Application of fractional derivatives to seismic analysis of base‐isolated models
Application of fractional derivatives to seismic analysis of base‐isolated models
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DOI：
10.1002/eqe.4290190207
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发表时间：
1990-02
影响因子：
4.5
通讯作者：
C. Koh;J. Kelly
中科院分区：
文献类型：
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作者：
C. Koh;J. Kelly
分数阶导数的概念用于制定弹性体的应力-应变关系。由质量块和“分数”开尔文元件组成的振荡器用于对基础隔震系统中使用的弹性轴承进行建模。开发了高效的数值多步方案，用于时域中单自由度“分数振荡器”的动态分析。数值例子表明这些多步方案与拉普拉斯和傅立叶解非常一致。当应用于基础隔震桥面振动台试验时，发现分数阶导数模型与实验结果非常吻合。
The concept of fractional derivatives is employed in the formulation of a stress-strain relationship for elastomers. An oscillator consisting of a mass and a ‘fractional’ Kelvin element is used to model elastomeric bearings used in base isolation systems. Efficient numerical multi-step schemes are developed for the dynamic analysis of a single-degree-of-freedom ‘fractional oscillator’ in the time domain. Numerical examples show that these multi-step schemes are in good agreement with the Laplace and Fourier solutions. When applied to shaking table tests of a base-isolated bridge deck, the fractional derivative model is found to agree well with the experimental results.