高水压作用下海底隧道的地震动力响应是一个需要深入研究的问题.基于Winkler地基模型,利用动力平衡条件和微分关系推导出了仅由弯曲引起的梁振动方程,利用分离变量法求得了海底隧道的振型和自振频率,并推导出了地震作用下海底隧道与地基之间的动力相互作用系数以及隧道结构位移表达式.通过算例计算研究了水压对于结构的自振频率、结构位移以及相互作用系数的影响.研究表明,高水压作用下结构的地震动力响应不可忽略.
Seismic dynamic response of submarine tunnel under high water pressure is a problem in need of further investigation. Based on Winkler 's foundation model,the structure vibration equation with consideration of only bending is derived by using dynamic equilibrium condition and differential relations.Using the method of variable separation, the vibration mode and natural vibration frequencies of submarine tunnel are obtained. And the interaction coefficient between submarine tunnel and foundation and structural displacement is also determined. Numerical example is given and the effect of water pressure on structural natural vibration frequencies and structural displacement and interaction coefficient is studied. Investigation shows that structural seismic dynamic response under effect of high water pressure should not be neglected.