基于弹性模量缩减法的随机极限承载力分析

杨绿峰; 吴文龙; 余波

doi:10.3969/j.issn.0258-2724.2013.06.008

基于弹性模量缩减法的随机极限承载力分析

doi: 10.3969/j.issn.0258-2724.2013.06.008

杨绿峰^1,2,
吴文龙^1,3,
余波¹

基金项目:

国家自然科学基金资助项目（51168003）

国家人社部2012年度留学人员科技活动择优资助项目（[2012]-258）

广西壮族自治区自然科学基金重大项目（2012GXNSFEA053002）

广西壮族自治区自然科学青年基金资助项目（2013GXNSFBA019237）

广西壮族自治区高校科学技术研究项目（2013YB009）

详细信息

作者简介:
杨绿峰（1966-），男，教授，博士，博士生导师，主要研究方向为结构可靠度和结构耐久性，E-mail：lfyang@gxu.edu.cn

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出版历程
- 收稿日期: 2012-08-05
- 刊出日期: 2013-12-25

Stochastic Ultimate Bearing Capacity Analysis Based on Elastic Modulus Reduction Method

摘要

摘要: 为确定工程结构的随机极限承载力，结合弹性模量调整策略和摄动随机有限元法，提出一种基于弹性模量缩减法的随机极限承载力分析方法.首先利用摄动随机有限元法计算结构的随机响应量和单元可靠指标，并定义单元可靠指标均匀度和基准可靠指标，进而论证随机极限分析的比例加载条件及随机响应量的比例关系；然后通过有策略地缩减低可靠度单元的弹性模量，以模拟结构的失效演化历程，形成一系列静力容许应力场，进而根据塑性极限分析理论确定结构的失效模式及其对应的随机极限承载力.算例分析结果表明，该方法通常只需要迭代15步左右即可收敛，与蒙特卡洛法（抽样50万次）的相对误差在0.5%以内.
- 随机极限承载力 /
- 随机有限元法 /
- 弹性模量缩减法 /
- 比例加载条件
Abstract: To determine the stochastic ultimate bearing capacity of engineering structures, a novel method for stochastic ultimate bearing capacity analysis based on the elastic modulus reduction method (EMRM) was proposed by combining the elastic modulus adjustment procedure (EMAP) and the perturbation stochastic finite element method (PSFEM). The stochastic responses and reliability indices of structural elements were calculated by the PSFEM to define the uniformity of reliability indices and the reference reliability index. Meanwhile, the proportional loading conditions of stochastic limit analysis as well as the proportional relationship between the stochastic responses and the external loads were demonstrated theoretically. Finally, by adjusting the elastic moduli of elements with low reliability index the failure evolution was simulated to form a set of statically admissible stress fields, and further the structural failure mode and the corresponding stochastic ultimate bearing capacity were determined based on the plastic limit analysis theory. Numerical examples demonstrate that the proposed method is converged after 15 iterative steps or so, and compared with the Monte Carlo method for 500 000 samples, it has a relative error of less than 0.5%.
- stochastic ultimate bearing capacity /
- stochastic finite element method /
- elastic modulus reduction method /
- proportional loading condition

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参考文献(45)

李松, 强士中, 唐英. 钢筋混凝土拱桥极限承载力的参数研究

LIU Fengtao, ZHAO Jidong. Upper bound limit analysis using radial point interpolation meshless method and nonlinear programming

[J]. 西南交通大学学报, 2007, 42(3): 293-298. LI Song, QIANG Shizhong, TANG Ying. Parametric investigation of ultimate bearing capacity of reinforced concrete arch bridges

[J]. Journal of Southwest Jiaotong University, 2007, 42(3): 293-298.

TONG Ruicheng, WANG Xucheng. Simplified method based on the deformation theory for structural limit analysis-Ⅰ. Theory and formulation

ADIBI-ASL R, FANOUS I F Z, SESHADRI R. Elastic modulus adjustment procedures-Improved convergence schemes

[J]. International Journal of Mechanical Sciences, 2013, 70(5): 26-38.

MAHMOOD S L, HADDARA M R, SESHADRI R. Limit loads of ship structure components using the elastic modulus adjustment procedure

MARIN-ARTIEDA C C, DARGUSH G F. Approximate limit load evaluation of structural frames using linear elastic analysis

YANG Lufeng, YU Bo, QIAO Yongping. Elastic modulus reduction method for limit load evaluation of frame structures

[J]. International Journal of Pressure Vessels and Piping, 1997, 70(1): 43-49.

