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1)  fractional-dimension derivative
分维导数
2)  multidimensional derivative
多维导数
3)  fractional derivative
分数导数
1.
Analysis on forced vibration of two degrees of viscoelastic damping system described by fractional derivative model;
简谐荷载作用下分数导数型粘弹性两自由度阻尼系统受迫振动分析
2.
Dynamic FE equation and its numerical solution of fractional derivative viscoelastic damper;
分数导数型粘弹性阻尼器的动力学有限元方程及数值解
3.
Mechanical Properties of Viscoelastic Materials Modeled by Fractional Derivative and Application Study on Suppressing Vibration of Structure;
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
4)  fractional calculus
分数导数
1.
Some damping proprieties of the fractional calculus model for viscoelastic materials;
分数导数型黏弹性材料的一些阻尼特性
2.
This paper discusses the dynamic properties of viscoelastic materials modeled by fractional calculus constitutive model.
运用分数代数及本构理论 ,讨论了具有分数代数Maxwell本构关系的粘弹性材料的储能柔量、耗散柔量、耗散率、内摩擦角等参量随频率的变化规律 ,分析了具有分数导数Maxwell本构关系的粘弹性材料的一些阻尼特性。
3.
To address the stress strain relation, a power polynomial of strain was used to describe the nonlinear elasticity of the material, while a fractional calculus was used to reflect the linear viscoelasticity of the foam.
采用多项式函数与分数导数模型分别描述泡沫塑料的非线性弹性与线性粘弹性,推导该模型在恒速加卸载工况下响应的表达式。
5)  Fractal dimension
分数维数
1.
This paper demonstrates that when the quantity of observed data is large enough, the fractal dimension of nonlinear dynamical system with unique compact attractor can be estimated by its univariate observed time series y 1(t) or by its multivariate observed time series ( y 1(t),…,y p(t)), and the estimated results are approximately equal.
首先说明当观测数据量充分大时,来自于同一具有唯一紧吸引子的非线性动态系统的一维观测数据y1(t)或多维观测数据(y1(t),…,yp(t))都可以用来构造对该系统分数维数的估计,且两种方法的估计结果是一致的。
2.
And fractal dimension is the key to understand the theory of fractal.
分形理论是全球科学家们的研究热点之一 ,在 2 0世纪的数学宝库中 ,分形理论以分形几何的角色出现 ,而分数维数是分形几何学在几何学中的新突破。
3.
In this paper it is proved that the fractal dimension estimate of nonlinear dynamical system with its multivariate observation series is the same as that with its univariate observation series.
首先说明利用非线性动态系统的多维观测数据和一维观测数据对系统分数维数进行估计的一致性,然后基于这一思想,给出了一种推断两列观测数据是否来自同一非线性动态系统的方法,并引入了非线性相关度的概念,以度量两列数据的非线性相关程度。
6)  derivative analysis
导数分析
补充资料:阇维分
【阇维分】
 (杂名)大般涅槃经后分之异名。
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