移动载荷黏弹性Pasternak地基梁动力学响应  

Dynamic Response of Pasternak Beams on Viscoelastic Foundations to Moving Load

作　　者：时伉丽[1] 丁虎[1] 陈立群[1,2] 储德林[3] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072 [2]上海大学理学院,上海200444 [3]应用物理研究所陆军军官学院,合肥230031

出　　处：《上海大学学报（自然科学版）》2012年第6期617-621,共5页Journal of Shanghai University:Natural Science Edition

基　　金：国家杰出青年科学基金资助项目(10725209);国家自然科学基金资助项目(10902064);上海市重点学科建设资助项目(S30106);上海市青年科技启明星计划资助项目(11QA1402300);上海市教委科研创新资助项目(12YZ028)

摘　　要：通过积分变换研究移动载荷激励下无限长黏弹性Pasternak地基梁在复数域上的封闭解.通过二维Fourier变换得到梁变形的Green函数,再运用Fourier逆变换得到梁变形的积分表达式,对解析表达式应用留数定理得到系统在复数域上的封闭解.数值研究梁和地基的参数对梁变形的影响,表明Pasternak基础中的黏性和剪切力对梁变形的影响明显.采用样条插值对积分解析表达式求数值解,验证封闭解的有效性.Dynamic response of Pasternak beams on viscoelastic foundations to a moving load is proposed by integral transformation in this paper. The Green＇ s function of the beam is obtained by means of two- dimensional Fourier transform. Deflection of the beam is represented using inverse Fourier transform. The theorem of residue is then applied to represent the generalized integral in the form of contour integral in the complex plane. Studies on the influence of parameters of beam and subgrade are provided with illustrations. It is clear that viscosity and shear modulus of subgrade have deflection of the beam. Numerical solution to the integral expression is studied showing that the obtained closed-form solution is correct. significant with spline effect on the interpolation,

关 键 词：黏弹性地基 梁 移动载荷 二维Fourier变换 留数定理 

分 类 号：O32[理学—一般力学与力学基础]