查询词典 fractional derivative

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。

The dynamic stability of simple supported viscoelastic column, subjected to a periodic axial force, is investigated. The viscoelastic material was assumed to obey the fractional derivative constitutive relation.

研究简支的受轴向周期激励的粘弹性柱动力稳定性，柱的材料满足分数导数型本构关系。

In the third chapter,the Lévy-Feller advection-dispersion equation describing anomalous diffusion,with asymmetric fractional derivative,is considered.

更多程不同的是，在三维情形中，分数阶导数的复杂性使得在构造差分格式时所添加的摄动项也非常复杂，由此所构造差分格式的理论分析也变得比较复杂。

The analysis results show clearly that the fractional derivative Maxwell model can embody both the creeping and the relaxing of the viscoelastic materials.

通过分析分数微分Maxwell模型的复模量，证实该模型具有广适性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。