摘要
饱和土体非线性一维固结问题的求解方法较多,为了评价诸多方法的适用条件,对几种常用的非线性一维固结问题的求解方法进行了分析研究。基于Davis等提出的非线性固结方程,利用Laplace变换、矩阵传递法以及Laplace逆变换进行了处理;得到成层饱和地基在荷载随时间变化情况下的一维非线性解析解的求解方法,并给出快速求解初值问题(或边值问题)的数值方法(DQM法)以及Kirchhoff变换法和摄动法的求解思路。分析结果表明,这些方法各有自己的特点,可以满足不同的求解条件,是求解非线性问题的有效工具。
Some analytical methods for the nonlinear consolidation of layered saturated soils under the time-dependent loading are studied comparatively.Based on the governing equations proposed by Davis,an analytical method is deduced by using Laplace transform method and the matrix transfer technique firstly.Besides,the differential quadrature method（i.e.DQM）,Kirchhoff transform method and the perturbation method are also introduced here.The analytical results show that these methods can be used in various conditions,and are very efficient for solving the nonlinear consolidation of layered saturated soils.
出处
《水利与建筑工程学报》
2010年第1期27-29,34,共4页
Journal of Water Resources and Architectural Engineering
关键词
饱和土体
非线性固结
随时间
变化荷载
控制方程
saturated soil
nonlinear consolidation
time-dependent loading
governing equation
