Dynamic Interaction of Viscoelastic Soil and Fractional Derivative Type Lining with a Circular Tunnel

Abstract:

Coupled harmonic vibration of viscoelastic soil and fractional derivative type lining system with a deeply buried circular tunnel is investigated in the frequency domain. Based on theory of elastic and fractional derivative, steady state response of the viscoelastic soil and lining system is studied. Regarding the lining as a medium with fractional derivative constitutive behavior, and the analytical expressins of the displacement and stress of the soil and lining are respectively obtained by the continuity conditions on the inner boundary of lining and the interface between the soil and the lining. The order of fractional derivative model has a greater influence on system dynamic response, and it dependent on the material parameters of lining. With the frequency increasing, the resonance effects of system decrease.

• Periodical: Applied Mechanics and Materials (Volumes 170-173)
• Pages: 1542-1545
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.170-173.1542
• Online since: May 2012
• Authors: Min Jie Wen, Zi Ping Su, Hui Tuan He
• Keywords: Fractional Derivative, Lining Structure, Parameters Study, Steady State Response, Viscoelastic Soil

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