4.6 Article

Settlement Analysis of Fractional-Order Generalised Kelvin Viscoelastic Foundation under Distributed Loads

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APPLIED SCIENCES-BASEL
卷 13, 期 1, 页码 -

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MDPI
DOI: 10.3390/app13010648

关键词

fractional derivative; viscoelastic model; correspondence principle; parametric analysis; parametric-sensitivity analysis; displacement back analysis

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A solution is proposed for ground surface settlement induced by distributed loads in fractional-generalised Kelvin semi-infinite space using fractional differential theory. The effects of four main parameters on the settlements are analysed, and a parametric-sensitivity analysis is conducted. The results show that the fractional-order generalised Kelvin model is more flexible and sensitive than the conventional integer-order model, and it can accurately describe the rock's rheological behaviour.
A solution is proposed for ground surface settlement induced in fractional-generalised Kelvin semi-infinite space by distributed loads, based on the fractional differential theory. The effects of four main parameters-the differential order, the two shear moduli and the coefficient of viscosity-on the settlements are analysed using a numerical example, and a parametric-sensitivity analysis is conducted. The results show that the fractional-order generalised Kelvin model is more flexible than the conventional integer-order generalised Kelvin model since it can account for the rate of the deceleration creep phase; therefore, a wider range of mechanical properties of viscoelastic materials can be described with fewer parameters, and the differential order has a higher sensitivity than the other three parameters. Finally, the model is used to identify and fit the parameters to the data of the field-bearing plate rheological tests. The fit results of the fractional-order generalised Kelvin model, unlike those of the integer-order generalised Kelvin model, are closer to the measured results and can more accurately describe the rock's rheological behaviour at the test location.

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