)計(jì)算過程見表1.21。②校核計(jì)算精度根據(jù)拱頂部截面的相對(duì)轉(zhuǎn)角和相對(duì)水平為零進(jìn)行校核：即閉合差：即符合精度要求。

表1.21襯砌內(nèi)力計(jì)算表截面e積分系數(shù)0643.3266-418.6566224.6699774.8634303.43861078.30200.201429581.19060.000011554.1350-373.1690180.9660817.9495291.56201113.51150.162523830.13113572.305342281.1277-239.067846.0600937.9148272.34101210.25580.03816061.30953589.727723-91.1958-23.3148-118.51071110.9681234.98121341.9493-0.0880-15601.8277-20332.402244-487.2681251.0540-236.21421300.8814181.42211486.3035-0.1589-31101.3662-69864.937025-780.3064497.7295-282.57691469.7361131.76711601.5033-0.1760-37210.5434-125491.879846-873.1791578.3465-294.83271580.2018106.56231686.7641-0.1748-38824.4223-179509.334827-694.5685418.8944-271.67411607.2065113.37651720.5830-0.1602-36301.5636-215432.75724816.0316-7.70568.32591570.5919157.33451727.92640.00481096.38368753.59871∑-358198.5980-1913554.4251

繪制內(nèi)力圖圖1.7二次襯砌截面內(nèi)力圖1.3.4Ⅴ級(jí)圍巖襯砌ANSYS軟件驗(yàn)算采用ANSYS19.1軟件進(jìn)行驗(yàn)算，根據(jù)隧道二次襯砌內(nèi)輪廓圖建立模型ADDINEN.CITE<EndNote><Cite><Author>劉遠(yuǎn)明</Author><Year>2013</Year><RecNum>22</RecNum><DisplayText><styleface="superscript">[14]</style></DisplayText><record><rec-number>22</rec-number><foreign-keys><keyapp="EN"db-id="0x92zft2g5vprcep5a45f0scf592t500ae9w"timestamp="1621241046">22</key></foreign-keys><ref-typename="JournalArticle">17</ref-type><contributors><authors><author>劉遠(yuǎn)明</author><author>張森</author></authors></contributors><auth-address>貴州大學(xué)土木建筑工程學(xué)院;</auth-address><titles><title>基于ANSYS的公路隧道襯砌結(jié)構(gòu)安全分析</title><secondary-title>西部交通科技</secondary-title></titles><periodical><full-title>西部交通科技</full-title></periodical><pages>30-34+39</pages><number>04</number><keywords><keyword>公路隧道</keyword><keyword>圍巖</keyword><keyword>荷載結(jié)構(gòu)法</keyword><keyword>襯砌結(jié)構(gòu)</keyword><keyword>安全系數(shù)</keyword></keywords><dates><year>2013</year></dates><isbn>1673-4874</isbn><call-num>45-1339/U</call-num><urls></urls><remote-database-provider>Cnki</remote-database-provider></record></Cite></EndNote>[14]；內(nèi)力分析采用荷載結(jié)構(gòu)法計(jì)算，假定條件如下：①視為平面應(yīng)變問題進(jìn)行處理；②結(jié)構(gòu)屬于小變形；③彈簧單元只受壓不受拉。參數(shù)設(shè)定①單元類型ElementType拱形二次襯砌結(jié)構(gòu)選用Beam3的梁?jiǎn)卧愋?。②截面參?shù)Sections>Beam>CommonSections截面形狀Sub-Type：矩形；平移截面節(jié)點(diǎn)的位置OffsetTo至Centroid（質(zhì)心）；截面寬度B=1；截面高度H=0.45。③單元實(shí)常數(shù)RealConstants面積AREA=BH=0.45；慣性矩IZZ=BH3/12=0.00759375；高HEIGHT=H=0.45。④材料屬性MaterialProps>MaterialModels彈性模量EX=3e10；泊松比PRXY=0.2；密度DENS=2500。單元網(wǎng)格劃分拱部半圓弧段劃分為40段，邊墻每段劃分為8段，仰拱劃分為20段，共計(jì)76個(gè)單元，如圖1.8所示。圖1.8單元網(wǎng)格劃分施加徑向彈簧與約束對(duì)各節(jié)點(diǎn)施加徑向彈簧，并約束墻底的水平位移；為避免結(jié)構(gòu)沉降過大，對(duì)墻底施加豎直位移進(jìn)行約束，本模型選取節(jié)點(diǎn)26、40進(jìn)行約束。施加徑向彈簧及墻底節(jié)點(diǎn)約束后如圖1.9所示。圖1.9施加徑向彈簧與約束施加荷載對(duì)模型施加圍巖豎直荷載與水平荷載，慣性荷載（重力加速度）取9.8。施加荷載后如圖1.10所示。圖1.10施加荷載求解計(jì)算采用全牛頓—拉普森法分析求解，得變形圖（圖1.11），查看軸力表(表1.22)，通過生死單元法殺死全部受拉彈簧（軸力為正值受拉），并再次求解，反復(fù)上述操作直至所以彈簧單元均處于受壓狀態(tài)，得模型變形圖（圖1.12）；確定抗力范圍，處理最終數(shù)據(jù)，得最終計(jì)算內(nèi)力圖（圖1.13—1.15），單元內(nèi)力表（表1.23）。