MATHEMATICAL ENGINEERING TECHNICAL REPORTS Damper Placement Optimization in a Shear Building Model with Discrete Design Variables: A Mixed-Integer Second-Order Cone Programming Approach
MATHEMATICAL ENGINEERING TECHNICAL REPORTS Damper Placement Optimization in a Shear Building Model with Discrete Design Variables: A Mixed-Integer Second-Order Cone Programming Approach
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数学工程技术报告 具有离散设计变量的剪力建筑模型中的阻尼器放置优化：混合整数二阶锥体规划方法
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发表时间：
2012
期刊：
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通讯作者：
Y. Kanno
中科院分区：
文献类型：
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作者：
Y. Kanno
附加减震被认为是改善建筑结构地震反应的一种有效而实用的方法。本文提出了一种在给定的剪力建筑模型中寻找附加阻尼器最优位置的混合整数规划方法。将阻尼器的阻尼系数作为离散设计变量处理。结果表明，层间位移传递函数幅值之和的最小化问题可归结为一个混合整数二阶锥规划问题。然后利用已有的算法求出优化问题的全局最优解。用离散设计变量求解了文献中的两个数值算例。在其中一个例子中，对于连续版本的优化问题，所提出的方法比现有的最陡-体面型方法找到了更好的解。
Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a mixed-integer programming approach to find the optimal placement of supplemental dampers in a given shear building model. The damping coefficients of dampers are treated as discrete design variables. It is shown that a minimization problem of the sum of the transfer function amplitudes of the interstory drifts can be formulated as a mixed-integer second-order cone programming problem. The global optimal solution of the optimization problem is then found with an existing algorithm. Two numerical examples in literature are solved with discrete design variables. In one of these examples, the proposed method finds a better solution than an existing steepest-decent-type method for a continuous version of the optimization problem.