埋管失稳分析的阿姆斯图兹法影响因素及应用条件
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摘要
为给出埋藏式压力管道抗外压稳定分析的阿姆斯图兹法(简记阿氏法)使用建议,剖析了其临界外压计算的影响因素和应用条件。统计了阿氏法主要影响因素,即埋管径厚比、缝隙率和屈服强度的国内工程实例的数据,进而研究了这3种影响因素在工程实例范围内对阿氏法临界外压计算值的影响规律。对比了阿氏法简化公式与原公式的计算精度,结合强度破坏模式开展了阿氏法应用条件研究,给出了基于管道径厚比数值的阿氏法选用建议,并用试验数据进行了验证分析。研究表明:径厚比小于35时,需同时考虑抗外压稳定和抗外压强度校核,抗外压稳定的临界外压宜采用阿氏法原公式分析;径厚比在35～60之间时,建议采用阿氏法原公式以保证计算精度;径厚比大于60时,可采用阿氏简化公式提高计算效率。
To give reasonable application recommendations of Amustutz' s method( AM) in buckling analysis for embeded pipe,the influential factors and application conditions in evaluation of critical external pressure were illuminated. Statistics on the domestic and abroad engineering sectors of AM's main influential factors,i.e. radius-thickness ratio,gap ratio and yield strength of tunnel linings were collected. The influences of the three factors on AM's results were clarified in practical cases. The calculation accuracy of AM's simplified formulas was compared with that of original formulas,and application conditions were analyzed considering strength failure mode. The application recommendations of AM were given in term of radius-thickness ratio and verified by experiment. It can be concluded that the performance against buckling and anti-external pressure strength should be checked when the radius-thickness ratio is less than 35,and the AM's original formulas are suggested in the buckling check. The AM's original formulas are also suggested for ensuring the calculation accuracy when the radius-thickness ratio is 35 to 60,and the AM's simplified formulas are suggested when the radius-thickness ratio is larger than 60.
To give reasonable application recommendations of Amustutz' s method( AM) in buckling analysis for embeded pipe,the influential factors and application conditions in evaluation of critical external pressure were illuminated. Statistics on the domestic and abroad engineering sectors of AM's main influential factors,i.e. radius-thickness ratio,gap ratio and yield strength of tunnel linings were collected. The influences of the three factors on AM's results were clarified in practical cases. The calculation accuracy of AM's simplified formulas was compared with that of original formulas,and application conditions were analyzed considering strength failure mode. The application recommendations of AM were given in term of radius-thickness ratio and verified by experiment. It can be concluded that the performance against buckling and anti-external pressure strength should be checked when the radius-thickness ratio is less than 35,and the AM's original formulas are suggested in the buckling check. The AM's original formulas are also suggested for ensuring the calculation accuracy when the radius-thickness ratio is 35 to 60,and the AM's simplified formulas are suggested when the radius-thickness ratio is larger than 60.
引文
[1] Wang J H,Koizumi A. Experimental investigation of buckling collapse of encased liners subjected to external water pressure[J]. Engineer Structures,2017(151):44-56.
[2]伍鹤皋,周彩荣,付山,等.埋藏式压力钢管加劲环抗外压稳定分析方法探讨[J].水力发电学报,2015,34(12):19-23.
[3] Amstutz E.Buckling of pressure-shaft and tunnel linings[J]. Water Power,1970,22(11):391-400.
[4] ASCE 79-2012. ASCE manuals and reports on engineering practice No.79“Steel penstocks(second edition)”[S]. Virginia:American Society of Civil Engineers,2012.
[5] NB/T35056-2015水电站压力钢管设计规范[S].北京:中国电力出版社,2015.
[6] Technical Standards for Gates and Penstocks(2007 Edition)[S].Tokyo:Technical Committee of Hydraulic Gate and Penstock Association of Japanese,2007.
[7] ATV-M 127-2.Structural Analysis for Rehabilitation of Sewers and Pipelines by Lining and Reassembling Methods[S]. Hennef:German Water Association,2000.
[8]张伟,刘林林,陈玮,等.埋藏光面管抗外压稳定分析的阿姆斯图兹法及其应用研究[J].广西大学学报:自然科学版,2017,42(4):1561-1571.
[9] Khaled M El-Sawy,Amr M I Sweedan. Elastic stability analysis of loosely fitted thin liners-A proposed simplified procedure and evaluation of existing solutions[J].Tunneling and Underground Space Technology,2010,25:689-701.
