The viscoelastic property of pile-soil interactions is modeled by fractional derivative method and is used to characterize the structural dynamics of pile and rheological behavior of a thawing frozen soil. A study of the thawing frozen soil impacts on pile structure’s dynamic characteristic is carried out. The frequency spectrum analysis and empirical modal decomposition are used to identify the pile structure dynamic properties. The rocking mode vibration in which pile behaviors like rigid body supported by viscoelastic soil is extracted to capture the viscoelastic property of pile-soil interactions. The rocking mode exhibiting time-varying frequency features is modeled with fractional derivative model and the fractional derivative order is identified. This study proposes a quick and reliable method to identify the viscoelastic property of pile-soil interactions.

用分数阶导数法模拟了桩-土相互作用的粘弹特性，并用于表征桩的结构动力学和解冻冻土的流变性。研究了冻融土对桩结构动力特性的影响。频谱分析和经验模态分解被用来识别桩结构的动力特性。摇摆模式振动，其中提取桩行为，如由粘弹性土壤支撑的刚体，以捕获桩土相互作用的粘弹性质。利用分数导数模型对具有时变频率特征的摇摆模式进行建模，并确定分数导数阶。