杆系结构极限承载力分析的弹性模量缩减法影响因素研究
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摘要
为了在杆系结构设计与优化中有效地应用弹性模量缩减法,分别对弹性模量缩减法影响因素、影响规律及其相应参数取值进行研究。研究遴选出构件网格密度、迭代收敛容差、考虑内力项数作为弹性模量缩减法极限承载力分析的主要影响因素,对比分析了上述影响因素对弹性模量缩减法计算效率和精度的影响规律,并据此给出了各计算参数在杆系结构利用弹性模量缩减法进行极限承载力分析中的合理取值建议。研究表明:杆系结构构件网格宜划分为2～8个单元;收敛容差建议不大于0. 001;平面杆系结构仅考虑弯矩作用便可高精度地求得结构极限承载力,空间杆系结构则建议同时考虑弯矩和轴力作用求解结构极限承载力。
In order to effectively use elastic modulus reduction method( EMRM) in structural design and optimization of framed structures,the influence factors and their correlation and corresponding parameters on EMRM are investigated separately. The mesh density,iteration convergence tolerance and internal forces are selected as mainly influence factors,and the correlation of these influence factors to the efficiency and precision of Elastic ModulusReduction is investigated,and reasonablevalues for the corresponding parameters are suggested. The results show that each component should be discretized into 2 ～ 8 elements,and the convergence tolerance is recommended to be little than 0.001. For accurately calculating the ultimate bearing capacity of plane framed structures,bending moment are the only internal force that must be considered, while for that of space framed structures,bending moments and axial force should be considered together.
In order to effectively use elastic modulus reduction method( EMRM) in structural design and optimization of framed structures,the influence factors and their correlation and corresponding parameters on EMRM are investigated separately. The mesh density,iteration convergence tolerance and internal forces are selected as mainly influence factors,and the correlation of these influence factors to the efficiency and precision of Elastic ModulusReduction is investigated,and reasonablevalues for the corresponding parameters are suggested. The results show that each component should be discretized into 2 ～ 8 elements,and the convergence tolerance is recommended to be little than 0.001. For accurately calculating the ultimate bearing capacity of plane framed structures,bending moment are the only internal force that must be considered, while for that of space framed structures,bending moments and axial force should be considered together.
引文
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[12]杨绿峰,解威威,郑健,等.哑铃型钢管混凝土拱肋极限承载力的线弹性分析方法[J].交通运输工程学报,2017,17(3):25-35.
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[15] YANG L,YU B,JU J W. Incorporated strength capacity technique for limit load evaluation of trusses and framed structures under constant loading[J]. Journal of Structural Engineering,2015,141(11):4015023.
[16]杨绿峰,刘敬敏,余波.恒荷载效应显著结构失效模式分析的弹性模量缩减法[J].土木工程学报,2016,49(4):78-87.
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[19]杨绿峰,李琦,张伟,等.圆管截面齐次广义屈服函数与结构极限承载力[J].计算力学学报,2013,30(5):693-698.
[20]杨绿峰,李琦,张伟.工程结构整体承载力设计与优化的弹性模量缩减法研究[J].土木工程学报,2015,48(5):61-70.
[21] YANG L F,ZHANG W,YU B,et al. Safety evaluation of branch pipe in hydropower station using elastic modulus reduction method[J]. Journal of Pressure Vessel Technology,2012,134(4):41202.
[22]杨绿峰,张伟,韩晓凤.水电站压力钢管整体安全评估方法研究[J].水力发电学报,2011,30(5):149-156.
[23]杨绿峰,李琦,张伟.钢桁架梁桥结构两层面承载力分析和优化[J].土木建筑与环境工程,2013,36(6):51-57.
[24]杨绿峰,欧伟,张伟.桥梁结构两层面承载力设计与优化的策略和方法[J].中国公路学报,2016,29(7):62-71.
[25] YANG L F,LIU J M,YU B,et al. Failure path-independent methodology for structural damage evolution and failure mode analysis of framed structures[J]. International Journal of Damage Mechanics,2016,26(2):274-292.
[26]杨绿峰,吴文龙,余波.基于弹性模量缩减法的随机极限承载力分析[J].西南交通大学学报,2013,48(6):1016-1023.
[27]张伟,张阳,叶征远,等.考虑材料应变硬化的结构极限分析的弹性模量缩减法[J].应用基础与工程科学学报,2017,25(4):760-769.
[28]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].西南交通大学学报,2012,47(5):748-753.
[29]杨绿峰,杨大尉.基于累积荷载效应分析刚架结构极限承载力[J].应用力学学报,2017,34(2):210-215.
[30] XUE J,QI L,GAO L,et al. Mechanical behavior of lattice steel reinforced concrete inner frame with irregular section columns under cyclic reversed loading[J]. Engineering Structures,2016,128:225-236.
[31]杨锐玲,朱以文.钢结构构件高温极限承载力实用计算方法[J].武汉大学学报(工学版),2010,43(3):382-385.
[2] MACKENZIE D,BOYLE J T. A method of estimating limit loads by iterative elastic analysis. I-simple examples[J]. International Journal of Pressure Vessels&Piping,1992,53(1):77-95.
