Optimal FRP reinforcement of masonry walls out-of-plane loaded
Optimal FRP reinforcement of masonry walls out-of-plane loaded
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DOI：
10.1016/j.compstruc.2015.02.004
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发表时间：
2015-06
影响因子：
4.7
通讯作者：
M. Bruggi;G. Milani
中科院分区：
文献类型：
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作者：
M. Bruggi;G. Milani
提出了一种基于拓扑优化的砌体结构纤维钢筋合理布置的新方法。根据以往在钢筋混凝土结构中自动实现拉杆模型的经验，可以实现应变能最小化，以获得任何结构单元的最佳钢筋布局。为了应对砌体的有限强度，最优问题可以方便地重新表述为使任何砌体单元的拉应力低于规定阈值所需的钢筋量最小化。砌体的面外宏观弹性特性和强度域是通过原始的均质化方法推导出来的，该方法依赖于六个常矩单元对任意单元的1/4进行离散化。由于所涉及的变量数量有限，可以快速评估砌体宏观强度域。该准则被实现到拓扑优化算法的多约束离散公式中，以局部控制设计域上的内部动作域。然后将拓扑优化应用于平板和开窗板的最优配筋研究，比较了传统的基于能量的方法和基于应力的方法。
A novel approach for the rational arrangement of fiber reinforcements on masonry structures based on topology optimization is presented. Following previous experiences on the automatic achievement of strut-and-tie models in reinforced concrete structures, the minimization of the strain energy can be implemented to derive optimal layouts of reinforcement for any structural element. To cope with the brickwork limited strength, the optimal problem can be conveniently reformulated as the minimization of the amount of reinforcement that is required to keep tensile stresses in any masonry element below a prescribed threshold. The out-of-plane macroscopic elastic properties and strength domain of brickwork are derived through an original homogenization approach, which relies upon the discretization of 1/4 of any unit cell by six constant moment elements. Thanks to the limited number of variables involved, fast evaluations of masonry macroscopic strength domains can be obtained. This criterion is implemented into the multi-constrained discrete formulation of the topology optimization algorithm, to locally control the internal actions field over the design domain. Topology optimization is then applied to the investigation of the optimal reinforcement of plain and windowed panels, comparing the conventional energy-based method and the proposed stress-based approach.