有限厚度各向同性饱和土地基上无限长梁的动力响应研究  

Dynamic response of infinite length beam overlying on isotropic saturated soil foundation with finite thickness

作　　者：张引科[1] 袁瑞星[1] 昝会萍[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《西安建筑科技大学学报（自然科学版）》2013年第2期269-274,共6页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：陕西省自然科学基础研究基金资助项目(2011JM8022)

摘　　要：以Boit弹性饱和多孔介质理论及Euler-Bernoulli弹性梁理论为基础,应用Fourier变换,采用逐次去耦消元方法,求解了各向同性饱和土地基动力响应基本微分方程组;建立了有限厚度各向同性饱和土地基与无限长梁动力相互作用的控制方程,给出了方程的解;通过数值计算,研究了简谐荷载作用下梁的动力响应,分析了地基厚度及地基与梁的参数对梁挠度动力响应的影响.Based on the Boit＇s theory of saturated porous media and Euler-Bernoulli theory of elastic beam, the basic differential equations of isotropic saturated soil foundation with finite thickness was solved by using the Fourier transform and successive elimination method. The control equation of dynamic interaction between finite thickness soil foundation and infinite beam was established, and the solution was obtained. On this basis, through numerical computation, the dynamic interaction between the infinite beams and the saturated soil foundation with finite thickness under harmonic loads was analyzed. And the influences of the soil foundation thickness and the parameters of beam and foundation soil on the beam deflection were also systematically studied.

关 键 词：有限厚度 各向同性饱和土地基 无限长梁 动力响应 FOURIER变换 

分 类 号：O343.3[理学—固体力学]