壳体稳定性问题的研究进展
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摘要
为探索大地震成因的物理机理,根据板壳理论的研究结果,综述多年来柔韧壳体非线性大挠度变形研究中与地震成因相关的壳体结构变形问题的研究进展、壳体结构变形过程中的稳定性问题。同时,介绍壳体曲率变化对其变形过程中稳定性的影响,期望能为探索大地震成因机理的研究提供某些有用的物理依据与理论基础。
In order to explore physical mechanism of large earthquake occurrence,in this paper,the advances in studies on nonlinear large deflection deformations for the flexible shell system with relation to seismic origin process and stability of their deformation physical process are reviewed.In the meantime,the influence of curvature changes on buckling of the flexible shell structure is also introduced.We expect that the paper can provide more of the physics and theoretical basis for an exploring seismogenesis mechanism of large earthquakes.
In order to explore physical mechanism of large earthquake occurrence,in this paper,the advances in studies on nonlinear large deflection deformations for the flexible shell system with relation to seismic origin process and stability of their deformation physical process are reviewed.In the meantime,the influence of curvature changes on buckling of the flexible shell structure is also introduced.We expect that the paper can provide more of the physics and theoretical basis for an exploring seismogenesis mechanism of large earthquakes.
引文
陈铁云,沈惠申.结构的屈曲[M].上海:科学技术出版社,1993.
黄克智,蒋智翔,郑思梁.薄壳简单边界效应理论的二次渐近方程·清华大学工程力学系1964年研究报告[J].力学学报,1981,13(6):550-561.
梅世蓉,宋治平,薛艳.中国巨大地震前地震活动的环形分布图象与规律[J].地震学报,1996,18(4):413-419.
沙风焕,赵隆茂,杨贵通.冲击扭矩作用下碳纳米管动力屈曲的研究[J].爆炸与冲击,2006,26:79-83.
沙风焕,王志华.圆柱壳的动力屈曲理论及其应用[M].北京:中国建材工业出版社,2007.
苏刚,许绍燮,麻水岐,等.大华北新构造运动和地震活动“成片迁移”的成因探讨[J].地球物理学报,1990,33(3):278-289.
王林祥,武际可.集中载荷作用下弹性球壳大范围非线性问题[J].力学学报,1997,29(2):231-235.
王仁,韩铭宝,黄筑平,等.受轴向冲击的圆柱壳塑性动力屈曲试验研究[J].力学学报,1983,15(5):509-514.
沃耳密尔A C著,卢文达,黄择言,卢鼎霍译.柔韧办与柔韧壳[M].北京:科学出版社,1963.
武际可,苏先樾.弹性系统的稳定性[M].北京:科学技术出版社,1994.
许绍燮,沈佩文.北京周围地区地震的分布特点与地壳屈曲[J].地震学报,1980,2(2):153-167.
许绍燮.地震发震大尺度结构[J].科学导报,2010,28(23):26-33.
Su Gang,Xu Shaoxie.Earthquake precursor phenomena and crustal buckling[J].J Seismological Res,1985,8(4):565-575.
Akkas N.Bifurcation and snap-through phenomena in asymmetric dynamic analysis of shallow spherical shells[J].Comp&Struct,1976,6:241-251.
Ball R E,Burr J A.Dynamic buckling of shallow spherical shells[J].JAM,1973,40:411-416.
Bukouski R,Wojewodzki W.Dynamic buckling of viscoplastic spherical shells[J].Solid and Struct,1984,20(8):761-776.
Budiansky B,Roth R S.Axisymmetric dynamic buckling of shallow spherical shells[J].NASATN-1510,1962:597-609.
Budiansky B,Weinitschke H.On axisymmetical buckling of clamped shallow spherical shells[J].J Aero Sci,1960,27:545-546.
Coppa A P.On the mechanism of buckling of a circular cylindrical shell under longitudinal impact[C].General Electric Report R60SD494,presented at Tenth Int.Cong Appt Mech,Stresa,Italy,August 31-September 7,1960.
Huang N C.Axisymmetric dynamic snap-through of elastic clamped shallow spherical shells[J].AIAA J,1969,7(2):215-220.
Huang N C.Unsymmeteical buckling of thin shallow spherical shells[J].J Appl Mech,1964,31:447-457.
Jones N,Ahn C S.Dynamic elastic and plastic buckling of complete spherical shells[J].Solid and Struct,1974,10:1357-1374.
Jones N,Ahn C S.Dynamic buckling of complete rigid-plastic spherical shells[J].JAM,1974,41:609-614.
von Karman T,Tsien H S.The buckling of thin cylindrical shells under axial[J]].Compression J Aero Sci,1941,8:303-312.
Koiter W T.The effect of axisymmetric imperfections on the buckling of cylindrical,shells under axial compression[J].Proc Kon Ned AK Wet,1963,B66:265.
