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In this paper,We use the singular perturbation theory and method to study the two types of singular perturbation problems with fractional derivative.

本文应用奇异摄动理论和方法研究了含有分数阶导数的两类奇异摄动问题。

In this paper, viscoelastic fractional derivative model is used for the first time in dynamic analysis of SRM, and various verification tests are carried out.

本文首次将粘弹性分数阶导数模型用于发动机的动力学分析,并进行了多种试验验证。

Fractional derivative is the concept of extension of the integral order.And it has a wide range of real meaning,it can describe many phenomenon of the natural world.

分数阶导数是整数阶导数的概念的延伸,其具有广泛的实际意义,它能描述自然界的许多现象。

In TFDE, the first-order timederivative is replaced by a fractional derivative, making the problem global in time.

对于前者,时间上的一阶导数被分数阶导数所代替,使得问题在时间上是全局的。

Based on the current development of VED in structural control and its fractional derivative model, the finite element formula of VED is erected by using three different assumptions of the shear strain.

针对粘弹性材料的分数导数模型,采用不同的剪应变的假设,推导了粘弹性阻尼器的有限元计算公式,通过粘弹性阻尼器在一单自由度系统的控制上的应用,确定了其计算模型。

Furthermore, a calculating method of the dissipated energy of the viscoelastic damper modeled by the fractional derivative Maxwell model is supplied.

此外给出了分数微分Maxwell模型建模的粘弹性缓冲器耗散能量的计算方法。

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。

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。

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