卧式埋地储罐稳定性研究
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摘要
埋地卧式储罐受力条件复杂,其应力和变形较难计算。根据储罐实际受力特点,建立储罐稳定性的有限元计算模型。采用非线性径向力和切向力描述给定埋深储罐的覆土压力,利用ANSYS软件对储罐模型进行屈曲分析。将屈曲特征值作为储罐埋深迭代系数,计算新的储罐埋深,重新进行屈曲分析。结果表明:新储罐失稳临界埋深计算方法可用于对储罐模型进行屈曲分析,多次迭代后屈曲特征值接近1,此时对应的埋深即储罐失稳临界埋深。在储罐结构上设置加强圈可大幅提升埋地储罐的稳定性,为储罐埋深设计提供充足的安全裕量。
The loading conditions are very complex for the buried horizontal storage tank,and therefore it is difficult to calculate its stress and deformation accurately. Based on the real loads of the pressure vessel,the finite element model on the stability of the tank was built. Non-linear radial and tangential forces were adopted to describe the casing pressure of the tank with a given depth,and buckling analysis of the tank model was carried out by the ANSYS software. The eigen values obtained by the buckling analysis were used as iteration parameters to calculate the new buried depth of the tank,and the new buckling analysis is made with the updated data. The result shows that the calculation method of the critical buried depth on the instability of the tank can be used to perform the analysis of tank buckling. The eigen value from series of buckling analysis comes close to the value of one,and in this case the corresponding buried depth is just the critical in stability value. It indicates that adding a strengthening ring can enhance the stability of the buried tank,which can provide enough safety margin for the design of tanks with a big buried depth.
The loading conditions are very complex for the buried horizontal storage tank,and therefore it is difficult to calculate its stress and deformation accurately. Based on the real loads of the pressure vessel,the finite element model on the stability of the tank was built. Non-linear radial and tangential forces were adopted to describe the casing pressure of the tank with a given depth,and buckling analysis of the tank model was carried out by the ANSYS software. The eigen values obtained by the buckling analysis were used as iteration parameters to calculate the new buried depth of the tank,and the new buckling analysis is made with the updated data. The result shows that the calculation method of the critical buried depth on the instability of the tank can be used to perform the analysis of tank buckling. The eigen value from series of buckling analysis comes close to the value of one,and in this case the corresponding buried depth is just the critical in stability value. It indicates that adding a strengthening ring can enhance the stability of the buried tank,which can provide enough safety margin for the design of tanks with a big buried depth.
引文
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[19] ZHENG X Y,WANG M. Stability analysis of a multiholes shell under axial compression[J]. International Journal of Plant Engineering and Management,2009,14(2):113-117.
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[22] COMBESCURE A,GUSIC G. Nonlinear bucking of cylinders under external pressure with nonaxisymmetric thickness imperfections using the COMI axisymmetric shell element[J]. International Journal of Solids and Structures,2001,38:6207-6226.
[23] YANG Licai,CHEN Zhiping,CHEN Fucai,et al. Buckling of cylindrical shells with general axisymmetric thickness imperfections under external pressure[J]. European Journal of Mechanics A/Solids,2013,38:90-99.
[24] DUNG D V,HOA L K. Nonlinear buckling and postbuckling analysis of eccentrically stiffened functionally graded circular cylindrical shells under external pressure[J].Thin-Walled Structures,2013,63:117-124.
[25] NAJAFIZADEB M M,HASANI A,KHAZAEINEJAD P. Mechanical stability of functionally graded stiffened cylindrical shells[J]. Applied Mathematical Modelling,2009,33(2):1151-1157.
[26] SHEN H S. Buckling and postbuckling of laminated thin cylindrical shells under hygrothermal environments[J].Applied Mathematics and Mechanics,2001,22(3):270-281.
[27] ZHOU C T,WANG L D. Nonlinear theory of dynamic stability for laminated composite cylindrical shells[J].Applied Mathematics and Mechanics,2001,22(1):53-62.
[28]谭福颖,乔玲,韩晓林.基于广义梁理论的薄壁圆柱壳稳定性分析[J].东南大学学报(自然科学),2013,43(5):1062-1067.TAN Fuying,QIAO Ling,HAN Xiaolin. Stability analysis of thin-walled cylindrical shells based on generalized beam theory[J].Journal of Southeast University(Natural Science),2013,43(5):1062-1067.
[29] SILVESTRE N. Generalised beam theory to analyze the buckling behavior of circular cylindrical shells and tubes[J].Thin-Walled Structures,2007,45(2):185-198.
