拱桥有限元报告

一．模型简单介绍1.建模软件：SAP20002.主拱单元：框架单元（梁单元）3.拱上立柱单元：框架单元（梁单元）4.桥面系：桥面系的建模有两种方式，梁格模型和梁板模型。梁格模型中纵梁用于模拟桥面系纵向刚度，横梁用于模拟桥面系横向刚度，因为本桥例为叠合梁，故建模时纵梁截面可取工字钢与桥面板形成的组合截面，横梁截面与实际横梁截面相同；梁板模型中采用板单元模拟真实桥面板，梁单元模拟纵横梁，截面与真实纵横梁相同，板单元与梁单元之间通过Body方式连接在一起。5.吊杆：框架单元，释放i，j端弯矩以及j端扭矩以模拟吊杆两端的铰接作用，并通过框架单元p-△作用向吊杆施加成桥索力，除此之外，建模时应注意吊杆位置与主拱杆件不能重合，否则将影响纵飘振型的出现。6.拱上立柱与主梁间支座：支座通过连接单元模拟，其约束情况与真实情况相同。7.拱脚及过渡墩底：均不考虑桩-土相互作用，采用固结约束方式。二．建模步骤2.1材料特性输入过渡墩材料为混凝土，主拱及拱上结构材料为钢材，吊杆材料为钢绞线，如下图输入材料特性。图2.1材料特性输入(a)图2.2材料特性输入(b)图2.3材料特性输入(c)2.2拱肋建模2.2.1截面特性计算及输入采用交互式编辑或表格输入的方法输入截面特性，拱肋杆件截面特性计算如下。(1)拱肋弦杆及腹杆图2.4主桁弦杆及腹杆截面示意图表2.1主桁弦杆及腹杆截面几何特性表编号GLXG-1GLXG-2GLXG-3GLXG-4GLXG-5GLXG-6GLXG-7GLXG-8GLFG-11GLFG-14GLFG-12GLFG-13GLFG-15GLFG-17GLFG-16截面箱型箱型箱型箱型箱型箱型箱型箱型箱型箱型工字型工字型工字型工字型工字型A(m2)0.3900.3270.2980.2980.4200.4480.5280.2140.1640.1710.0640.0660.0730.0700.078Ixx(m4)0.1870.1620.1460.1210.2040.2210.2620.1060.0300.0420.0270.0290.0310.0290.032Iyy(m4)0.1560.1350.1210.1010.1700.1840.2000.0880.0580.0620.0010.0020.0020.0020.002Ixy(m4)0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000J(m4)0.1950.1760.1560.1370.2150.2340.2730.1170.0520.0690.0000.0000.0000.0000.000Cx(+)(m)0.8200.8180.8160.8140.8220.8240.8280.8120.8120.8120.3500.3500.3500.3500.350Cx(-)(m)0.8200.8180.8160.8140.8220.8240.8280.8120.8120.8120.3500.3500.3500.3500.350Cy(+)(m)0.9200.9180.9160.9140.9220.9240.9280.9120.5140.6140.8120.8130.8140.8130.814Cy(-)(m)0.9200.9180.9160.9140.9220.9240.9280.9120.5140.6140.8120.8130.0000.8140.813注：GLXG-1~GLXG-8为主桁弦杆箱型截面；GLFG-11为主桁拱脚处腹杆箱型截面；GLFG-14为主桁拱顶处腹杆箱型截面；GLFG-12、13、15、16、17为主桁腹杆工字型截面。(2)拱肋平联杆件图2.5拱肋上平联布置示意图图2.6拱肋下平联布置示意图图2.7拱肋上下平联截面表2.2拱肋平联杆件截面几何特性表编号LJCG-1LJCG-2LJCG-3LJCG-4LJCG-7LJCG-5LJCG-6LJXG-1LJXG-2LJXG-3A(m2)0.0590.0560.0500.0470.0370.0320.1760.0580.0430.037Ixx(m4)0.0040.0030.0030.0030.0020.0020.0960.0040.0030.002Iyy(m4)0.0060.0040.0040.0030.0020.0010.0490.0040.0030.002Ixy(m4)0.0000.0000.0000.0000.0000.0000.0160.0000.0000.000J(m4)0.0060.0050.0050.0040.0030.0000.0810.0050.0040.003Cx(+)(m)0.4400.3900.3900.3300.3300.3000.7350.3300.3300.330Cx(-)(m)0.4400.3900.3900.3300.3300.3000.5670.3300.3300.330Cy(+)(m)0.3000.2900.2890.2900.2880.2900.9710.3130.3100.288Cy(-)(m)0.3000.2900.2890.2900.2880.2901.2940.3130.3100.288注：LJCG-1——LJCG-7为拱肋平联横撑杆；LJXG-1、2、3为拱肋平联斜撑杆。