文章详细信息 关键词： 分数导数;;粘弹性;;动力响应;;多孔介质;;不可压 [gap=956]Keywords: fractional derivative;viscoelasticity;dynamic response;porous medium;incompressible
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分数阶导数 fractional derivative
Based on the absolute nodal coordinate(ANC) framework,the dynamics modeling and solution strategy for the multibody system with fractional derivative damper is investigated.
在绝对节点坐标体系下研究了具有分数导数阻尼特性元件的多体系统动力学建模、求解问题。
参考来源 - 含分数阻尼特性元件的多体系统动力学研究And the damping properties of viscoelastic material described by using both theories of fractional order derivative and classical viscoelasticity.
利用分数导数理论和经典微分型粘弹性理论对分数导数本构模型描述的粘弹性材料的性能特别是阻尼性能进行了分析。
参考来源 - 高分子材料的分数导数型本构关系及其应用Comparing with classical viscoelastic models, fractional derivative models describe not only the constitutive of viscoelastic material and the related mechanics properties accurately in wide range, but also need less model parameters.
分数导数模型与其他经典模型相比不但能够精确地描述粘弹性材料的本构关系及其力学特性,而且确定模型所需实验参数少、能够在较宽的频率范围内描述材料的力学行为。
参考来源 - 分数导数型粘弹性材料的力学行为及在结构减振中的应用研究·2,447,543篇论文数据，部分数据来源于NoteExpress
但必须注意的是，经典的定义，分数导数在情商。
It is important to note that the classical definition of fractional derivative in Eq.
这里的粘弹性分数导数模型的等效线性粘性阻尼系统进行了讨论。
The equivalent linear viscous damping system for the viscoelastic fractional derivative model is discussed here.
结果表明，分数导数本构模型在描述岩体粘弹性力学行为方面具有建模精确，应用范围广等优点。
Result shows that fractional derivative model describes viscoelastic mechanical of rocks precisely and has a wide application.
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