[30]董文胜,邓子辰,刘东常,等.基于遗传-神经算法的圆柱壳结构外压稳定性研究[J].西北工业大学学报,2006,24(1):119-123.DONG Wensheng,DENG Zichen,LIU Dongchang,et al. Based on genetic research outside of cylindrical shells nerve compression algorithm stability[J]. Northwestern Polytechnical University,2006,24(1):119-123.
[31]李玉坤,孙文红,段冠,等.基于弹性分析法的大型储罐罐壁应力计算[J].中国石油大学学报(自然科学版),2012,36(3):159-163.LI Yukun,SUN Wenhong,DUAN Guan,et al. Stress calculation for shells of large storage oil tank based on elastic analysis method[J]. Journal of China University of Petroleum(Edition of Natural Science),2012,36(3):159-163.
[32]宋吉胜.地埋式油罐的设计[J].石油工程建设,2002,28(3):4-7.SONG Jisheng. Design of buried oil tank[J]. Petroleum Engineering Construction,2002,28(3):4-7.
[33]王立平.卧式埋地油罐设计[J].油气田地面工程,2007,26(6):40-41.WANG Liping. Design of horizontal buried tank[J].OilGas Field Surface Engineering,2007,26(6):40-41.
[34] SHMULEVICH I,GALILI N,FOUX A. Soil stress distribution around buried pipes[J]. Journal of Transportation Engineering,ASCE,1985,112(5):481-494.
[2] MAGNUCKI K,STASIEWICZ P. Critical sizes of ground and underground horizontal cylindrical tanks[J]. ThinWalled Structures,2003,41:317-327.
[3] STASIEWICZ P. Study and materials[C].Zielona Gora:Pedagogical University,1999.
[4] MAGNUCKI K. Optimal design of cylindrical vessels under strength and stability constraints:proceedings 9th Int Conference on Pressure Vessel Technology[C]. Sydney:2000.
[5] PAPADAKIS G. Buckling of thick cylindrical shells under external pressure:a new analytical expression for the critical load and comparison with elasticity solutions[J]. International Journal of Solids and Structures,2008,45:5308-5321.
[6] TIMOSHENKO S P,GERE J M. Theory of elastic stability[M]. New York:McGraw-Hill Book Company,1961.
[7] KARDOMATEAS G A. Buckling of thick orthotropic cylindrical shells under external pressure[J].Journal of Applied Mechanics-Transactions of ASME,1993,60:195-202.
[8] FU L,WAAS A M. Initial post-buckling behavior of thick rings under uniform external hydrostatic pressure[J]. Journal of Applied Mechanics-Transactions of ASME,1995,62:338-345.
[9] TAKANO A. Improvement of Flügge's equations for buckling of moderately thick anisotropic cylindrical shells[J].AIAA Journal,2008,46(4):903-911.
[10] REDDY J N,LIU C F. A higher-order shear deformation theory of laminated elastic shells[J]. International Journal of Engineering Science,1985,23(3):319-330.
[11] SIMITSES G J,ANASTASIADIS J S. Shear deformable theories for cylindrical laminates-equilibrium and buckling with applications[J]. AIAA Journal,1992,30(3):826-834.
[12] SHEN H S. Postbuckling of shear deformable cross-ply laminated cylindrical shells under combined external pressure and axial compression[J]. International Journal of Mechanical Sciences,2001,43:2493-2523.
[13] SHARIAT B A S,ESLAMI M R. Buckling of thick functionally graded plates under mechanical and thermal loads[J]. Composite Structures,2007,78:433-439.
[14] ANASTASIADIS J S,SIMITSES G J. Buckling of pressure-loaded,long,shear deformable,cylindrical laminated shells[J]. Composite Structures,1993,23:221-231.
[15] SIMITSES G J,TABIEI A,ANASTASIADIS J S. Buckling of moderately thick,laminated cylindrical shells under lateral pressure[J].Composites Engineering,1993,3(5):409-417.
[16]任宪骏,张兰春.轴压下大型薄壁圆柱壳的稳定性研究[J].武汉大学学报(工学版),2010,43(4):507-510.REN Xianjun,ZHANG Lanchun. Study of stability of large-scale thin-walled cylindrical shells under axial compression[J]. Engineering Journal of Wuhan University,2010,43(4):507-510.
