适用于倾斜自由面的黏弹性人工边界方法

APPLICABILITY ANALYSIS OF VISCOELASTIC ARTIFICIAL BOUNDARY FOR INCLINED SURFACE

  • 摘要: 倾斜自由面地基比水平自由面地基的反射波场更为复杂,兼具垂直入射和斜入射的反射特征,现有的黏弹性人工边界方法用于倾斜自由面模型动力分析时存在边界应力吸收效果欠佳的问题。该文根据应力波斜入射的反射波场分解思想,对P波垂直入射自然斜坡进行反射波场分解,推导了适用于倾斜自由面动力模型的黏弹性应力修正公式,并采用Python语言对ABAQUS进行二次开发,实现人工边界快速精确地施加方法与地震动输入。经数值模型验证表明:该文的黏弹性人工边界方法用于倾斜自由面地基的动力响应分析时,可消除左边界上的残余应力波和减轻内场反射波紊乱程度。具有圆弧形坡角的自然斜坡在坡顶处因其传播特征及反射波交叉干扰导致反射波场出现紊乱甚至畸变,而坡脚处反射波场一般不会出现紊乱。但对于具有折角形坡顶坡脚的人工边坡,坡顶处反射波场畸变严重而复杂,坡脚处反射波场也呈现一定的紊乱。等效节点力的地震动输入法,比位移输入法和加速度输入法更适用于倾斜自由面动力模型求解,其人工边界处的位移和应力条件与远置边界大模型最接近。

     

    Abstract: The reflection wave field of inclined surface is more complex than horizontal one, which combines the characteristics of both vertical and oblique incidence reflections. Existing viscoelastic artificial boundary methods used for dynamic analysis of inclined surface models exhibit inadequate boundary stress absorption effects. Based on the reflection wave field decomposition principle of stress wave oblique incidence, this paper decomposed the reflection wave field of natural slope for P-wave vertical incidence and derived viscoelastic stress correction formula suitable for slope dynamic models. For the rapid and precise application of artificial boundaries and seismic input, Python language was used for the secondary development of ABAQUS software. Model validation demonstrates that the improved viscoelastic artificial boundary technique, when employed in the dynamic response analysis of slope foundations, effectively eliminates residual stress waves on the left boundary and reduces the degree of reflection waves disturbance in the interior field. The natural slope with curved slope top and toe exhibits disturbed or distorted reflection wave fields at the slope top due to their propagation characteristics and intersection interference of reflection waves, whereas the reflection wave field at the slope toe generally remains undisturbed. Conversely, for cutting slope with angular shape of top and toe, the reflection wave field at the slope top is severely distorted and complex, while the reflection wave field at the slope toe shows a certain level of disturbance. The equivalent nodal force method for seismic input in solving dynamic models of slope ensures that the displacement and stress conditions at the artificial boundaries are highly similar to those of semi-infinite models than other seismic input methods.

     

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