结构拓扑优化理论及其在桥梁结构找型中的应用

Structural Topology Optimization Theory and Its Application in Form Finding of Bridges

摘要:

从物理模型、数学模型和优化算法三个方面系统阐述了结构拓扑优化的基本原理.通过实例介绍了应用拓扑优化技术进行桥梁结构找型的方法，并展示了拓扑优化中结构衍化过程及优化结果.针对目前结构拓扑优化技术运用在桥梁找型中所面临的困难，探讨了未来研究的方向.研究表明,结构拓扑优化方法可以在桥梁概念设计阶段得出合理而新颖的结构形式，在桥梁找型方面具有良好的应用前景.

Abstract:

First, the physical model, the mathematic model and the algorithm of structural topology optimization was stated. Next, the application of topology optimization in form finding of bridges is elaborated via some examples, and the evolution process and the final layout of structural topology optimization were presented. Finally, some issues of future research were suggested to improve the application of topology optimization in form finding of bridges. The result shows that structural topology optimization can derive a reasonable and heuristic layout in the conceptual design phase, and has a promising prospect in form finding of bridges.