饱和土一维简谐响应解析解的求解和应用I 求解  

Analytical solution of 1-D harmonic response in saturated soil

作　　者：杨军[1] 宋二祥[1] 陈肇元[1] 

机构地区：[1]清华大学土木工程系,北京100084

出　　处：《岩土力学》2003年第4期505-509,共5页Rock and Soil Mechanics

基　　金：国家自然科学基金资助项目(50078030)

摘　　要：对于饱和土一维简谐响应的u-w和u-p方程,通过消元分别将二阶微分方程组变为一个四阶的微分方程。求解此微分方程则得到一维简谐响应的通解。对于特定的边值问题,通过求解描述边界条件的线性方程组得到满足边界条件的解析解。此解析解可用于饱和土动力响应研究的诸多方面。For the u-w and u-p formulations of 1-D harmonic response in saturated soil, a fourth order equation can be derived through these second order equations by elimination. General solution can be derived by solving this fourth order equation. For a special boundary value problem, analytical solution, which satisfies the boundary conditions, can be reached by solving the linear equations that include these boundary conditions. This analytical solution can be used in several research aspects of dynamic response in saturated soil.

关 键 词：饱和土 一维简谐响应 解析解 u-w方程 u-p方程 边值问题 土动力学 

分 类 号：TU435[建筑科学—岩土工程]