基于塑性应变能密度的钢筋混凝土墩柱损伤准则
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摘要
为建立一个能够用于评估动力荷载作用下钢筋混凝土墩柱横截面损伤情况且具有较好精度的损伤模型,本文首先基于能量平衡原理,推导了塑性应变能密度损伤准则;然后,按照裂缝扩展情况,建立了钢筋混凝土墩柱性能水平划分等级,并采用ABAQUS软件对33根钢筋混凝土墩柱拟静力试验模型进行动力损伤分析,确定了损伤指数与性能水平划分等级之间的对应关系,量化了动力荷载作用下钢筋混凝土墩柱横截面损伤评价模型;最后,引入支持向量机算法对塑性应变能密度损伤准则的归一化参数值进行预测,并通过算例验证了塑性应变能密度损伤准则和支持向量机算法用于钢筋混凝土墩柱横截面损伤分析的精度和可行性。
A damage model for accurate evaluation of the cross section damage of reinforced concrete pier under dynamic load is established. First, the damage criterion of plastic strain energy density is deduced.Then, the performance level of reinforced concrete pier is established based on the condition of crack propagation. The correspondence relationship between damage index and performance level is determined through analyzing the dynamic damage of 33 quasi-static test model of reinforced concrete pier by the software of ABAQUS, and the evaluation model of the cross section damage of reinforced concrete pier under dynamic load is quantified. Finally, the Support Vector Machine algorithm is used to predict the normalized parameters of the plastic strain energy density damage criterion. The accuracy and applicability of the plastic strain energy density damage criterion and the Support Vector Machine algorithm which were used to analyze the cross section damage of the reinforced concrete pier are verified by numerical examples.
A damage model for accurate evaluation of the cross section damage of reinforced concrete pier under dynamic load is established. First, the damage criterion of plastic strain energy density is deduced.Then, the performance level of reinforced concrete pier is established based on the condition of crack propagation. The correspondence relationship between damage index and performance level is determined through analyzing the dynamic damage of 33 quasi-static test model of reinforced concrete pier by the software of ABAQUS, and the evaluation model of the cross section damage of reinforced concrete pier under dynamic load is quantified. Finally, the Support Vector Machine algorithm is used to predict the normalized parameters of the plastic strain energy density damage criterion. The accuracy and applicability of the plastic strain energy density damage criterion and the Support Vector Machine algorithm which were used to analyze the cross section damage of the reinforced concrete pier are verified by numerical examples.
引文
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[14]陆新征,叶列平,潘鹏,等.钢筋混凝土框架结构拟静力倒塌试验研究及数值模拟竞赛Ⅱ:关键构件试验[J].建筑结构,2012,42(11):2326.Lu Xinzheng,Ye Lieping,Pan Peng,et al.Pseudo-static collapse experiments and numerical prediction competition of RC frame structure II:key elements experiment[J].Building Structure,2012,42(11):2326.
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[16]Ohno T,Nishioka T.An experimental study on energy absorption capacity of columns in reinforced concrete structures[J].Proceedings of the Japan Society of Civil Engineers,1984,1(2):137147.
[17]Saatcioglu M,Ozcebe G.Response of reinforced concrete columns to simulated seismic loading[J].ACIStructural Journal,1989,86(1):312.
[18]Matamoros A B.Study of drift limits for highstrength concrete columns[D].UrbanaChampaign:University of Illinois,1999.
[19]Mo Y L,Wang S J.Seismic behavior of RC columns with various tie configurations[J].Journal of Structural Engineering,2000,126(10):11221130.
[20]Aboutaha R S,Engelhardt M D,Jirsa J O,et al.Rehabilitation of shear critical concrete columns by use of rectangular steel jackets[J].ACI Structural Journal,1999,96(1):6878.
[21]Takemura H,Kawashima K.Effect of loading hysteresis on ductility capacity of bridge piers[J].Journal of Structural Engineering,1997,43(A):849858.
[22]梁循.支持向量机算法及其金融应用[M].北京:知识产权出版社,2012.
[23]周志华.机器学习[M].北京:清华大学出版社,2017.
[2]刘英亮,邢佶慧.基于能量的单层球面网壳强震响应规律研究[J].建筑结构学报,2010(增刊2):3033.Liu Yingliang,Xing Jihui.Energybased research on response of singlelayer reticulated domes subjected to severe earthquakes[J].Journal of Building Structures,2010(Sup.2):30-33.
