FRP加固多区域局部损伤钢压杆的动力稳定性研究
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摘要
为了研究纤维增强复合材料(Fiber Reinforced Polymer.FRP)加固多区域局部损伤钢压杆的动力稳定性,在充分计入任意多区域局部损伤对钢压杆整体刚度和单位分布质量的贡献以及对动力稳定性的影响的基础上,提出一种依赖于损伤单元单位分布质量和弯曲刚度两种损伤因子的动力稳定性分析方法。根据能量原理得到多区域局部损伤钢压杆经FRP加固后的等效单位长度分布质量和等效惯性矩,并基于Hamilton原理建立了多区域局部损伤钢压杆轴向周期荷载作用下的动力偏微分方程,求解得到了典型杆端约束下钢压杆主要共振频率、周期解所包围的动力不稳定区域等表征多区域局部损伤钢压杆动力稳定性能的各种参数,提出了FRP加固轴向周期荷载作用下多区域局部损伤钢压杆的设计方法。通过算例探讨了多区域局部损伤钢压杆发生参数振动时的动力稳定性,得到了局部损伤位置、损伤因子、FRP加固方式、恒载、FRP加固厚度、加固材料弹性模量等参数对钢压杆动力稳定性的影响规律。本文方法可以有效分析FRP加固多区域局部损伤钢压杆的动力稳定性,研究成果可为FRP加固局部损伤钢压杆的动力分析与工程设计提供参考。
In order to study the dynamic stability of steel compression members with multiple local damage by the fiber reinforced polymer strengthening,a dynamic stability analysis method depending on the damage factors of unit mass and bending stiffness is proposed. The contribution of multiple local damage and FRP materials are considered. According to the energy principle,the equivalent distribution quality of unit length and the equivalent inertia moment of the steel compression members after FRP reinforcement are derived. Based on the principle of Hamilton,the dynamic partial differential equation of the axial period of the steel compression members with multiple local damage is established. The main resonance frequency and periodic solution of the dynamic unstable region of the steel compression members with the constraints of the typical rod end are obtained. The design method of the steel compression members of the FRP reinforcement is proposed. The dynamic stability of the parameters of the steel bar with local damage is discussed by example. Influences of local damage location,damage factor,FRP strengthening mode,constant load,FRP thickness and the elastic modulus of the dynamic stability are gained. This method can be used to analyze the dynamic stability of steel compression members with multiple local damage by FRP strengthening effectively, and the research results can provide reference for the dynamic analysis and engineering design of steel compression members with local damage by FRP strengthening.
In order to study the dynamic stability of steel compression members with multiple local damage by the fiber reinforced polymer strengthening,a dynamic stability analysis method depending on the damage factors of unit mass and bending stiffness is proposed. The contribution of multiple local damage and FRP materials are considered. According to the energy principle,the equivalent distribution quality of unit length and the equivalent inertia moment of the steel compression members after FRP reinforcement are derived. Based on the principle of Hamilton,the dynamic partial differential equation of the axial period of the steel compression members with multiple local damage is established. The main resonance frequency and periodic solution of the dynamic unstable region of the steel compression members with the constraints of the typical rod end are obtained. The design method of the steel compression members of the FRP reinforcement is proposed. The dynamic stability of the parameters of the steel bar with local damage is discussed by example. Influences of local damage location,damage factor,FRP strengthening mode,constant load,FRP thickness and the elastic modulus of the dynamic stability are gained. This method can be used to analyze the dynamic stability of steel compression members with multiple local damage by FRP strengthening effectively, and the research results can provide reference for the dynamic analysis and engineering design of steel compression members with local damage by FRP strengthening.
引文
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[10]符·华·鲍洛金.弹性体系的动力稳定性[M].林砚田译.北京:高等教育出版社,1960
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[13]赵洪金,董宁娟,刘超,等.基于能量法的高温(火灾)环境下轴心受压格构柱动力稳定性分析[J].工程力学,2011,28(12):160-165
[2]吕海波,沙吾列提·拜开依,冯鹏,等.GFRP管抗屈曲加固角钢的力学性能试验研究[J].工程力学,2014,31(S):27-31
[3]Kabche J P,Caccese V,Berube K A,et al.Experimental characterization of hybrid composite-to-metal bolted joints under flexural loading[J].Composites Part B:Engineering,2007,38(1):66-78
[4]Feng P,Sawulet B,Zhang Y H,et al.Experimental study on buckling resistance of steel members strengthened using FRP[J].International Journal of Structural Stability and Dynamics,2012,12(1):153-178
[5]姜黎黎,李振国,杨刚.碳纤维增强钢构件的滞回性能分析[J].钢结构,2008,23(11):19-22
[6]钮鹏.碳纤维增强压弯钢构件稳定性研究[D].大连:大连海事大学,2011
[7]彭福明,郝际平,岳清瑞,等.FRP加固钢结构轴心受压构件的弹性稳定分析[J].钢结构,2005,20(3):18-21
[8]李斌,李传习,韦成龙.FRP加固局部损伤钢压杆的稳定分析[J].钢结构,2014,29(10):9-12
[9]李斌,罗华.李传习,等.FRP加固变截面局部损伤钢压杆的大挠度屈曲分析[J].建筑科学,2016,32(11):45-51
[10]符·华·鲍洛金.弹性体系的动力稳定性[M].林砚田译.北京:高等教育出版社,1960
[11]孙强.直杆的动力稳定性分析(I)[J].安徽建筑工业学院学报(自然科学版),1996,4(1):38-43
[12]孙强,那礼春.热-力耦合作用下钢柱的动力特性分析[J].中国科学技术大学学报,2009,39(6):644-648
[13]赵洪金,董宁娟,刘超,等.基于能量法的高温(火灾)环境下轴心受压格构柱动力稳定性分析[J].工程力学,2011,28(12):160-165