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自由振动分析是地下结构地震动力响应分析的基础。本文利用笔者先前得到的长型地下结构的自由振动方程,研究了地基弹性参数对地下结构自由振动的影响。由分析可以看出,随着地基弹性参数值的增加,结构中波速值总的趋势是增加,但是温克尔地基参数对结构中波速的影响远大于第二地基参数的影响;地下结构振动频率总的趋势是随着温克尔地基参数k和第二地基参数gP值的增加而增加;与地基参数对地下结构中波的传播速度的影响不同,k和gP对地下结构振动频率的影响是同阶的,因此不能忽略gP对地下结构自由振动的影响。
Free vibration analysis is the foundation of seismic dynamic response analysis of underground structures. In this paper, we use the previous free vibration equation of long underground structure to study the influence of the foundation elastic parameters on the free vibration of underground structures. It can be seen from the analysis that with the increase of the elastic foundation parameters, the general tendency of the wave velocity in the structure increases. However, the influence of the Winkler foundation parameters on the wave velocity in the structure is far greater than that of the second foundation. The vibration frequency The general trend is that with the increase of the Winkel foundation parameter k and the second foundation parameter gP, the influence of the ground parameters on the propagation velocity of the wave in the underground structure is different. The influence of k and gP on the vibration frequency of the underground structure is The same order, and therefore can not ignore the impact of gP on the free vibration of underground structures.