Koiter W T.Elastic stability and postbuckling behavior.in Nonlinear Problems(ed.by R E Langer)[M].Univ.of Wisconsin Press,Madison,1963:267-275.
Krenzke M A,Kiernan J J.Elastic stability of near-perfect shallow spherical shells[J].AIAA J,1963,1:2855-2857.
Krenzke M A.Tests of machined deep spherical shells under external hydrostatic pressure[J].AD278075,DTMB Rept,1962,No.1601.
Leyko L,et al.Energy method of analysis of dynamic stability of a cylindrical shell subjected to torsion[J]].Arch Mech,1974:13-24.
Lindberg H E,Hbert R E.Dynamic buckling of a thin cylindrical shell under axial impact[J].JAM,1966,38:105.
Lock M H,Okubo S,Whittier J S.Experiments on the snapping of a shallow dome under a step pressure[J].AJAA J,1968,6(7):1320-1326.
Pook L P.Determination of fatigue crack path[J].International Journal of Bifurcation and Chaos,1997,7(2):469-475.
Sih G C,Hagendorf H C.A new theory of spherical shell with cracks[J].Thin Shell Structure,1974:365-375.
Simitses G J.Axisymmetric dynamic snap-through buckling of shallow spherical caps[J].AIAA J,1967,5(5):1019-1021.
Stein M.The effect on the buckling of perfect cylinders of prebuckling deformations and stresses induced by edge support[J].NASA TN,1962,D-1510.
Stein M.The influence of prebuckling deformations and stresses in the buckling of prefect cylinders[J].NASA,1964,TRR-190.
Svalbonas V,Kalnins A.Dynamic buckling of shell:evaluation of various methods[J].Nuclear Eng Desi,1977,44:331-356.
Treacy M M,Ebbesen T W,Gibson J M.Exceptionally high Young's modulus observed for individual carbon nanotubes[J].Nature,1996,38(20):678-680.
Weingarten V I,Morgan E J,Seide P.Elastic stability of thin walled cylindrical and conical shells under axial compression[J].AIAA J,1963(3):500-505.
Yakobson B I,Brabed C J,Bernhoic J.Structural mechanics of carbon nanotubes:from continuum elasticity to atomistic fracture[J].Phys Res Lett,1996,76(2):511-512.
Yamada S,Uchiyama K,Yamada M.Experimental investigation of the buckling of shallow spherical shells[J].Int J Nonlinear Mech,1983,18:37-54.
Yamaki N.Elastic stability of circular cylindrical shells[M].Elsevier Science Publishers,B V,1984.
Yao J C.Large deflection analyses of buckling of a cylinder under bending[J].J Appl Mech,1962,29:703-714.
Yoon J,Ru C Q,Mioduchowski A.Sound wave propagation in multiwalled carbon nanotubes[J].J Appl Phys,2003,93(8):1-6.
Zimcik D G,Tennyson R C.Stability of circular cylindrical shells under transient axial impulsive loading[J].AIAA J,1980,18(6):691-699.
Zuber M T,et al.Extension of continental lithosphere:A model for two scales of basin and range deformation[J].J Geophys Res,1986,91:4826-4838.
黄克智,蒋智翔,郑思梁.薄壳简单边界效应理论的二次渐近方程·清华大学工程力学系1964年研究报告[J].力学学报,1981,13(6):550-561.
梅世蓉,宋治平,薛艳.中国巨大地震前地震活动的环形分布图象与规律[J].地震学报,1996,18(4):413-419.
沙风焕,赵隆茂,杨贵通.冲击扭矩作用下碳纳米管动力屈曲的研究[J].爆炸与冲击,2006,26:79-83.
沙风焕,王志华.圆柱壳的动力屈曲理论及其应用[M].北京:中国建材工业出版社,2007.
苏刚,许绍燮,麻水岐,等.大华北新构造运动和地震活动“成片迁移”的成因探讨[J].地球物理学报,1990,33(3):278-289.
王林祥,武际可.集中载荷作用下弹性球壳大范围非线性问题[J].力学学报,1997,29(2):231-235.
王仁,韩铭宝,黄筑平,等.受轴向冲击的圆柱壳塑性动力屈曲试验研究[J].力学学报,1983,15(5):509-514.
沃耳密尔A C著,卢文达,黄择言,卢鼎霍译.柔韧办与柔韧壳[M].北京:科学出版社,1963.
武际可,苏先樾.弹性系统的稳定性[M].北京:科学技术出版社,1994.
许绍燮,沈佩文.北京周围地区地震的分布特点与地壳屈曲[J].地震学报,1980,2(2):153-167.
许绍燮.地震发震大尺度结构[J].科学导报,2010,28(23):26-33.
Su Gang,Xu Shaoxie.Earthquake precursor phenomena and crustal buckling[J].J Seismological Res,1985,8(4):565-575.
