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首页> 外文会议>Third International Conference on Earthquake Resistant Engineering Structures ERES Ⅲ, 3rd, Sep, 2001, Malaga >Time-domain analysis of structures with dampers modelled by fractional derivatives
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Time-domain analysis of structures with dampers modelled by fractional derivatives

机译：带分数阶导数建模的阻尼器结构的时域分析

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摘要

Two numerical procedures are proposed to solve the equations of motion of multi-degree-of-freedom systems with damping properties expressed by fractional derivatives, representative of the behaviour of several classes of devices used in the field of structural control. The two procedures are modified versions of the central difference integration method, previously introduced for single-degree-of-freedom systems and extended herein to multi-degree-of-freedom cases, and the constant-average-acceleration implicit Newmark method, both implemented for problems governed by fractional derivatives. The generalized formulations of the two integration schemes are presented in terms of recursive equations. The stability and accuracy characteristics are then examined, and an analytical rule for assessing the critical step-size relevant to the central difference method is provided. A demonstrative case study, constituted by a two degree-of-freedom braced frame including fluid viscous dampers, is finally reported.
机译：提出了两种数值程序来求解具有分数阶导数表示的阻尼特性的多自由度系统的运动方程，代表了在结构控制领域中使用的几类设备的行为。这两个过程是先前针对单自由度系统引入并在此扩展至多自由度情况的中央差分积分方法的修改版本，以及均均加速度隐式Newmark方法，均已实现对于分数导数控制的问题。根据递归方程给出了两种积分方案的广义公式。然后检查稳定性和准确性特征，并提供用于评估与中心差方法有关的关键步长的分析规则。最终报告了一个由两自由度支撑框架（包括流体粘性阻尼器）组成的演示案例研究。

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