[10] Daniel Vasilikis,Spyros A. Karamanos. Stability of confined thinwalled steel cylinders under external pressure[J].International Journal of Mechanical Sciences,2009(51):21-32.
[11] Valdeolivas J L G,Mosquera J C.Three-Dimensional FEM Parametric Analysis of Stiffened Steel Liners in Hydroelectric Pressure Tunnels[J].Journal of Pipeline Systems Engineering and Practice,2016,7(1):04015019.
[12]马文亮,刘东常,刘桂芳,等.考虑初始缝隙因素作用钢管抗外压稳定计算的一种半解析有限元法[J].华北水利水电学院学报,2005,26(1):31-34.
[13]张伟,杨江琪,李伟.考虑初始缝隙的埋藏式光面管临界外压经验公式[J].人民长江,2016,47(14):60-63.
[14]陈希,郑津洋,缪存坚,等.应变强化后容器的外压屈曲分析[J].压力容器,2015,32(8):14-20,6.
[15]刘启钊,谈为雄,刘焕兴,等.埋藏式钢管外压稳定计算[J].水利水电技术,1980,11(2):29-39.
[16] Svoisky F M,Freishist A R.External pressure analysis for embedded steel penstocks[J]. Water Power&Dam Construction,1992,44(1):37-43.
[17] Khaled M El-Sawy.Inelastic stability of liners of cylindrical conduits with local imperfection under external pressure[J]. Tunneling and Underground Space Technology,2013,33:98-110.
[18] SL 281-2003水电站压力钢管设计规范[S].北京:中国水利水电出版社,2003.
[2]伍鹤皋,周彩荣,付山,等.埋藏式压力钢管加劲环抗外压稳定分析方法探讨[J].水力发电学报,2015,34(12):19-23.
[3] Amstutz E.Buckling of pressure-shaft and tunnel linings[J]. Water Power,1970,22(11):391-400.
[4] ASCE 79-2012. ASCE manuals and reports on engineering practice No.79“Steel penstocks(second edition)”[S]. Virginia:American Society of Civil Engineers,2012.
[5] NB/T35056-2015水电站压力钢管设计规范[S].北京:中国电力出版社,2015.
[6] Technical Standards for Gates and Penstocks(2007 Edition)[S].Tokyo:Technical Committee of Hydraulic Gate and Penstock Association of Japanese,2007.
[7] ATV-M 127-2.Structural Analysis for Rehabilitation of Sewers and Pipelines by Lining and Reassembling Methods[S]. Hennef:German Water Association,2000.
[8]张伟,刘林林,陈玮,等.埋藏光面管抗外压稳定分析的阿姆斯图兹法及其应用研究[J].广西大学学报:自然科学版,2017,42(4):1561-1571.
[9] Khaled M El-Sawy,Amr M I Sweedan. Elastic stability analysis of loosely fitted thin liners-A proposed simplified procedure and evaluation of existing solutions[J].Tunneling and Underground Space Technology,2010,25:689-701.
[10] Daniel Vasilikis,Spyros A. Karamanos. Stability of confined thinwalled steel cylinders under external pressure[J].International Journal of Mechanical Sciences,2009(51):21-32.
[11] Valdeolivas J L G,Mosquera J C.Three-Dimensional FEM Parametric Analysis of Stiffened Steel Liners in Hydroelectric Pressure Tunnels[J].Journal of Pipeline Systems Engineering and Practice,2016,7(1):04015019.
[12]马文亮,刘东常,刘桂芳,等.考虑初始缝隙因素作用钢管抗外压稳定计算的一种半解析有限元法[J].华北水利水电学院学报,2005,26(1):31-34.
[13]张伟,杨江琪,李伟.考虑初始缝隙的埋藏式光面管临界外压经验公式[J].人民长江,2016,47(14):60-63.
[14]陈希,郑津洋,缪存坚,等.应变强化后容器的外压屈曲分析[J].压力容器,2015,32(8):14-20,6.
[15]刘启钊,谈为雄,刘焕兴,等.埋藏式钢管外压稳定计算[J].水利水电技术,1980,11(2):29-39.
[16] Svoisky F M,Freishist A R.External pressure analysis for embedded steel penstocks[J]. Water Power&Dam Construction,1992,44(1):37-43.
[17] Khaled M El-Sawy.Inelastic stability of liners of cylindrical conduits with local imperfection under external pressure[J]. Tunneling and Underground Space Technology,2013,33:98-110.
[18] SL 281-2003水电站压力钢管设计规范[S].北京:中国水利水电出版社,2003.