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本文利用了文献[1]给出的半无限粘弹性地基表面动刚度系数,用子结构拼接法得到了考虑地基影响后的动力方程,然后用摄动法近似地求解了复本征值问题,分析了半无限粘弹性地基对重力坝自振周期、最大地震惯性力和最大地震应力的影响.从而可把文献[2]给出的最大地震惯性力Q_(max)和最大地震竖向应力σ_(max)进一步表示为Q_(max)=Q_1α_Qγ_Qψ_Q和σ_(max)=σ_1α_σγ_σψ_σ,ψ_Q和ψ_σ分别为最大地震惯性力和最大地震应力的地基影响系数.
In this paper, the surface dynamic stiffness coefficient of the semi-infinite viscoelastic foundation given in [1] is used. The sub-structure stitching method is used to obtain the dynamic equation after considering the influence of the foundation. Then the complex eigenvalue problem is approximated by the perturbation method. The influence of the semi-infinite viscoelastic foundation on the natural vibration period, maximum seismic inertia force and maximum seismic stress of the gravity dam is analyzed. The maximum seismic inertial force Q_(max) and the maximum earthquake vertical stress σ_ given in [2] can be obtained. (max) is further expressed as Q_(max)=Q_1α_Qγ_Qψ_Q and σ_(max)=σ_1α_σγ_σψ_σ, and ψ_Q and ψ_σ are the ground effect coefficients of maximum earthquake inertia force and maximum seismic stress, respectively.