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余能原理基面力元法在重力坝应力分析中的应用
引用本文:张昭锋,彭一江,郭庆,单岩岩. 余能原理基面力元法在重力坝应力分析中的应用[J]. 河北机电学院学报, 2014, 0(5): 425-428
作者姓名:张昭锋  彭一江  郭庆  单岩岩
作者单位:北京工业大学建筑工程学院,北京100124
基金项目:国家自然科学基金(10972015)
摘    要:介绍了二维线弹性问题的余能原理基面力元法。该方法以基线力表征物体的受力状态,以其对偶量位移梯度表征物体的变形状态。通过重力坝算例与平面4节点等参元(Q4模型)和平面4节点减缩积分单元(Q4R模型)的对比分析,探讨了基面力元法应用于重力坝应力分析的可行性。数值分析结果表明,基于余能原理的基面力元法具有较高的计算精度,可以应用于重力坝应力分析问题,有较广阔的应用前景。

关 键 词:余能原理  基线力  基面力元法  重力坝  应力

Application of complementary energy principle based base force element method in stress analysis of gravity dam
ZHANG Zhaofeng,PENG Yijiang,GUO Qing,SHAN Yanyan. Application of complementary energy principle based base force element method in stress analysis of gravity dam[J]. , 2014, 0(5): 425-428
Authors:ZHANG Zhaofeng  PENG Yijiang  GUO Qing  SHAN Yanyan
Affiliation:(College of Civil and Engineering, Beijing University of Teehnology, Beijing 100124, China)
Abstract:The complementary energy principle based base force element method(BFEM)for two-dimensional linear elastic problems is presented.It uses baseline forces as fundamental variables to characterize the stress state of objects,and uses dual displacement gradient to characterize the deformation.In this paper,some examples about gravity dam are compared with 4-node plane isoperimetric element(Q4model)and 4-node plane reduced-integration element(Q4Rmodel),exploring the feasibility of base force application element method in stress analysis of gravity dam.The results show that the base force element method based on complementary energy principle has higher accuracy and can be applied to stress analysis of gravity dam.It has wide application extension.
Keywords:complementary energy principle  base forces  base force element method  gravity dam  stress
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