拱坝三次样条曲线拱圈线型及优化研究

Study on cubic spline outline of arch dam & optimization for it

建立拱坝拱圈三次样条曲线模型,根据非线性规划可行域与最优解的理论,比较了抛物线、椭圆、双曲线和三次样条曲线线型的优劣,并采用复合形法对这些线型的拱圈进行了优化。结果表明,三次样条曲线拱圈最优。

The cubic spline outline of arch dam is formulated, according to the theory of feasible region and optimum solution of nonlinear programming, the strong point and weak point of the parabolic, elliptic, hyperbolic and cubic spline curves are compared between each other, the outlines of arch dam expressed by these curves are optimized by composite graphic processing, the result shows that the cubic spline outline is the best.