Akkas N.Bifurcation and snap-through phenomena in asymmetric dynamic analysis of shallow spherical shells[J].Comp&Struct,1976,6:241-251.
Ball R E,Burr J A.Dynamic buckling of shallow spherical shells[J].JAM,1973,40:411-416.
Bukouski R,Wojewodzki W.Dynamic buckling of viscoplastic spherical shells[J].Solid and Struct,1984,20(8):761-776.
Budiansky B,Roth R S.Axisymmetric dynamic buckling of shallow spherical shells[J].NASATN-1510,1962:597-609.
Budiansky B,Weinitschke H.On axisymmetical buckling of clamped shallow spherical shells[J].J Aero Sci,1960,27:545-546.
Coppa A P.On the mechanism of buckling of a circular cylindrical shell under longitudinal impact[C].General Electric Report R60SD494,presented at Tenth Int.Cong Appt Mech,Stresa,Italy,August 31-September 7,1960.
Huang N C.Axisymmetric dynamic snap-through of elastic clamped shallow spherical shells[J].AIAA J,1969,7(2):215-220.
Huang N C.Unsymmeteical buckling of thin shallow spherical shells[J].J Appl Mech,1964,31:447-457.
Jones N,Ahn C S.Dynamic elastic and plastic buckling of complete spherical shells[J].Solid and Struct,1974,10:1357-1374.
Jones N,Ahn C S.Dynamic buckling of complete rigid-plastic spherical shells[J].JAM,1974,41:609-614.
von Karman T,Tsien H S.The buckling of thin cylindrical shells under axial[J]].Compression J Aero Sci,1941,8:303-312.
Koiter W T.The effect of axisymmetric imperfections on the buckling of cylindrical,shells under axial compression[J].Proc Kon Ned AK Wet,1963,B66:265.
Koiter W T.Elastic stability and postbuckling behavior.in Nonlinear Problems(ed.by R E Langer)[M].Univ.of Wisconsin Press,Madison,1963:267-275.
Krenzke M A,Kiernan J J.Elastic stability of near-perfect shallow spherical shells[J].AIAA J,1963,1:2855-2857.
Krenzke M A.Tests of machined deep spherical shells under external hydrostatic pressure[J].AD278075,DTMB Rept,1962,No.1601.
Leyko L,et al.Energy method of analysis of dynamic stability of a cylindrical shell subjected to torsion[J]].Arch Mech,1974:13-24.
Lindberg H E,Hbert R E.Dynamic buckling of a thin cylindrical shell under axial impact[J].JAM,1966,38:105.
Lock M H,Okubo S,Whittier J S.Experiments on the snapping of a shallow dome under a step pressure[J].AJAA J,1968,6(7):1320-1326.
Pook L P.Determination of fatigue crack path[J].International Journal of Bifurcation and Chaos,1997,7(2):469-475.
Sih G C,Hagendorf H C.A new theory of spherical shell with cracks[J].Thin Shell Structure,1974:365-375.
Simitses G J.Axisymmetric dynamic snap-through buckling of shallow spherical caps[J].AIAA J,1967,5(5):1019-1021.
Stein M.The effect on the buckling of perfect cylinders of prebuckling deformations and stresses induced by edge support[J].NASA TN,1962,D-1510.
Stein M.The influence of prebuckling deformations and stresses in the buckling of prefect cylinders[J].NASA,1964,TRR-190.
Svalbonas V,Kalnins A.Dynamic buckling of shell:evaluation of various methods[J].Nuclear Eng Desi,1977,44:331-356.
Treacy M M,Ebbesen T W,Gibson J M.Exceptionally high Young's modulus observed for individual carbon nanotubes[J].Nature,1996,38(20):678-680.
Weingarten V I,Morgan E J,Seide P.Elastic stability of thin walled cylindrical and conical shells under axial compression[J].AIAA J,1963(3):500-505.
Yakobson B I,Brabed C J,Bernhoic J.Structural mechanics of carbon nanotubes:from continuum elasticity to atomistic fracture[J].Phys Res Lett,1996,76(2):511-512.
Yamada S,Uchiyama K,Yamada M.Experimental investigation of the buckling of shallow spherical shells[J].Int J Nonlinear Mech,1983,18:37-54.
Yamaki N.Elastic stability of circular cylindrical shells[M].Elsevier Science Publishers,B V,1984.
Yao J C.Large deflection analyses of buckling of a cylinder under bending[J].J Appl Mech,1962,29:703-714.
Yoon J,Ru C Q,Mioduchowski A.Sound wave propagation in multiwalled carbon nanotubes[J].J Appl Phys,2003,93(8):1-6.
Zimcik D G,Tennyson R C.Stability of circular cylindrical shells under transient axial impulsive loading[J].AIAA J,1980,18(6):691-699.
Zuber M T,et al.Extension of continental lithosphere:A model for two scales of basin and range deformation[J].J Geophys Res,1986,91:4826-4838.
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