顺层边坡岩体结构的非完善屈曲性态研究
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摘要
视顺层边坡岩体自重的法向分量为结构的初始缺陷,应用初始后屈曲理论和尖点突变模型探讨了缺陷结构在临界状态下的屈曲性态,建立了边坡岩体结构的平衡稳定模态幅值方程,给出了边坡岩体结构分叉点附近的邻域及其稳定性判据。研究结果表明,表征结构初始缺陷的修正项与尖点突变模型中的剖分因子之间具有确定的关系;与理想化完善结构不同的是,顺层边坡岩体结构屈曲的临界值远大于其分叉点处的载荷值,是由其突变模型的分叉集确定的;只有考虑了边坡的实际缺陷,才可得出边坡岩体结构在真正临界意义上的临界值。
Regarding the normal component force acting on the side slope with bedding rock mass as initial defect of structure,buckling behavior of imperfect system in a critical state by using initial post-buckling theory and cusp cata strope model is studied,the mode amplitude equation of equilibrium stability for the side slope with bedding rock mass is established,and a bifurcation neighborhood and the criterion of stability for rock mass slope are derived.The results indicate that the initial defect correction term has determined relation with the ripping factor in cusp catastrophe model;compared with the ideal structure,the critical value for the side slope with bedding rock mass is much larger than its load value at bifurcation point,and is determined by its bifurcation set;the critical value in the real critical sense can be obtained only if the actual defect for side slope with bedding rock mass is considered.
Regarding the normal component force acting on the side slope with bedding rock mass as initial defect of structure,buckling behavior of imperfect system in a critical state by using initial post-buckling theory and cusp cata strope model is studied,the mode amplitude equation of equilibrium stability for the side slope with bedding rock mass is established,and a bifurcation neighborhood and the criterion of stability for rock mass slope are derived.The results indicate that the initial defect correction term has determined relation with the ripping factor in cusp catastrophe model;compared with the ideal structure,the critical value for the side slope with bedding rock mass is much larger than its load value at bifurcation point,and is determined by its bifurcation set;the critical value in the real critical sense can be obtained only if the actual defect for side slope with bedding rock mass is considered.
引文
[1]王芝银,李云鹏.中国西部岩土工程与岩土力学问题[J].长安大学学报(自然科学版),2003,23(1):11-14.
[2]王芝银,杨志法,李云鹏,等.顺层边坡岩体结构变形分叉突变特性研究[J].西安矿业学院学报,1999,19(3):203-207.
[3]李云鹏,安晓宁,王芝银.考虑不同拉压特性边坡岩体结构稳定性位移判据[J].西安公路交通大学学报,1999,19(4):15-17.
[4]ROSS C T F,SADLER J R.Inelastic shell instability of thin-walled circular cylinders under external hydrostatic pressure[J].Ocean Engineering,2000,27:765-774.
[5]ROSS C T F,JOHNS C T.Plastic axisymmetrical collapse of thin-walled circular cylinders and cones under uniform external pressure[J].Thin-Walled Structures,1998,30:35-54.
[6]李云鹏,杨治林,王芝银.顺层边坡岩体结构稳定性位移理论[J].岩石力学与工程学报,2000,19(6):747-750.
[7]杨治林.层状边坡岩体结构的后屈曲[J].长安大学学报(自然科学版),2005,25(2):73-76.
[8]杨治林,韩江水.顺层边坡岩体初始后屈曲性态及其缺陷敏感性[J].西安科技大学学报,2006,(4):576-579.
[9]肖远.用岩层梁代替岩层板分析顺层岩体边坡结构变形破坏的条件[C]//第二届全国工程地质力学青年学术讨论会论文集.北京:地震出版社,1992.
[10]范钦珊.初始后屈曲理论及其应用[C]//材料和结构的不稳定性.北京:科学出版社,1993.
[11]WHITTLES D N,REDDISH D J,LOWNDES I S.The development of a coal measure classification and its use for prediction of geomechanical parameters[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(4):496-513.
[12]杨治林.顺层边坡岩体结构的模态幅值研究[J].岩土力学,2003,24(5):764-770.
[2]王芝银,杨志法,李云鹏,等.顺层边坡岩体结构变形分叉突变特性研究[J].西安矿业学院学报,1999,19(3):203-207.
[3]李云鹏,安晓宁,王芝银.考虑不同拉压特性边坡岩体结构稳定性位移判据[J].西安公路交通大学学报,1999,19(4):15-17.
[4]ROSS C T F,SADLER J R.Inelastic shell instability of thin-walled circular cylinders under external hydrostatic pressure[J].Ocean Engineering,2000,27:765-774.
[5]ROSS C T F,JOHNS C T.Plastic axisymmetrical collapse of thin-walled circular cylinders and cones under uniform external pressure[J].Thin-Walled Structures,1998,30:35-54.
[6]李云鹏,杨治林,王芝银.顺层边坡岩体结构稳定性位移理论[J].岩石力学与工程学报,2000,19(6):747-750.
[7]杨治林.层状边坡岩体结构的后屈曲[J].长安大学学报(自然科学版),2005,25(2):73-76.
[8]杨治林,韩江水.顺层边坡岩体初始后屈曲性态及其缺陷敏感性[J].西安科技大学学报,2006,(4):576-579.
[9]肖远.用岩层梁代替岩层板分析顺层岩体边坡结构变形破坏的条件[C]//第二届全国工程地质力学青年学术讨论会论文集.北京:地震出版社,1992.
[10]范钦珊.初始后屈曲理论及其应用[C]//材料和结构的不稳定性.北京:科学出版社,1993.
[11]WHITTLES D N,REDDISH D J,LOWNDES I S.The development of a coal measure classification and its use for prediction of geomechanical parameters[J].International Journal of Rock Mechanics and Mining Sciences,2007,44(4):496-513.
[12]杨治林.顺层边坡岩体结构的模态幅值研究[J].岩土力学,2003,24(5):764-770.
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