YU Bo, YANG Lufeng. Elastic modulus reduction method for limit analysis of thin plate and shell structures

杨绿峰, 李琦, 张伟, 等. 齐次化广义屈服函数与角钢输电塔架极限承载力分析

[J]. International Journal of Pressure Vessels and Piping, 2006, 83(2): 154-160.

YANG Lufeng, ZHANG Wei, YU Bo, et al. Safety evaluation of branch pipe in hydropower station using elastic modulus reduction method

张伟, 刘利文, 杨绿峰, 等. 含缺陷结构上限极限分析的弹性模量缩减法

[J]. Ocean Engineering, 2010, 37(16): 1452-1463.

YANG Lufeng, YU Bo, JU J W. System reliability analysis of spatial variance frames based on random field and stochastic elastic modulus reduction method

VROUWENVELDER A C W M. Developments towards full probabilistic design codes

[J]. Engineering Structures, 2007, 29(3): 296-304.

YANG Lufeng, LEUNG A Y T, LI Q S. The stochastic finite segment in the analysis of the shear-lag effect on box-girder

STEFANOU G. The stochastic finite element method: Past, present and future

[J]. Acta Mechanica Solida Sinica, 2009, 22(2): 109-115.

秦权. 随机有限元及其进展Ⅰ.随机场的离散和反应矩的计算

[J]. Thin-Walled Structures, 2010, 48(4): 291-298.

樊治平, 宫贤斌, 张全. 区间数多属性决策中决策矩阵的规范化方法

张晓唏, 徐坚, 张鉴. 灰色效用函数在评价工科数学中的应用

[J]. 工程力学, 2013, 30(5): 317-323. YANG Lufeng, LI Qi, ZHANG Wei, et al. Homogeneous generalized yield criterion based ultimate bearing capacity evaluation of transmission towers fabricated with angle section

[J]. Engineering Mechanics, 2013, 30(5): 317-323.

周宏安, 刘三阳. 基于离差最大化模型的模糊多属性决策投影法

[J]. Journal of Pressure Vessel Technology, 2012, 134(4): 1-7.

[J]. 西南交通大学学报, 2012, 47(5): 748-753. ZHANG Wei, LIU Liwen, YANG Lufeng, et al. Elastic modulus reduction method for upper bound limit analysis of structure containing flaws

[J]. Journal of Southwest Jiaotong University, 2012, 47(5): 748-753.

[J]. Acta Mechanica, 2012, 223(1): 109-124.

[J]. Structural Safety, 2002, 24(2/3/4): 417-432.

[J]. Engineering Structures, 2001, 23(11): 1461-1468.

[J]. Computer Methods in Applied Mechanics and Engineering, 2009, 198(9/10/11/12): 1031-1051.

[J]. 工程力学, 1994, 11(4): 1-10. QIN Quan. Progress in stochastic finite element methods, part i. discretization of random fields and moments of structural responses

[J]. Engineering Mechanics, 1994, 11(4): 1-10.(中文编辑:唐晴英文编辑:周尧) (上接第1015页)

[J]. 东北大学学报:自然科学版, 1999, 20(3): 326-329. FAN Zhiping, GONG Xianbin, ZHANG Quan. Methods of normalizing the decision matrix for multiple attribute decision making problems with intervals

[J]. Journal of Northeastern University: Natural Science, 1999, 20(3): 326-329.

[J]. 北京联合大学学报:自然科学版, 2009, 23(3): 73-75.ZHANG Xiaoxi, XU Jian, ZHANG Jian. Application ofgrey utility function in engineering mathematics

[J]. Journal of Beijing Union University: Natural Sciences, 2009, 23(3): 73-75.

[J]. 系统工程与电子技术, 2007, 29(5): 741-744. ZHOU Hongan, LIU Sanyang. Projection method of fuzzy multi-attribute decision-making based on the maximal deviation model

[J]. Systems Engineering and Electronics, 2007, 29(5): 741-744.

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文章访问数: 1117
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PDF下载量: 342
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基于弹性模量缩减法的随机极限承载力分析

doi: 10.3969/j.issn.0258-2724.2013.06.008

作者简介: 杨绿峰（1966-），男，教授，博士，博士生导师，主要研究方向为结构可靠度和结构耐久性，E-mail：lfyang@gxu.edu.cn

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出版历程

Stochastic Ultimate Bearing Capacity Analysis Based on Elastic Modulus Reduction Method

计量

出版历程

目录

作者简介:
杨绿峰（1966-），男，教授，博士，博士生导师，主要研究方向为结构可靠度和结构耐久性，E-mail：lfyang@gxu.edu.cn