[3]张明,张瑀,周广春,等.基于应变能密度的单层球面网壳结构失效判定准则[J].土木工程学报,2014,47(4):5663.Zhang Ming,Zhang Yu,Zhou Guangchun,et al.Criterion for judging failure of singlelayer latticed dome based on strain energy density[J].China Civil Engineering Journal,2014,47(4):5663.
[4]苗超.裂缝对混凝土重力坝动力特性及动力承载力影响的研究[D].南京:南京林业大学土木工程学院,2015.Miao Chao.Research on the effects of the dynamic characteristics and the dynamic bearing capacity under the crack of concrete gravity dam[D].Nanjing:College of Civil Engineering,Nanjing Forestry University,2015.
[5]王洪波.基于能量判别的结构地震响应研究[D].合肥:中国科学技术大学工程科学学院,2011.Wang Hongbo.The research on structural seismic response based on energy analysis[D].Hefei:School of Engineering Science,University of Science and Technology of China,2011.
[6]范立础,卓卫东.桥梁延性抗震设计[M].北京:人民交通出版社,2001.
[7]李正,李忠献.基于修正弹塑性损伤模型的钢筋混凝土高桥墩地震损伤分析[J].土木工程学报,2011,44(7):7176.Li Zheng,Li Zhongxian.Seismic damage analysis of RC high bridge piers using a modified elastoplastic damage model[J].China Civil Engineering Journal,2011,44(7):7176.
[8]Chopra A K.结构动力学-理论及其在地震工程中的应用[M].谢礼立,吕大刚等译.北京:高等教育出版社,2013.
[9]GB 50010-2010.混凝土结构设计规范[S].
[10]Park Y J,Ang H S.Mechanistic seismic damage model of reinforced concrete[J].Journal of Structural Engineering(ASCE),1985,111:722739.
[11]温凌燕,娄宇,聂建国.结构大震弹塑性时程分析中的能量反应分析[J].土木工程学报,2014,47(5):18.Wen Lingyan,Lou Yu,Nie Jianguo.Energybased analysis in elasticplastic time-history analysis of structure under large earthquake[J].China Civil Engineering Journal,2014,47(5):18.
[12]王洪波,吴恒安,王秀喜.基于塑性损耗的超高层建筑结构抗震性能分析[J].中国科学技术大学学报,2011,41(9):812-819.Wang Hongbo,Wu Hengan,Wang Xiuxi.Seismic analysis of super highrise structures based on plastic damage[J].Journal of University of Science and Technology of China,2011,41(9):812819.
[13]范书立,陈明阳,陈健云,等.基于能量耗散碾压混凝土重力坝地震损伤分析[J].振动与冲击,2011,30(4):271275.Fan Shuli,Chen Mingyang,Chen Jianyun,et al.Seismic damage analysis of a concrete gravity dam based on energy dissipation[J].Journal of Vibration and Shock,2011,30(4):271275.
[14]陆新征,叶列平,潘鹏,等.钢筋混凝土框架结构拟静力倒塌试验研究及数值模拟竞赛Ⅱ:关键构件试验[J].建筑结构,2012,42(11):2326.Lu Xinzheng,Ye Lieping,Pan Peng,et al.Pseudo-static collapse experiments and numerical prediction competition of RC frame structure II:key elements experiment[J].Building Structure,2012,42(11):2326.
[15]Tanaka H,Park R.Effect of lateral confining reinforcement on the ductile behavior of reinforced concrete columns[D].Christchurch:University of Canterbury,1990.
[16]Ohno T,Nishioka T.An experimental study on energy absorption capacity of columns in reinforced concrete structures[J].Proceedings of the Japan Society of Civil Engineers,1984,1(2):137147.
[17]Saatcioglu M,Ozcebe G.Response of reinforced concrete columns to simulated seismic loading[J].ACIStructural Journal,1989,86(1):312.
[18]Matamoros A B.Study of drift limits for highstrength concrete columns[D].UrbanaChampaign:University of Illinois,1999.
[19]Mo Y L,Wang S J.Seismic behavior of RC columns with various tie configurations[J].Journal of Structural Engineering,2000,126(10):11221130.
[20]Aboutaha R S,Engelhardt M D,Jirsa J O,et al.Rehabilitation of shear critical concrete columns by use of rectangular steel jackets[J].ACI Structural Journal,1999,96(1):6878.
[21]Takemura H,Kawashima K.Effect of loading hysteresis on ductility capacity of bridge piers[J].Journal of Structural Engineering,1997,43(A):849858.
[22]梁循.支持向量机算法及其金融应用[M].北京:知识产权出版社,2012.
[23]周志华.机器学习[M].北京:清华大学出版社,2017.