过渡支撑条件下扇环形板应力分析
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摘要
分别建立了仅有直边支撑和圆弧边支撑的扇环形板模型。运用ANSYS软件对扇形角为45°和60°时,不同支承竖板厚度的模型进行数值模拟。模拟结果表明,随着支撑竖板厚度的增加,扇环形板应力逐渐降低。相对圆弧边支撑,扇环形板角度对直边支撑的模型应力影响较大。当支撑竖板厚度超过某一数值时,扇环形板应力几乎不再随支撑竖板厚度的增大而减小,可认为进入固支状态。另一方面,当支撑竖板厚度小于某特定数值时,扇环形板应力达到最大值,进入简支状态。分析结果认为,随着支撑竖板厚度的增大,扇环形板依次处于简支、简支与固支之间的过渡支撑和固支状态。通过研究不同支撑竖板厚度时扇环形板的应力,可以为过渡支撑条件下扇环形板的设计提供合理的模型,所得应力分布情况可为不同扇形角条件下扇环形板的应力分析提供参考。
Models were established respectively for annular sector plates with straight support plate on the two straight edges and circular arc support plates on the two annular edges.By using finite element software ANSYS,simulations were conducted to the two support plate models with annular sector angles of 45°and 60°and different support plate thicknesses.The simulation results show that,the stresses of annular sector plates will be gradually reduced with the increase of the thicknesses of the support plates.By comparison with the models with circular arc support plates,the stresses of the annular sector plates were more sensitive to the model in which straight support plates were attached on.In the simulations,if the thicknesses of the support plates increased and got more than a certain value,the stresses on the annular sector will almost not change with the increase of the support plate thicknesses,and then the support state became clamped support.On the other hand,if the thicknesses got less than a certain value,the support state would be simple support.If the thicknesses of the support plates were between these two values,the support state was defined as transitional support,and studies would be helpful for the stress analysis for annular sector plates under transitional support and also be useful for the design of an annular sector plate in many industry fields.
Models were established respectively for annular sector plates with straight support plate on the two straight edges and circular arc support plates on the two annular edges.By using finite element software ANSYS,simulations were conducted to the two support plate models with annular sector angles of 45°and 60°and different support plate thicknesses.The simulation results show that,the stresses of annular sector plates will be gradually reduced with the increase of the thicknesses of the support plates.By comparison with the models with circular arc support plates,the stresses of the annular sector plates were more sensitive to the model in which straight support plates were attached on.In the simulations,if the thicknesses of the support plates increased and got more than a certain value,the stresses on the annular sector will almost not change with the increase of the support plate thicknesses,and then the support state became clamped support.On the other hand,if the thicknesses got less than a certain value,the support state would be simple support.If the thicknesses of the support plates were between these two values,the support state was defined as transitional support,and studies would be helpful for the stress analysis for annular sector plates under transitional support and also be useful for the design of an annular sector plate in many industry fields.
引文
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[16]钱民刚,严宗达.环形板的Fourier-Bessel级数解[J].北京建筑工程学院学报,1990(1):50-57.QIAN M G,YAN Z D.Solution of annular plate by Fourier-Bessel series[J].Journal of Beijing institute of civil engineering and architecture,1990(1):50-57.
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[20]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(4):131-136.ZHONG W X.A precise time-integration method for structure dynamics[J].Journal of Dalian university of technology,1994,34(4):131-136.
[2]宫继双,范育新,张靖周.扇环形截面管内爆震波特性研究[J].工程热物理学报,2010,31(6):1077-1079.GONG J S,FAN Y X,ZHANG J Z.Investigation of detonation wave in annular-sector tube[J].Journal of engineering thermophysics,2010,31(6):1077-1079.
[3]章本照,张金锁.扇环形截面弯曲管道内的粘性流动[J].空气动力学学报,2000,18(2):216-220.ZHANG B Z,ZHANG J S.Viscous flow in curved annular sector duct[J].Acta aerodynamica sinica,2000,18(2):216-220.
[4]石先杰,史冬岩,李文龙,等.任意边界条件下环扇形板的静动态特性分析[J].机械设计与制造,2013(12):181-184.SHI X J,SHI D Y,LI W L,et al.Static and dynamic characteristics analysis of annular sector plates with general boundary conditions[J].Machinery design&manufacture,2013(12):181-184.
