《Earthquake Engineering and Structural Dynamics》杂志刊登“利用耗能阻尼器对线性和非线性非对称结构进行最优控制”

作者：J. J. Aguirre,J. L. Almazán,C. J. Paul

刊物：《Earthquake Engineering and Structural Dynamics》，2013年，42卷第3期，377-395页

关键词：扭转平衡；非线性分析；非对称结构；能量耗散；坐标下降法

摘要：在地震荷载作用下，非对称结构需要在不同的平面和层间上产生不同变形。结构的损伤主要集中在结构完整性破坏的单元中。由于建筑和材料性能的限制，该类结构广泛存在于专业实践中。本方案利用能量耗散装置（EDD）提出了一种平衡和减少结构损伤的合理方法。很多文献提到了装有能量耗散装置（EDD）的线性结构程序设计，但对于非线性系统空间分布的最优控制问题始终没有解决。本文对比并评价了线性和非线性系统的阻尼器空间布置的最优控制问题。提出了一种基于控制指标的优化算法，该算法命名为最小-最大算法。并将该技术与以下两种简单方法进行了比较，这两种简单的方法即：⑴全应力设计，是一种分析-再设计程序；⑵简化顺序搜索法（SSSA），是一种顺序法。其中简化顺序搜索法是一种固定分析步坐标下降法。实例研究表明，无论是对于装有线性或非线性耗能装置（EDD）的线性与非线性结构，简化顺序搜索法（SSSA）是对于最小-最大算法的一种离散逼近。计算结果表明，耗能装置（EDD）的线性分析是对非线性最优控制的很好近似。因此，简化顺序搜索法（SSSA）是一种能获得设计位移并扭转平衡的可靠方法，其在专业实践中可方便使用。

Optimal control of linear and nonlinear asymmetric structures by means of passive energy dampers

Authors: J. J. Aguirre,J. L. Almazán,C. J. Paul

Journal: Earthquake Engineering and Structural Dynamics, Volume 42, Issue 3, pages 377–395, March 2013

Key words: torsional balance; nonlinear analysis; asymmetric structures; energy dissipation; coordinate descent method

Abstract: Asymmetric structures experience uneven deformation demand among different resisting planes and stories when subjected to earthquake excitation. Damage is focused in some elements jeopardizing structural integrity. These structures are common in professional practice because of architectural and functionality constraints. In this scenario the use of energy dissipation devices (EDD) has arisen as an advisable solution to balance and minimize structural damage. Procedures for the design of linear structures equipped with EDD have been widely proposed in the literature, few of them deal with the optimum spatial distribution of nonlinear systems. This paper evaluates and compares the optimized spatial damper distribution of linear and nonlinear systems. An optimization technique is presented based on control indexes called min–max algorithm. Then, this technique is compared with two simple methodologies: (i) the fully stressed design, which is an analysis-redesign procedure, and (ii) the simplified sequential search algorithm (SSSA), which is a sequential method. It is pointed out that the SSSA is a fixed step coordinate descent type method. The examples considered show that the SSSA is a discrete approximation of the min–max algorithm, not only for linear but also for nonlinear structures equipped with linear and nonlinear EDD. Furthermore, it is found that the distribution of EDD obtained from a linear analysis is a good approximation of the nonlinear optimal solution. The SSSA is a reliable method that can be applied to achieve drift and torsional balance for design purposes; moreover, it can be implemented with conventional tools available in professional practice.

原文链接：http://onlinelibrary.wiley.com/doi/10.1002/eqe.2211/abstract