[17]龙连春,赵斌,陈兴华.薄壁加筋圆柱壳稳定性分析及优化[J].北京工业大学学报,2012,38(7):997-1003.LONG Lianchun,ZHAO Bin,CHEN Xinghua. Buckling analysis and optimization of thin-walled stiffened cylindrical shell[J]. Journal of Beijing University of Technology,2012,38(7):997-1003.
[18] SADEGHIFAR M,BAGHERI M,JAFARI A A. Multiobjective optimization of orthogonally stiffened cylindrical shells for minimum weight and maximum axial buckling load[J]. Thin Walled Structures,2010,48(12):979-988.
[19] ZHENG X Y,WANG M. Stability analysis of a multiholes shell under axial compression[J]. International Journal of Plant Engineering and Management,2009,14(2):113-117.
[20] AGHAJARI S,ABEDI K,SHOWKATI H. Buckling and post-buckling behavior of thin-walled cylindrical steel shells with varying thickness subjected to uniform external pressure[J]. Thin-Walled Structures,2006,44:904-909.
[21] NGUYEN H L T,ELISHAKOFF I,NGUYEN V T.Buckling under the external pressure of cylindrical shells with variable thickness[J]. International Journal of Solids and Structures,2009,46:4163-4168.
[22] COMBESCURE A,GUSIC G. Nonlinear bucking of cylinders under external pressure with nonaxisymmetric thickness imperfections using the COMI axisymmetric shell element[J]. International Journal of Solids and Structures,2001,38:6207-6226.
[23] YANG Licai,CHEN Zhiping,CHEN Fucai,et al. Buckling of cylindrical shells with general axisymmetric thickness imperfections under external pressure[J]. European Journal of Mechanics A/Solids,2013,38:90-99.
[24] DUNG D V,HOA L K. Nonlinear buckling and postbuckling analysis of eccentrically stiffened functionally graded circular cylindrical shells under external pressure[J].Thin-Walled Structures,2013,63:117-124.
[25] NAJAFIZADEB M M,HASANI A,KHAZAEINEJAD P. Mechanical stability of functionally graded stiffened cylindrical shells[J]. Applied Mathematical Modelling,2009,33(2):1151-1157.
[26] SHEN H S. Buckling and postbuckling of laminated thin cylindrical shells under hygrothermal environments[J].Applied Mathematics and Mechanics,2001,22(3):270-281.
[27] ZHOU C T,WANG L D. Nonlinear theory of dynamic stability for laminated composite cylindrical shells[J].Applied Mathematics and Mechanics,2001,22(1):53-62.
[28]谭福颖,乔玲,韩晓林.基于广义梁理论的薄壁圆柱壳稳定性分析[J].东南大学学报(自然科学),2013,43(5):1062-1067.TAN Fuying,QIAO Ling,HAN Xiaolin. Stability analysis of thin-walled cylindrical shells based on generalized beam theory[J].Journal of Southeast University(Natural Science),2013,43(5):1062-1067.
[29] SILVESTRE N. Generalised beam theory to analyze the buckling behavior of circular cylindrical shells and tubes[J].Thin-Walled Structures,2007,45(2):185-198.
[30]董文胜,邓子辰,刘东常,等.基于遗传-神经算法的圆柱壳结构外压稳定性研究[J].西北工业大学学报,2006,24(1):119-123.DONG Wensheng,DENG Zichen,LIU Dongchang,et al. Based on genetic research outside of cylindrical shells nerve compression algorithm stability[J]. Northwestern Polytechnical University,2006,24(1):119-123.
[31]李玉坤,孙文红,段冠,等.基于弹性分析法的大型储罐罐壁应力计算[J].中国石油大学学报(自然科学版),2012,36(3):159-163.LI Yukun,SUN Wenhong,DUAN Guan,et al. Stress calculation for shells of large storage oil tank based on elastic analysis method[J]. Journal of China University of Petroleum(Edition of Natural Science),2012,36(3):159-163.
[32]宋吉胜.地埋式油罐的设计[J].石油工程建设,2002,28(3):4-7.SONG Jisheng. Design of buried oil tank[J]. Petroleum Engineering Construction,2002,28(3):4-7.
[33]王立平.卧式埋地油罐设计[J].油气田地面工程,2007,26(6):40-41.WANG Liping. Design of horizontal buried tank[J].OilGas Field Surface Engineering,2007,26(6):40-41.
[34] SHMULEVICH I,GALILI N,FOUX A. Soil stress distribution around buried pipes[J]. Journal of Transportation Engineering,ASCE,1985,112(5):481-494.