In this paper, a mathematical model for integral optimization design of pier shaft and its foundation is given, and the SLP method and duality theory are applied here to have a optimal solution.
本文给出了重力式桥墩与明挖基础整体优化设计的数学模型，选择序列线性规划法，并利用线性规划的对偶理论求最优解。
Then in the foundation of tolerance mathematical definition theory, each tolerance zone's mathematical model was established by inequality based on degrees of feature.
然后，在公差数学定义理论的基础，基于要素的自由度分析，采用不等式约束方程的形式建立各公差带的数学模型。
In the teaching of Finite Element Method, mathematical theory is the foundation, engineering application is the ultimate object and theory must be connected with practice through teaching process.
在《有限元方法》的教学中，数学理论分析是基础，工程应用是最终目标，理论联系实践应贯穿教学的全过程。
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