(3)拱肋平联间竖杆图2.8拱肋平联间杆件示意图表2.2拱肋平联间杆件截面几何特性表编号LJJG-1LJJG-2LJJG-3LJJG-4LJJG-5LJJG-6LJJG-7LJJG-8A(m2)0.03580.03070.02740.02590.02270.02110.12380.0259Ixx(m4)0.00180.00150.00140.00130.00110.00100.02330.0012Iyy(m4)0.00110.00070.00060.00050.00030.00030.02640.0004Ixy(m4)0.00000.00000.00000.00000.00000.00000.00000.0000J(m4)0.00000.00000.00000.00000.00000.00000.03410.0000Cx(+)(m)0.33000.30000.30000.28000.25000.24000.60000.2400Cx(-)(m)0.33000.30000.30000.28000.25000.24000.60000.2400Cy(+)(m)0.25100.25000.24900.24900.24800.24800.55200.2500Cy(-)(m)0.25100.25000.24900.24900.24800.24800.55200.2500注：LJJG-1——LJCG-7为拱肋平联横撑杆；LJXG-1、2、3为拱肋平联斜撑杆。2.2.2拱肋节点建模采用交互式编辑方法或表格输入的方法进行节点建模。以高程为0处记做Z=0，左拱脚处记做y=0，两幅拱肋中点处记做x=0，原点设置如图2.6所示。表2.4为拱肋节点编号及坐标。表2.3拱肋节点编号及坐标表格TABLE:JointCoordinatesJointCoordSysCoordTypeXorRYZSpecialJtGlobalXGlobalYGlobalZGUIDTextTextTextmmmYes/NommmTextA0GLOBALCartesian2.4-12.7219.6Yes2.4-12.7219.6A1GLOBALCartesian7.0-12.7224.6Yes7.0-12.7224.6A2GLOBALCartesian15.0-12.7233.0Yes15.0-12.7233.0A3GLOBALCartesian26.8-12.7244.8Yes26.8-12.7244.8A4GLOBALCartesian38.6-12.7255.8Yes38.6-12.7255.8A5GLOBALCartesian50.4-12.7266.1Yes50.4-12.7266.1A6GLOBALCartesian62.2-12.7275.6Yes62.2-12.7275.6A7GLOBALCartesian74.0-12.7284.4Yes74.0-12.7284.4A8GLOBALCartesian85.8-12.7292.6Yes85.8-12.7292.6A9GLOBALCartesian97.6-12.7300.1Yes97.6-12.7300.1A10GLOBALCartesian109.6-12.7307.1Yes109.6-12.7307.1A11GLOBALCartesian121.6-12.7313.5Yes121.6-12.7313.5A12GLOBALCartesian133.6-12.7319.3Yes133.6-12.7319.3A13GLOBALCartesian145.6-12.7324.5Yes145.6-12.7324.5A14GLOBALCartesian157.6-12.7329.2Yes157.6-12.7329.2A15GLOBALCartesian169.6-12.7333.4Yes169.6-12.7333.4A16GLOBALCartesian181.6-12.7337.0Yes181.6-12.7337.0A17GLOBALCartesian193.6-12.7340.1Yes193.6-12.7340.1A18GLOBALCartesian205.6-12.7342.8Yes205.6-12.7342.8A19GLOBALCartesian217.6-12.7344.9Yes217.6-12.7344.9A20GLOBALCartesian229.6-12.7346.6Yes229.6-12.7346.6A21GLOBALCartesian241.6-12.7347.8Yes241.6-12.7347.8A22GLOBALCartesian253.6-12.7348.5Yes253.6-12.7348.5A23GLOBALCartesian265.6-12.7348.7Yes265.6-12.7348.7A22'GLOBALCartesian277.6-12.7348.5Yes277.6-12.7348.5A21'GLOBALCartesian289.6-12.7347.8Yes289.6-12.7347.8A20'GLOBALCartesian301.6-12.7346.6Yes301.6-12.7346.6A19'GLOBALCartesian313.6-12.7344.9Yes313.6-12.7344.9A18'GLOBALCartesian325.6-12.7342.8Yes325.6-12.7342.8A17'GLOBALCartesian337.6-12.7340.1Yes337.6-12.7340.1A16'GLOBALCartesian349.6-12.7337.0Yes349.6-12.7337.0A15'GLOBALCartesian361.6-12.7333.4Yes361.6-12.7333.4A14'GLOBALCartesian373.6-12.7329.2Yes373.6-12.7329.2A13'GLOBALCartesian385.6-12.7324.5Yes385.6-12.7324.5A12'GLOBALCartesian397.6-12.7319.3Yes397.6-12.7319.3A11'GLOBALCartesian409.6-12.7313.5Yes409.6-12.7313.5A10'GLOBALCartesian421.6-12.7307.1Yes421.6-12.7307.1A9'GLOBALCartesian433.6-12.7300.1Yes4