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一种确定压电传感器位置的拓扑优化方法
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O329

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国家自然科学基金资助项目(59675018) ;吉林省自然科学基金资助项目( 19990503 - 2)


A Topological Optimal Method of Determining Locations of The Piezoelectric Sensors
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    摘要:

    基于可观矩阵奇异值单元灵敏度的思想,提出了确定智能压电传感器安放位置的一种拓扑优化方法。为了获得智能结构压电传感器的优化位置,首先采用有限元方法对原系统进行了特征问题分析;第二利用奇异值分解法讨论了智能结构模态可观性的度量问题;第三推导了可观矩阵奇异值单元灵敏度公式;第四以奇异值单元灵敏度作为度量和准则并且给出一个门槛值,根据门槛值可以确定压电传感器优化位置;最后利用算例来说明本文方法的有效性。

    Abstract:

    On the basis of element sensitivities of the observab1e matrix singu1ar - values , a technique to determine the locations of piezoe1ectric sensors of intelligent structures is presented in this paper. In order to obtain optima1 locations of sensors of intelligent structures , steps are taken as follows: firstly , a modal analysis of the initial structure is carried out with piezoelectric sensors on the given domain ; secondly , the observable modes corresponding to singular - values are taken with the singular - value decomposition method; thirdly , formulation of the e1ement sensitivity of the singular - value of controllability is developed; fourthly , the element sensitivity of the singu1ar - va1ues is chosen as the measure and the criterion to determine optima11ocations of sensors. A threshold va1ue is given and optimal produce is presented to determine which sensor e1ement needs to be kept/removed based on the sensitivity information. Locations of sensors are determined as the point where the element sensitivities of the singu1ar - va1ues are maximum. One numerica1 examp1e is taken to illustrate the app1ications of the present method.

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曹宗杰, 梁建民.一种确定压电传感器位置的拓扑优化方法[J].空军工程大学学报,2001,(5):80-82

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  • 在线发布日期: 2015-11-19
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