P波作用下地下输流管道的动力响应分析
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摘要
采用复变函数法研究了地下输流管道在平面P波作用下的动应力集中问题.建立了地下输流管道的流固耦联波函数,求解了地下输流管道在地震波作用下的波函数动力学方程.研究表明:流体作用对管道内的径向动应力集中分布的影响较大;无量纲的空间频率显示,在低频P波作用下,管内流体所产生的径向动应力集中沿管周呈均匀分布,当空间频率加大时,管道内流体震荡增强,影响了管道的应力分布形态;低频域下管道的环向动应力集中峰值点较多,随着入射波空间频率的增加,应力集中程度呈衰减趋势.
Dynamic stress concentration response of an underground liquid-filled pipe impacted by plane P waves was analyzed by complex function.The liquid-solid wave function of pipe in half-space was obtained and the dynamical equation of wave function was calculated under wave incidence.The analytical results show that liquid has great effects on radial dynamic stress concentration in pipe.Revealed by dimensionless spacial frequency,radial dynamic stress concentration occurs at surrounding of pipe under low frequency of incident P waves.Liquid vibration in the pipe increases with the increase of spacial frequency,which affects the distribution of dynamic stress in the pipe.There are many peak spots of loop dynamic stress concentration under low spacial incident frequency;while dynamic stress concentration tends to attenuate with the increase of spacial incident frequency.
Dynamic stress concentration response of an underground liquid-filled pipe impacted by plane P waves was analyzed by complex function.The liquid-solid wave function of pipe in half-space was obtained and the dynamical equation of wave function was calculated under wave incidence.The analytical results show that liquid has great effects on radial dynamic stress concentration in pipe.Revealed by dimensionless spacial frequency,radial dynamic stress concentration occurs at surrounding of pipe under low frequency of incident P waves.Liquid vibration in the pipe increases with the increase of spacial frequency,which affects the distribution of dynamic stress in the pipe.There are many peak spots of loop dynamic stress concentration under low spacial incident frequency;while dynamic stress concentration tends to attenuate with the increase of spacial incident frequency.
引文
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[7]史文谱,刘殿魁,林宏,等.半无限空间中稳态P波在衬砌周围的散射[J].地震工程与工程振动,2002,22(3):19-26.Shi Wenpu,Liu Diankui,Lin Hong,et al.Scattering ofsteady P-wave around a circular lining in half space[J].Earthquake Engineering and Engineering Vibration,2002,22(3):19-26(in Chinese).
[8]纪晓东,梁建文,杨建江.地下圆形衬砌洞室在平面P波和SV波入射下动应力集中问题的级数解[J].天津大学学报,2006,39(5):511-517.Ji Xiaodong,Liang Jianwen,Yang Jianjiang.On dy-namic stress concentration of an underground cylindricallined cavity subjected to incident plane P and SVwaves[J].Journal of Tianjin University,2006,39(5):511-517(in Chinese).
[9]Liu Diankui,Gai Bingzheng,Tao Guiyuan.Applica-tions of the method of complex function to dynamicstress concentration[J].Wave Motion,1982,5(4):293-304.
[10]Davis C A,Lee V W,Bardet J P.Transverse response ofunderground cavities and pipes to incident SV waves[J].Earthquake Engineering and Structural Dynamics,2001,30:383-410.
[11]Pao Y H,Mow C C.Diffraction of Elastic Waves and Dynamics Stress Concentrations[M].New York:Crane,Russak&Company Inc,1973.
[2]Jong C A F.Analysis of Pulsations and Vibrations Influid-Filled Pipe Systems[D].Eindhoven:Eindhoven Uni-versity of Technology,1994.
[3]Hatfield F J,Wiggert D C.Seismic pressure surges inliquid-filled pipelines[J].J Pressure Vessel Technol,1990,112(3):279-283.
[4]Sender C,Li G X,Paidoussis P M.The nonlinear equa-tions of motion of pipe conveying fluid[J].Journal ofSound and Vibration,1994,169(5):577-599.
[5]Williams E G.Structural intensity in thin cylindricalshells[J].Journal of the Acoustic Society of America,1991,89(4):1615-1622.
[6]Pavic G.Vibrational energy flow in elastic circular cylin-drical shells[J].Journal of Sound and Vibration,1990,142(4):293-310.
[7]史文谱,刘殿魁,林宏,等.半无限空间中稳态P波在衬砌周围的散射[J].地震工程与工程振动,2002,22(3):19-26.Shi Wenpu,Liu Diankui,Lin Hong,et al.Scattering ofsteady P-wave around a circular lining in half space[J].Earthquake Engineering and Engineering Vibration,2002,22(3):19-26(in Chinese).
[8]纪晓东,梁建文,杨建江.地下圆形衬砌洞室在平面P波和SV波入射下动应力集中问题的级数解[J].天津大学学报,2006,39(5):511-517.Ji Xiaodong,Liang Jianwen,Yang Jianjiang.On dy-namic stress concentration of an underground cylindricallined cavity subjected to incident plane P and SVwaves[J].Journal of Tianjin University,2006,39(5):511-517(in Chinese).
[9]Liu Diankui,Gai Bingzheng,Tao Guiyuan.Applica-tions of the method of complex function to dynamicstress concentration[J].Wave Motion,1982,5(4):293-304.
[10]Davis C A,Lee V W,Bardet J P.Transverse response ofunderground cavities and pipes to incident SV waves[J].Earthquake Engineering and Structural Dynamics,2001,30:383-410.
[11]Pao Y H,Mow C C.Diffraction of Elastic Waves and Dynamics Stress Concentrations[M].New York:Crane,Russak&Company Inc,1973.
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