粘弹性点支承粘弹性桩的动力稳定性分析
|
摘要
为了探讨粘弹性点支承对粘弹性桩动力稳定性的影响,利用梁振动理论给出了轴向周期性动压作用下粘弹性点支承的粘弹性桩振动微分方程,根据动力稳定性理论给出了粘弹性点支承粘弹性桩的临界频率方程和不稳定区域。计算结果表明:对Kelvin模型粘弹性桩来说,随着粘弹性支承的粘性阻尼系数和弹性系数以及粘弹性桩的粘性系数的增大,粘弹性桩的动力不稳定区有明显的缩小,反之亦然;粘性系数、粘性阻尼系数和弹性系数对桩的动力稳定性有显著影响。
In order to investigate the effect of point visco-elastic supports on the dynamic stability of visco-elastic pile,the differential equation of the motion for visco-elastic pile with point visco-elastic supports under the action of axially periodic load was derived by vibration theory of beam.Based on the dynamic stability theory,the critical frequency equation of the pile was obtained,and the dynamic stability regions and instability regions were determined.Numerical results show that,with the increase of viscous damped coefficients of point visco-elastic supports,elastic coefficients and viscous coefficients of visco-elastic pile,the dynamic stability regions of visco-elastic pile decrease obviously,and vice versa.It is showed that effects of the viscous damped coefficients,the elastic coefficients and the viscous coefficients on the dynamic stability regions of the pile are very remarkable.
In order to investigate the effect of point visco-elastic supports on the dynamic stability of visco-elastic pile,the differential equation of the motion for visco-elastic pile with point visco-elastic supports under the action of axially periodic load was derived by vibration theory of beam.Based on the dynamic stability theory,the critical frequency equation of the pile was obtained,and the dynamic stability regions and instability regions were determined.Numerical results show that,with the increase of viscous damped coefficients of point visco-elastic supports,elastic coefficients and viscous coefficients of visco-elastic pile,the dynamic stability regions of visco-elastic pile decrease obviously,and vice versa.It is showed that effects of the viscous damped coefficients,the elastic coefficients and the viscous coefficients on the dynamic stability regions of the pile are very remarkable.
引文
[1]CEDERBAUM G,MOND M.Stability Properties of aViscoelastic Column under a Periodic Force[J].Jour-nal of Applied Mechanics,1992,59(3):16-19.
[2]孙强.阻尼作用影响桩的动力稳定性分析[J].华东公路,1996,19(1):53-56.
[3]刘学山,冯紫良,胥兵.粘弹性地基上弹性梁的自由振动分析[J].上海力学,1999,20(4):470-476.
[4]陆建飞,王建华,沈为平.考虑固结和流变的水平受荷桩的理论分析[J].中国公路学报,2000,13(3):29-32.
[5]王芝银,李云鹏.旋喷桩复合地基中系梁的作用分析[J].西安公路交通大学学报,2001,21(4):6-8.
[6]朱大同,傅朝方.桩的计算长度[J].中国公路学报,2001,14(4):67-69.
[7]赵明华,吴鸣,郭玉荣.轴、横向载荷下桥梁基桩的受力分析及试验研究[J].中国公路学报,2002,15(1):50-54.
[8]娄平,曾庆元.移动载荷下离散粘弹性点支承长梁的有限元分析[J].湘潭矿业学院学报,2003,18(1):36-40.
[9]娄平,曾庆元.移动载荷作用下连续粘弹性基础支承无限长梁的有限元分析[J].交通运输工程学报,2003,3(2):1-6.
[10]蒋建国,周绪红,邹银生.水平载荷作用下考虑轴向力的桩间动力相互作用因子[J].中国公路学报,2003,16(3):40-47.
[11]孙强.具有弹性支座杆件的动力稳定性分析[J].力学与实践,2004,26(1):29-31.
[12]冯世进,陈云敏,刘明振.成层土中粘弹性桩纵向振动分析及工程应用[J].中国公路学报,2004,17(2):59-63.
[13]刘忠,沈蒲生,陈铖.惯性载荷和地震载荷作用下单桩横向非线性动力响应简化分析[J].中国公路学报,2005,18(3):66-69.
[14]倪振华.振动力学[M].西安:西安交通大学出版社,1989.
[15]符.华.鲍洛金.弹性体系的动力稳定性[M].林砚田,译.北京:高等教育出版社,1960.
[2]孙强.阻尼作用影响桩的动力稳定性分析[J].华东公路,1996,19(1):53-56.
[3]刘学山,冯紫良,胥兵.粘弹性地基上弹性梁的自由振动分析[J].上海力学,1999,20(4):470-476.
[4]陆建飞,王建华,沈为平.考虑固结和流变的水平受荷桩的理论分析[J].中国公路学报,2000,13(3):29-32.
[5]王芝银,李云鹏.旋喷桩复合地基中系梁的作用分析[J].西安公路交通大学学报,2001,21(4):6-8.
[6]朱大同,傅朝方.桩的计算长度[J].中国公路学报,2001,14(4):67-69.
[7]赵明华,吴鸣,郭玉荣.轴、横向载荷下桥梁基桩的受力分析及试验研究[J].中国公路学报,2002,15(1):50-54.
[8]娄平,曾庆元.移动载荷下离散粘弹性点支承长梁的有限元分析[J].湘潭矿业学院学报,2003,18(1):36-40.
[9]娄平,曾庆元.移动载荷作用下连续粘弹性基础支承无限长梁的有限元分析[J].交通运输工程学报,2003,3(2):1-6.
[10]蒋建国,周绪红,邹银生.水平载荷作用下考虑轴向力的桩间动力相互作用因子[J].中国公路学报,2003,16(3):40-47.
[11]孙强.具有弹性支座杆件的动力稳定性分析[J].力学与实践,2004,26(1):29-31.
[12]冯世进,陈云敏,刘明振.成层土中粘弹性桩纵向振动分析及工程应用[J].中国公路学报,2004,17(2):59-63.
[13]刘忠,沈蒲生,陈铖.惯性载荷和地震载荷作用下单桩横向非线性动力响应简化分析[J].中国公路学报,2005,18(3):66-69.
[14]倪振华.振动力学[M].西安:西安交通大学出版社,1989.
[15]符.华.鲍洛金.弹性体系的动力稳定性[M].林砚田,译.北京:高等教育出版社,1960.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心