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And the reliability of the fractional derivative Maxwell model to model the elastomer is validated by the shear rheological test.

并且用剪切流变试验验证了用分数微分Maxwell模型建模胶泥材料的可行性。

Satisfactory numerical validation is presented including a preliminary investigation of time step effect and the value of fractional derivative order for different types of fractional differential equations.

数值算例对不同的分数阶微分方程进行了讨论,探讨了不同的分数阶和时间步长对计算结果的影响,并将计算结果与文献中相关算法的计算结果进行了比较。

In this dissertation,the fractional derivative constitutive relations are applied tostudy the static and dynamical problems of viscoelastic structures in theoreticalanalysis and numerical simulation.

利用分数微分型本构关系,对粘弹性结构的静、动力学行为进行理论分析和数值模拟。

In order to simplify analysis of the mechanical characteristics of the damper for vibration, which is modeled by the fractional derivative Maxwell model, a sinusoidal algorithm is derived. The credibility and the advantage of this algorithm are validated by comparing the calculating results of this sinusoidal algorithm with the existing theoretical and experimental results.

为了简化振动环境下用分数微分Maxwell模型建模的缓冲器的力学特性分析,提出了一种正弦算法,并将该算法计算的结果与已有的计算结果和试验结果分别比较,证明了该算法的可靠性,突出了其优越性。

The pipe flow of the fractional derivative Maxwell fluid has been investigated, which supplies a theory base for the model of the elastomer damper.

研究了分数微分Maxwell粘弹性流体的管道流,为胶泥缓冲器的建模提供了理论基础。

The weather and climate comply with the fluid dynamical equation and appear stochastic. In order to explore the relationship between weather and climate, the fractional derivative and integration are introduced. Physically, the stochastic degrees of weather and climate are different.

天气和气候虽然遵从流体力学规律,但是却显示出随机性,研究天气和气候之间的关系必须引入分数阶的导数和积分,从物理上讲不外乎说明天气和气候的随机程度是不相同的。

Based on a sinusoidal input, force and displacement expressions of a damper are formulated by using the fractional derivative Maxwell model. The mechanical property of the damper is analyzed using these expressions.

在正弦输入的假设下,推导了用分数微分Maxwell模型建模粘弹性阻尼器时力和位移的表达式,并用该表达式分析了阻尼器的力学特性。

In the model randomness, model with constantly complex modules, Kelvin-Voigt model, fractional derivative model with three parameters and standard rheologic model with three parameters are considered.

在 模型的随机性分析中分别考察了常复数模型、Kelvin-Voigt模型、三参数分数导数模型和三参数标准流变学模型。

Therefore, a similarity solution of velocity distribution exists in such unsteady Navier-Stokes equations; In chapter 3, the unsteady flow of a viscoelastic fluid with the fractional derivative Maxwell model in rectangular tube is studied.

因而,给出了不定常Navier-Stokes方程速度分布的一相似性解;第三章研究了具有分数阶Maxwell模型的粘弹性流体在矩形管内的不定常流动。

Using difference method, the first-order and the second-order differential equations of fractional derivative can become the first-order ordinary differential equation, and the high precision direct integration can be used for the solution.

所论方法首先引入差分格式,将含有分数阶导数的一阶和二阶微分方程变为一阶的常微分方程,然后再用精细积分方法逐步积分进行求解。

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