[5]杜南麟,陈中灼,陈富彬.三门核电厂2号机组蒸汽发生器管板钻孔偏差原因分析及问题处理[J].核动力工程,2014,35(3):76-79.DU N L,CHEN Z Z,CHEN F B.Disposition of drilling deviation for steam generator tubesheet in Sanmen NPP unit 2[J].Nuclear power engineering,2014,35(3):76-79.
[6]许文镜,刘鸣宇,王小刚.百万千瓦级核电蒸汽发生器管子-管板焊接工艺研究[J].热加工工艺,2012,41(23):170-173.XU W J,LIU M Y,WANG X G,et al.Welding procedure for tube to tube sheet weld of million-kilowattclass nuclear power steam generator[J].Hot working technology,2012,41(23):170-173.
[7]李海龙,王庆,徐宇,等.蒸汽发生器管板孔桥超差情况下的结构安全性分析[J].原子能科学技术,2014,48(11):2028-2032.LI H J,WANG Q,XU Y,et al.Structural safety analysis on tube sheet with deviated holes in steam generator[J].Atomic energy science and technology,2014,48(11):2028-2032.
[8]倪鹏,惠虎,王晓东,等.蒸汽发生器管板液压胀管数值模拟研究[J].核动力工程,2015,36(5):204-207.NI P,HUI H,WANG X D,et al.Numerical simulation of hydraulically expanded tube-to-tubesheet joints in steam generator[J].Nuclear power engineering,2015,36(5):204-207.
[9]丘振生,黄腾飞,杨春乐.蒸汽发生器管子管板封口焊缝质量影响因素分析[J].焊接,2015(3):1-6.QIU Z S,HUANG T F,YANG C L.Analysis of influence factors on tube-to-tube sheet seal weld quality of steam generator[J].Welding&joining,2015(3):1-6.
[10]Chi Bum Bahn,Saurin Majumdar,Ken E Kasza,et al.Leak behavior of steam generator tube-to-tubesheet joints under creep condition:Experimental study[J].International journal of pressure vessels and piping,2013,101:55-63.
[11]Zhu L K,Qiao L J,Li X Y,et al.Analysis of the tubesheet cracking in slurry oil steam generators[J].Engineering failure analysis,2013(34):379-386.
[12]刘庆刚,王珺,郭彦书,等.扇环形半圆截面圆筒应力分布规律研究[J].河北科技大学学报,2014,35(4):370-375.LIU Q G,WANG J,GUO Y S,et al.Study of stress distribution principle of an annular sector semicircular cross section vessel[J].Journal of Hebei university of science and technology,2014,35(4):370-375.
[13]压力容器:GB 150.1~150.4—2011[S].Pressure vessel:GB 150.1~150.4—2011[S].
[14]ASME锅炉及压力容器规范:第VIII卷压力容器建造规则第一分册[S].ASME boiler and pressure vessel code:rules for construction of pressure vessels(VIII)Division 1[S].
[15]钱民刚,严宗达.扇形板的富里哀-贝塞尔级数解[J].应用数学和力学,1985,6(4):359-376.QIAN M G,YAN Z D.Solution of sector plate by Fourier-Bessel series[J].Applied mathematics and mechanics,1985,6(4):359-376.
[16]钱民刚,严宗达.环形板的Fourier-Bessel级数解[J].北京建筑工程学院学报,1990(1):50-57.QIAN M G,YAN Z D.Solution of annular plate by Fourier-Bessel series[J].Journal of Beijing institute of civil engineering and architecture,1990(1):50-57.
[17]Aghdam M M,Mohammadi M,Erfanian V.Bending analysis of thin annular sector plates using extended Kantorovich method[J].Thin-walled structures,2007,45(12):983-990.
[18]钱民刚,严宗达.沿直边简支的环扇形板的FourierBessel级数解[J].工程力学,1995,12(2):22-29.QIAN M G,YAN Z D.Solution of annular sector plate simply supported along radial edges by Fourier-Bessel series[J].Engineering mechanics,1995,12(2):22-29.
[19]陈聪,张领,卿光辉.周边固支环扇形板静力学问题的小波方法[J].中国民航大学学报,2009,27(1):60-64.CHEN C,ZHANG L,QING G H.Wavelet method of static solution for annular sector plate with four sides clamped[J].Journal of civil aviation university of China,2009,27(1):60-64.
[20]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(4):131-136.ZHONG W X.A precise time-integration method for structure dynamics[J].Journal of Dalian university of technology,1994,34(4):131-136.