圖1.11變形圖表1.22彈簧單元軸力ELEMNIELEMNI770.23548E+0061150.24235E+00678-40298.31160.24021E+006790.23705E+0061170.23703E+006800.24026E+006118-0.10831E+006810.24242E+006119-46106.4820.24146E+006120-61046.4830.23631E+006121-84803.2840.22679E+0061220.0000850.21316E+006123-0.11282E+006860.19595E+006124-88658.7870.17575E+006125-41987.8880.15319E+0061260.0000890.12889E+006127-0.10879E+006900.10348E+006128-42157.89177639.2129-89033.69252127.3130-0.11331E+0069327871.4131-85184.3946052.0132-61323.595-11993.0133-46317.596-25133.2134-21176.797-33497.113556224.598-40489.513654751.599-33692.413735467.3100-25341.213817070.1101-12221.41394267.21025814.9140-4152.210327631.4141-10387.110451888.2142-15611.210577404.2143-19591.21060.10325E+006144-19592.51070.12867E+006145-15614.11080.15298E+006146-10394.71090.17556E+006147-4160.71100.19577E+0061484266.21110.21299E+00614917099.71120.22664E+00615035559.81130.23619E+00615154933.51140.24136E+00615256436.3圖1.12變形圖（彈簧均處受壓狀態(tài)時(shí)）圖1.13彎矩圖圖1.14軸力圖圖1.15剪力圖圖1.12所示，最大變形處位于拱頂位置處；圖1.13所示，最大正彎矩出現(xiàn)于約45°位置，最大負(fù)彎矩出現(xiàn)于拱頂處，彎矩關(guān)于中軸線基本呈軸對(duì)稱分布；圖1.14所示，拱墻及上部拱處軸力值為負(fù)，即均處于受壓狀態(tài)，軸力關(guān)于中軸線基本呈對(duì)稱分布；圖1.15所示，剪力在拱頂處基本值為零，剪力關(guān)于中軸線基本呈反對(duì)稱分布。表1.23各單元內(nèi)力STATCURRENTCURRENTCURRENTCURRENTCURRENTCURRENTELENNINJQIQJMIMJ1-0.25873E+007-0.25877E+007-8157.3-17754.5-0.65622E+006-0.64493E+0062-0.25200E+007-0.25211E+007-42211.4-51748.4-0.64493E+006-0.60401E+0063-0.24746E+007-0.24765E+007-83281.1-92700.4-0.60401E+006-0.52736E+0064-0.24519E+007-0.24545E+007-0.12665E+006-0.13590E+006-0.52736E+006-0.41301E+0065-0.24515E+007-0.24548E+007-0.16762E+006-0.17663E+006-0.41301E+006-0.26308E+0066-0.24723E+007-0.24763E+007-0.20158E+006-0.21030E+006-0.26308E+006-83691.77-0.25124E+007-0.25171E+007-0.22423E+006-0.23261E+006-83691.10.11528E+0068-0.25692E+007-0.25745E+007-0.23163E+006-0.23962E+0060.11528E+0060.32052E+0069-0.26395E+007-0.26454E+007-0.22037E+006-0.22791E+0060.32052E+0060.51576E+00610-0.27193E+007-0.27258E+007-0.18762E+006-0.19467E+0060.51576E+0060.68227E+00611-0.28044E+007-0.28115E+007-0.13127E+006-0.13779E+0060.68227E+0060.79945E+00612-0.28902E+007-0.28977E+007-49961.2-55910.30.79945E+0060.84556E+00613-0.29717E+007-0.29797E+00756852.151512.00.84556E+0060.79837E+00614-0.30441E+007-0.30525E+0070.18887E+0060.18417E+0060.79837E+0060.63589E+00615-0.31024E+007-0.31112E+0070.34496E+0060.34093E+0060.63589E+0060.33716E+00616-0.31420E+007-0.31510E+0070.52315E+0060.51982E+0060.33716E+006-0.11709E+00617-0.31586E+007-0.31678E+0070.72067E+0060.71806E+006-0.11709E+006-0.74371E+00618-0.31804E+007-0.31898E+007-82863.5-84744.8-0.74371E+006-0.67071E+00619-0.32328E+007-0.32423E+007-0.27934E+006-0.28047E+006-0.67071E+006-0.42689E+00620-0.32762E+007-0.32858E+007-0.18618E+006-0.18656E+006-0.42689E+006-0.26455E+00621-0.32924E+007-0.33004E+007-82959.7-82794.4-0.26455E+006-0.20471E+00622-0.33033E+007-0.33112E+007-79351.3-78848.4-0.20471E+006-0.14760E+00623-0.33161E+007-0.33240E+007-0.18706E+006-0.18622E+006-0.14760E+006-12836.24-0.33365E+007-0.33444E+007-0.45044E+006-0.44926E+006-12836.10.31197E+00625-0.34486E+007-0.34555E+007-0.47136E+006-0.46920E+0060.31197E+0060.61825E+00626-0.36779E+007-0.