结构拓扑优化方法在拱式渡槽拱轴线设计中的应用

Continuum topology optimization method for arch axis design of arciform aqueducts

针对拱式渡槽拱轴线的受力特点,建立拱轴线拓扑优化模型,并将结构拓扑优化方法生成的拱式渡槽拱轴线与相同矢跨值的圆弧拱轴线和二次抛物线拱轴线进行了对比.结果表明,由结构拓扑优化方法生成的拱轴线,自重作用下的弯矩值以及相同均布荷载作用下的应力值都比相同矢跨值的圆弧拱轴线和二次抛物线拱轴线小.这说明连续体结构拓扑优化方法可应用于作用荷载相对均匀的拱式渡槽拱轴线设计.

A continuum topology optimization model for arch axes was developed based on their stress characteristics. The arch axis of arciform aqueducts formed by the continuum topology optimization method was compared with the circular arch axis and the parabolic arch axis of the same span. The result shows that the bending moment of the arch axis under the action of self-gravity and its stress under the same uniform-distributed loads obtained by the continuum topology optimization method are smaller than those of other two kinds of arch axes, demonstrating the applicability of the continuum topology optimization method in design of arciform aqueduct arch axes under relatively uniform-distributed loads.