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| Research on fractional order models of rock rheology |
| Received:January 29, 2016 Revised:June 15, 2016 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201702021 |
| KeyWord:rock fractional order rheology fitting frequency range parameters identification |
| Author | Institution |
| 张杰 |
湖南省水利水电科学研究所 长沙 |
| 魏永强 |
湖南省水利水电科学研究所 长沙 |
| 仇学明 |
湖南省水利水电科学研究所 长沙 |
| 石贤增 |
合肥市市政设计院有限公司 合肥 |
| 周星德 |
河海大学 土木与交通学院 南京 |
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| Abstract: |
| In the paper, the Kelvin rheological model is utilized as research object, and a Kelvin model with fractional order(FO) is suggested. First, the integer order(IO) derivative of the model is replaced by a fractional order one. The fitting frequency range of FO model is determined considering that the fundamental natural frequency of common rock is lower than 1000 Hz. And then the FO mode is transferred into IO one by Ouslop filter algorithm. Secondly, experimental data are used to identify the unknown parameters in the FO model, and Levenberg-Marquardt algorithm is adopted to solve the strong nonlinear equations. Thirdly, a precise expression is acquired by Laplace inverse transformation. Finally, an example is used to show the efficiency of presented method. |