余变形增量,将各个时段计算所确定的残余位移累加得到地震

作用后坝体的残余变形量。这种方法能够同时考虑地震惯性力效应和土的软化效应对土石坝地震永久变形的影响。

关键词:水工结构;地震永久变形;等效结点力-逐步软化有限元模型;土石坝;抗震稳定性

中图分类号:TV312文献标识码:A

收稿日期:2008-03-03

基金项目:国家自然科学基金(50179006),教育部跨世纪优秀人才培养计划研究基金和中国科学院武汉岩土力学研究所前沿领域基础研究基金

(Q110305)

作者简介:李湛(1975)),男,博士.E -mail:lz -xj@

Computation method for seismically -induced permanent

deformation of earth -rock dams

LI Zhan 1,3,LUAN Maotian 2,3

(1.China Academy o f Building Research ,Beijing 100013;

2.State Key Laboratory o f Coastal and O ffshore Engineering ,Dalian University o f Technology ,Dalian 116024;

3.Institute o f Geotechnical Engineering ,School o f Civil and Hydraulic Engineering ,

Dalian University o f Technology ,Dalian 116024)

Abstract :This paper presents a finite element procedure for evaluating seismically -induced permanent deformation

of earth -rock da ms.In the proposed procedure,both concepts of equivalent nodal forces and step -by -step gradually

softening moduli are integrated together.The earthquake duration is divided into a certain number of time

incre ments.And for each time increment the residual strain and dyna mic pore water pressure which is likely induced

during previous time increments under undrained condition are estimated on the basis of the stress condition obtained

by the dyna mic analysis and the empirical patterns of both residual strain and pore water pressure achieved

e xperimentally.Then,the computed accumulative pore -water pressure at the end o

f each time increment is used

directly to modify the static hyperbolic relationship between stress and strain which is to be used for the next time

period.And at the same time,the equivalent nodal forces equivalent to incremental residual strain potential are

defined.B y using the modified stress -strain relationship,the incremental deformations are computed when the nodal

forces equivalent to earthquake effect on the dam defined as above are imposed on the earth -rock dam.The

computed incremental displacements of the earth -rock dam for each time incre ment are accumulated and the

accumulative displacements can be regarded as approximation of the residual deformation which is to be initiated by

earthquake shaking.In fact,the proposed numerical procedure has taken into c onsideration both the inertia effect

第28卷第4期

2009年8月水 力 发 电 学 报JOURNAL OF HYDROELEC TRIC ENGINEERING Vol.28 No.4Aug.,2009