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针对混合梁斜拉桥的结构特点,提出基于有效约束集法的混合梁斜拉桥合理成桥状态优化方法。以混合梁斜拉桥主梁、桥塔的弯曲及拉压能量之和为目标函数,以钢箱梁段竖向位移、桥塔水平位移、主梁上下缘及桥塔两侧应力、斜拉索索力及其均匀性为约束条件,建立混合梁斜拉桥合理成桥状态的二次规划数学模型,采用有效约束集算法进行合理成桥状态的优化。实例优化及比较结果显示,优化所得成桥状态,主梁竖向位移-22~8 mm,桥塔塔顶水平位移为向主跨侧偏20 mm,结构整体线形平顺;钢箱梁上下缘及钢桥塔两侧应力为-84.43~16.38 MPa,混凝土主梁上下缘及混凝土桥塔两侧应力为-16.31~-0.003 MPa,结构内力及应力均与无约束最小弯曲能量法计算结果相近;斜拉索索力为2061~2457 k N,其分布比无约束最小弯曲能量法的计算结果更均匀,且边墩具有更大的压力储备,表明该方法的有效性和优越性。
Aiming at the structural characteristics of hybrid cable - stayed bridge, a method based on the effective constraint set method is proposed to optimize the bridge state of the hybrid cable - stayed bridge. Taking the sum of bending and tensioning energy of bridge girder and bridge tower as the objective function, the vertical displacements of the steel box girder section, the horizontal displacement of the bridge tower, the upper and lower edges of the main girder and the stress and strain of both sides of the bridge tower Suo Suo force and its uniformity as constraints, the mathematical model of the quadratic programming of the hybrid bridge girder bridge reasonable state of the bridge is established, and the effective constraint set algorithm is used to optimize the bridge state. The results of optimization and comparison show that the vertical displacement of the main girder is -22 ~ 8 mm and the horizontal displacement of the top of the tower is 20 mm to the main span. The overall structure of the bridge is smooth. The upper and lower edges of the steel girder The stress on both sides of the steel bridge tower is -84.43 ~ 16.38 MPa, the stress on the upper and lower edges of the concrete main beam and on both sides of the concrete bridge tower is -16.31 ~ -0.003 MPa, and both the internal force and stress of the structure are similar to those of the unconstrained minimum bending energy method. The cable force is 2061 ~ 2457 kN, the distribution is more uniform than the unconstrained minimum bending energy method, and the edge pier has a larger pressure reserve, indicating the effectiveness and superiority of the method.