涉及恒载和活载的桥梁结构拓扑优化设计

桥梁结构一般受到恒载和活载的作用，在其结构的拓扑优化过程中必须考虑载荷的变化．为了解决桥梁结构拓扑优化的应用问题，首先给出了桥梁结构的优化数学模型，结构活载采用效率活载替代；而后导出了涉及桥梁结构恒载和活载的多载荷工况的位移灵敏度公式，建立了考虑应力和位移要求的多约束三维结构优化算法．给出的两个拱桥仿真算例验证了方法的有效性和正确性．

Bridge design of structural topology optimization under the dead load and the live load

The bridge structures generally work under the dead load and the live load. In the structural topology optimization process, the change of dead load must be considered. In order to solve the application problem of the bridge structural topology optimization, a mathe-matical optimization model of bridge structures is given. Structural living load is replaced by the corresponding efficient living load. Then, formula concerning the displacement sensitivity is given, which involves the bridge structural dead load and the live load for multiple load cases. A three dimensional structural optimization algorithm with multiple constraints has been established, considering stress and the displacement requirements. The effectiveness and validity of the proposed method are demonstrated by two arched bridge simulation examples.