摘要
针对富水地区一般交通荷载作用下圆形衬砌隧道系统的动力响应问题,提出一种新方法进行研究。假定外围土体为饱和多孔介质,隧道衬砌视为Flügge薄壁圆柱壳。将非轴对称荷载、隧道系统的动力响应沿环向模态展成级数形式,通过引入势函数和利用傅里叶积分变换求解薄壁圆柱壳和土体的控制方程,根据边界条件和连续条件求得势函数当中的待定常数,那么频率—波数域内的动力响应即可获得。时空域内的响应只要利用双重傅里叶逆向变化就可得到。研究的结果说明这种方法可有效求解非轴对称交通荷载作用下饱和土中隧道系统的动力响应;荷载速度和初始频率对隧道系统的动力响应均有较大影响。
A new method is proposed to investigate the dynamic response of the circular tunnel system with liner in water-rich region due to the general traffic load. The soil is modeled as saturated porous medium. The liner is considered as Fltigge thin cylindrical shell. The non-axisymmetrical load and dynamic response of the tunnel system are expanded in series form along ring modes circumferentially. The equations for the thin cylindrical shell and soil are solved by introducing potential functions together with the application of Fourier transformation. According to boundary condition and continuity condition, the arbitrary constants involved in the potential functions are calculated. So the dynamic response of the tunnel system in frequency-wave-number domain is derived from potential functions. The solution in time-space domain can be recovered by double inverse Fourier transformation. The research results show that this method can effectively achieve the dynamic response of the tunnel system in saturated soil under non- axisymmetric traffic load. Both load frequency and initial frequency have much effect on the dynamic response of the tunnel system.
出处
《公路》
北大核心
2015年第4期277-282,共6页
Highway
基金
国家自然科学基金项目
项目编号51269021
江西省自然科学基金重点项目
项目编号20133ACB20006
江西省教育厅科技项目
项目编号GJJ12629
关键词
交通荷载
隧道
饱和土体
动力响应
傅里叶变换
traffic load
tunnel
saturated soil
dynamic response
Fourier transfor.mation
