基于分数导数粘弹性模型的地基梁位移分析  

Displacement Analysis of Ground and Beam Based on Fractional Derivative Viscoelastic Model

作　　者：闫启方[1] 王述超[1] 刘磊[1] 

机构地区：[1]信阳师范学院土木工程学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2010年第1期104-108,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：河南省自然科学基金项目(0511045200)

摘　　要：基于分数导数理论、粘弹性理论建立了地基-梁的控制方程,并利用分数导数的性质得到了方程的解析解,分析了分数微分算子的阶数和地基梁的模量比对梁位移以及位移随时间变化规律的影响.研究表明分数微分算子的阶数和地基梁的模量比对地基梁的位移有较大的影响,采用经典粘弹性模型时不能很好地反映地基梁变形的长期效应.The governing equations of ground-beam based on the theory of fractional derivative and viscoelastic theory was given.The analytical solution was obtained by the properties of fractional derivative.The influences of the exponent number of fractional operator and modulus ratio of ground and beam on displacements and time varying rule of displacement were investigated.Results indicated that exponent number of fractional operator and modulus ratio had great influences on the displacement of groud-beam.Classical viscoelastic model can＇t reflect the long-term effects of the deformation of ground beam.

关 键 词：地基梁 粘弹性 分数导数 长期效应 

分 类 号：TH113.1[机械工程—机械设计及理论]