36839E+007-92158.5-88237.20.61825E+0060.67699E+00627-0.38734E+007-0.38781E+0070.48362E+0060.48901E+0060.67699E+0060.36028E+00628-0.38324E+007-0.38355E+0070.13289E+0070.13353E+0070.36028E+006-0.50727E+00629-0.17798E+006-0.18101E+006-0.11479E+006-0.10490E+006-0.50727E+006-0.40423E+00630-0.27184E+006-0.27456E+006-0.12304E+006-0.11307E+006-0.40423E+006-0.29348E+00631-0.36706E+006-0.36946E+006-0.12570E+006-0.11565E+006-0.29348E+006-0.18028E+00632-0.46329E+006-0.46537E+006-0.12266E+006-0.11253E+006-0.18028E+006-69969.533-0.56019E+006-0.56195E+006-0.11381E+006-0.10362E+006-69969.832016.434-0.65739E+006-0.65884E+006-99091.7-88851.732016.70.12017E+00635-0.75296E+006-0.75409E+00625978.436259.50.12017E+00690976.636-0.84651E+006-0.84732E+00647361.257671.590976.441712.737-0.94013E+006-0.94062E+00629432.139763.041712.09257.4438-0.10344E+007-0.10345E+0075450.415791.49257.4-701.7639-0.10345E+007-0.10343E+007-15791.5-5453.7-701.769260.540-0.94057E+006-0.94008E+006-39768.4-29437.59260.541720.741-0.84725E+006-0.84644E+006-57679.0-47368.541720.290990.142-0.75402E+006-0.75289E+006-36262.1-25982.490990.70.12019E+00643-0.65882E+006-0.65737E+00688861.199101.40.12019E+00632020.544-0.56193E+006-0.56016E+0060.10364E+0060.11383E+00632020.2-69976.545-0.46535E+006-0.46327E+0060.11254E+0060.12267E+006-69976.7-0.18030E+00646-0.36944E+006-0.36703E+0060.11566E+0060.12572E+006-0.18030E+006-0.29351E+00647-0.27453E+006-0.27182E+0060.11308E+0060.12306E+006-0.29351E+006-0.40427E+00648-0.18098E+006-0.17796E+0060.10492E+0060.11481E+006-0.40427E+006-0.50732E+00649-0.38354E+007-0.38323E+007-0.13355E+007-0.13290E+007-0.50732E+0060.36030E+00650-0.38781E+007-0.38733E+007-0.48907E+006-0.48367E+0060.36030E+0060.67705E+00651-0.36837E+007-0.36777E+00788248.492169.70.67705E+0060.61830E+00652-0.34552E+007-0.34484E+0070.46922E+0060.47138E+0060.61830E+0060.31201E+00653-0.33441E+007-0.33362E+0070.44927E+0060.45044E+0060.31201E+006-12798.854-0.33236E+007-0.33157E+0070.18622E+0060.18706E+006-12798.7-0.14756E+00655-0.33108E+007-0.33029E+00778844.579347.4-0.14756E+006-0.20467E+00656-0.33000E+007-0.32920E+00782791.382960.0-0.20467E+006-0.26451E+00657-0.32854E+007-0.32758E+0070.18659E+0060.18620E+006-0.26451E+006-0.42687E+00658-0.32419E+007-0.32324E+0070.28050E+0060.27936E+006-0.42687E+006-0.67071E+00659-0.31895E+007-0.31801E+00784766.482881.5-0.67071E+006-0.74373E+00660-0.31678E+007-0.31586E+007-0.71806E+006-0.72067E+006-0.74373E+006-0.11711E+00661-0.31510E+007-0.31420E+007-0.51982E+006-0.52315E+006-0.11711E+0060.33714E+00662-0.31112E+007-0.31024E+007-0.34094E+006-0.34496E+0060.33714E+0060.63587E+00663-0.30525E+007-0.30441E+007-0.18418E+006-0.18887E+0060.63587E+0060.79835E+00664-0.29797E+007-0.29717E+007-51513.4-56853.50.79835E+0060.84554E+00665-0.28977E+007-0.28902E+00755909.8749959.00.84554E+0060.79943E+00666-0.28115E+007-0.28044E+0070.13779E+0060.13127E+0060.79943E+0060.68225E+00667-0.27258E+007-0.27193E+0070.19467E+0060.18762E+0060.68225E+0060.51575E+00668-0.26454E+007-0.26395E+0070.22791E+0060.22036E+0060.51575E+0060.32051E+00669-0.25745E+007-0.25692E+0070.23