Steady State Response of Infinite Elastic Beam on Viscoelastic Ground Described by Fractional Derivative Model
Soil is regard as viscoelastic material, and the stress-strain relationship of soil is described by fractional derivative Kelvin viscoelastic model, and obtained the expressions of the foundation reaction force and displacement. The motion control equations of the elastic beam with infinite length on foundation described by fractional derivative model are established and the steady response of the beam is investigated. The influence of the order of fractional differential operator on the steady-state response of elastic beam with infinite length is analyzed by numerical example, and some useful results are obtained.
fractional derivative viscoelasticity foundation steady state response
Chen Zhe Yan Qifang
School of Civil Engineering, Xinyang Normal University, Xinyang, 464000 China
国际会议
The Third International Conference on Modelling and Simulation(第三届国际建模、计算、仿真、优化及其应用学术会议 ICMS 2010)
无锡
英文
37-41
2010-06-04(万方平台首次上网日期,不代表论文的发表时间)