[3] SESHADRI R,FERNANDO C P D. Limit loads of mechanical components and structures using the GLOSS R-Node method[J]. Journal of Pressure Vessel Technology,1992,114(2):201-208.
[4] ADIBI-ASL R,FANOUS I F Z,SESHADRI R. Elastic modulus adjustment procedures—Improved convergence schemes[J]. International Journal of Pressure Vessels&Piping,2006,83(2):154-160.
[5] CHEN L,LIU Y,YANG P,et al. Limit analysis of structures containing flaws based on a modified elastic compensation method[J]. European Journal of Mechanics,2008,27(2):195-209.
[6] MAHMOOD S L,ADIBI-ASL R,DALEY C G. Plastic response estimation in repeated elastic analyses for strain hardening material model[J]. Journal of Pressure Vessel Technology Transactions of the ASME,2013,135(5):51201.
[7] GUDIMETLA P S R,KATNA M. Comparison of elastic and plastic reference volume approaches[J]. Journal of Pressure Vessel Technology,2013,135(1):11202.
[8] SIMHA H,ADIBI-ASL R. Estimating lower bound limit loads for structures subjected to multiple loads[J]. Journal of Pressure Vessel Technology,2015,137(4):41205.
[9]杨绿峰,余波,张伟.弹性模量缩减法分析杆系和板壳结构的极限承载力[J].工程力学,2009,26(12):64-70.
[10] YANG L F,QIAO Y P. Elastic modulus reduction method for limit load evaluation of frame structures[J]. Solid Mechanics(English version),2009,22(2):109-115.
[11]杨绿峰,郑健,张伟,等.钢管混凝土拱桥极限承载力分析的自适应方法[J].中国公路学报,2017,30(3):191-199.
[12]杨绿峰,解威威,郑健,等.哑铃型钢管混凝土拱肋极限承载力的线弹性分析方法[J].交通运输工程学报,2017,17(3):25-35.
[13] YU B,YANG L F. Elastic modulus reduction method for limit analysis of thin plate and shell structures[J]. Thin-walled Structures,2010,48(4):291-298.
[14] YU B,YANG L F. Elastic modulus reduction method for limit analysis considering initial constant and proportional loadings[M]. Finite Elements in Analysis and Design,2010:1086-1092.
[15] YANG L,YU B,JU J W. Incorporated strength capacity technique for limit load evaluation of trusses and framed structures under constant loading[J]. Journal of Structural Engineering,2015,141(11):4015023.
[16]杨绿峰,刘敬敏,余波.恒荷载效应显著结构失效模式分析的弹性模量缩减法[J].土木工程学报,2016,49(4):78-87.
[17] YANG L F,LI Q,ZHANG W,et al. Homogeneous generalized yield criterion based elastic modulus reduction method for limit analysis of thin-walled structures with angle steel[J]. Thin-Walled Structures,2014,80(9):153-158.
[18]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].工程力学,2013,30(5):317-323.
[19]杨绿峰,李琦,张伟,等.圆管截面齐次广义屈服函数与结构极限承载力[J].计算力学学报,2013,30(5):693-698.
[20]杨绿峰,李琦,张伟.工程结构整体承载力设计与优化的弹性模量缩减法研究[J].土木工程学报,2015,48(5):61-70.
[21] YANG L F,ZHANG W,YU B,et al. Safety evaluation of branch pipe in hydropower station using elastic modulus reduction method[J]. Journal of Pressure Vessel Technology,2012,134(4):41202.
[22]杨绿峰,张伟,韩晓凤.水电站压力钢管整体安全评估方法研究[J].水力发电学报,2011,30(5):149-156.
[23]杨绿峰,李琦,张伟.钢桁架梁桥结构两层面承载力分析和优化[J].土木建筑与环境工程,2013,36(6):51-57.
[24]杨绿峰,欧伟,张伟.桥梁结构两层面承载力设计与优化的策略和方法[J].中国公路学报,2016,29(7):62-71.
[25] YANG L F,LIU J M,YU B,et al. Failure path-independent methodology for structural damage evolution and failure mode analysis of framed structures[J]. International Journal of Damage Mechanics,2016,26(2):274-292.
[26]杨绿峰,吴文龙,余波.基于弹性模量缩减法的随机极限承载力分析[J].西南交通大学学报,2013,48(6):1016-1023.
[27]张伟,张阳,叶征远,等.考虑材料应变硬化的结构极限分析的弹性模量缩减法[J].应用基础与工程科学学报,2017,25(4):760-769.
[28]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].西南交通大学学报,2012,47(5):748-753.
[29]杨绿峰,杨大尉.基于累积荷载效应分析刚架结构极限承载力[J].应用力学学报,2017,34(2):210-215.
[30] XUE J,QI L,GAO L,et al. Mechanical behavior of lattice steel reinforced concrete inner frame with irregular section columns under cyclic reversed loading[J]. Engineering Structures,2016,128:225-236.
[31]杨锐玲,朱以文.钢结构构件高温极限承载力实用计算方法[J].武汉大学学报(工学版),2010,43(3):382-385.