Optimal actuator placement for control of vibrations induced by pedestrian-bridge interactions

IF 0.4 Q4 MATHEMATICS, APPLIED
Martin Arop, H. Kasumba, Juma Kasozi, F. Berntsson
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引用次数: 0

Abstract

In this paper, an optimal actuator placement problem, with a linear wave equation as the constraint, is considered. In particular, this work presents the framework for finding the best location of actuators depending upon the given initial conditions, and where the dependence on the initial conditions is averaged out. The problem is motivated by the need to control vibrations induced by pedestrian-bridge interactions. An approach based on the shape optimization techniques is used to solve the problem. Specifically, the shape sensitivities involving a cost functional are determined using the averaged adjoint approach. A numerical algorithm based on these sensitivities is used as a solution strategy. Numerical tests illustrate the theoretical results.
控制行人-桥梁相互作用引起的振动的最佳驱动器位置
本文研究了以线性波动方程为约束的最优作动器布置问题。特别是,这项工作提出了根据给定初始条件找到执行器最佳位置的框架,并且对初始条件的依赖被平均掉。这个问题的动机是需要控制行人与桥梁相互作用引起的振动。采用基于形状优化技术的方法来解决这一问题。具体而言,使用平均伴随方法确定涉及成本函数的形状灵敏度。采用基于这些灵敏度的数值算法作为求解策略。数值试验验证了理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
0
审稿时长
21 weeks
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