基于能控性和能观性的基础隔振装置的优化配置

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (17) : 100-104.

论文

基于能控性和能观性的基础隔振装置的优化配置

王玉梅

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Optimal Placement of Base Isolation Devices Based on Controllability and Observability

WANG Yu-mei

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文章历史 +

摘要

本文根据控制理论中的能控性和能观性概念，把基础隔振装置视为对结构施以被动控制力的控制器，从而把隔振装置的位置最优化问题转化为控制器位置的选优问题，构造了一个反映能控性和能观性的位置指数，对位置指数的正则化、相关系数等问题进行了研究，并把上述方法应用到一个benchmark问题实例中，对隔振垫的可能布置点的指数进行了计算，选出了13个最优位置。该方法为土木工程的减隔振最优化问题提供了一个新视角。

Abstract

Based on the controllability and observability concepts in control theory, and taking the isolation devices as the passive controller which input the passive control forces to the structures, this paper solves the problem of optimal placement of isolators as the problem of optimal placement of controllers. A placement index that can reflect the controllability and observability is constructed, and problems regarding the normalization and correlation of the index are studied. The methodology is then applied to a benchmark problem example, for which the indices of the isolators’ locations are calculated, and 13 optimal locations are determined. This methodology provides a new view for similar optimal problems in civil engineering.

导出引用

王玉梅. 基于能控性和能观性的基础隔振装置的优化配置[J]. 振动与冲击, 2014, 33(17): 100-104

WANG Yu-mei. Optimal Placement of Base Isolation Devices Based on Controllability and Observability[J]. Journal of Vibration and Shock, 2014, 33(17): 100-104