摘要
研究使用第二代计算机代数系统Mathematica对岩土工程中某些理论或公式进行解析解的演绎推导，以嵌岩桩基为例，将其简化为粘弹性半空间桩土相互作用数学模型，计算机经过符号运算、数值计算、绘图和编程四大功能运算，演绎推导结果与Novak的研究结果和实际工程相吻合。
The second algebra system Mathematica is used to deduce analytical solution in some theories of rock engineering in this paper. The method, for example, takes the soil and the pile as a whole system （visco-elastic half-space embedded pile）.Using the method of the continuum mechanics, the nonlinear visco-elastic pile-soil mode is established. Assuming that the pile is a Euler beam with circular cross-section, the visco-elastic material and the soil are composed of two parts： an outer infinite linear visco-elastic zone and an inner nonlinear visco-elastic zone （hollow cylinder）. In the three-dimensional cylindrical coordinates, the boundary value problem and joining condition are presented. The computer with the system Mathematica goes through the four main processes of symbolic operation, numerical calculation, plotting and programming. The results of this method agree well with Novak＇s results.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2005年第A01期4688-4693,共6页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金资助项目（50278051）
上海市重点学科建设项目
关键词
岩土工程
计算机代数系统
解析解
嵌岩桩
桩土相互作用
geotechnical engineering
computer algebra system
analytical solution
embedded pile
interaction of pile-soil
