粘滞阻尼器抗震加固的失效安全优化
Fail-safe optimization of viscous dampers for seismic retrofitting
摘要：
本文提出了一种新的优化方法，用于设计最小成本的故障-安全分布的流体粘滞阻尼器的抗震加固。故障被建模为完全损坏的阻尼器或阻尼器的性能的部分退化。通常，这会导致具有大量约束的优化问题。因此，提出了使用工作集优化算法。其主要思想是解决一系列放松的优化子问题的一个小的子集的所有约束。一旦找到满足问题的所有约束的子问题的解，算法终止。在对框架结构周边层间位移进行约束的条件下，使改造费用最小。所考虑的结构受到一个现实的合奏地面运动，其响应进行评估与时程分析。基于梯度的序列线性规划算法有效地解决了瞬态优化问题。响应函数的梯度是通过一致的伴随灵敏度分析程序计算的。提出并讨论了三维不规则框架所获得的有希望的结果。数值结果突出了这样一个事实，即优化的布局和尺寸的阻尼器可以显着变化，即使是中等程度的损坏。
英文摘要：
This paper presents a new optimization approach for designing minimum-cost fail-safe distributions of fluid viscous dampers for seismic retrofitting. Failure is modeled as either complete damage of the dampers or partial degradation of the dampers' properties. In general, this leads to optimization problems with large number of constraints. Thus, the use of a working-set optimization algorithm is proposed. The main idea is to solve a sequence of relaxed optimization sub-problems with a small sub-set of all constraints. The algorithm terminates once a solution of a sub-problem is found that satisfies all the constraints of the problem. The retrofitting cost is minimized with constraints on the inter-story drifts at the peripheries of frame structures. The structures considered are subjected to a realistic ensemble of ground motions, and their response is evaluated with time-history analyses. The transient optimization problem is efficiently solved with a gradient-based sequential linear programming algorithm. The gradients of the response functions are calculated with a consistent adjoint sensitivity analysis procedure. Promising results attained for 3-D irregular frames are presented and discussed. The numerical results highlight the fact that the optimized layout and size of the dampers can change significantly even for moderate levels of damage.
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