【摘要】 本文求解了层状粘弹性饱和土地基与上部结构共同作用问题。对Biot固结方程引入McNamee位移函数,并进行Laplace-Hankel变换,建立了单层饱和土的初始函数和半空间饱和土的刚度矩阵,得到层状地基的递推矩阵。利用递推矩阵、子结构法、薄板理论、边界条件、变形协调条件可以建立共同作用的基本方程并进行求解。本文通过算例分析验证了本方法的正确性,并分析研究了下卧软弱层对基础沉降和上部结构内力的影响。更多还原

【Abstract】 The problem of the interaction betwe en the superstructure and layered visco-elastic saturated subsoil has b een solved in this paper.By employing th e McNamee’s displacement functions and performing Laplace-Hankel tran sforms to the Biot s consolidation equations,the initial function of single layered saturated soil and the stiffness matrix of half-space saturated soil can be established.Thus the transfer matrix f or the layered soil is available.The governing equations of interaction can be esta blished and solved by applying the tr ansfer matrix,the substructure method,the thin plate theory,the boundary conditio ns and the deformation compatibility conditions.The analysis of exampl es proves that this method is correct.Besides,the effect on the settlement of foundation and internal force of superstructure caused by the soft subsoil is analyzed as well.更多还原