Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis

Zhiping Qiu; Suhuan Chen; Isaac Elishakoff

doi:10.1016/0960-0779(95)00087-9

Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis

Zhiping Qiu^*
, Suhuan Chen
, Isaac Elishakoff

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

In this paper, we present a method for computing upper and lower bounds of natural frequencies of the structures with uncertain parameters. These parameters are unknown except for the fact that they belong to given bounded sets. The set of possible system states can be described by interval matrices. By solving the interval matrix problem, we obtain the bounds on frequencies of the structure. The numerical results demonstrates the efficacy of the method.

源语言	英语
页（从-至）	303-308
页数	6
期刊	Chaos, Solitons and Fractals
卷	7
期	3
DOI	https://doi.org/10.1016/0960-0779(95)00087-9
出版状态	已出版 - 3月 1996
已对外发布	是

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abstract = "In this paper, we present a method for computing upper and lower bounds of natural frequencies of the structures with uncertain parameters. These parameters are unknown except for the fact that they belong to given bounded sets. The set of possible system states can be described by interval matrices. By solving the interval matrix problem, we obtain the bounds on frequencies of the structure. The numerical results demonstrates the efficacy of the method.",

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N2 - In this paper, we present a method for computing upper and lower bounds of natural frequencies of the structures with uncertain parameters. These parameters are unknown except for the fact that they belong to given bounded sets. The set of possible system states can be described by interval matrices. By solving the interval matrix problem, we obtain the bounds on frequencies of the structure. The numerical results demonstrates the efficacy of the method.

AB - In this paper, we present a method for computing upper and lower bounds of natural frequencies of the structures with uncertain parameters. These parameters are unknown except for the fact that they belong to given bounded sets. The set of possible system states can be described by interval matrices. By solving the interval matrix problem, we obtain the bounds on frequencies of the structure. The numerical results demonstrates the efficacy of the method.

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U2 - 10.1016/0960-0779(95)00087-9

DO - 10.1016/0960-0779(95)00087-9

M3 - 文章

AN - SCOPUS:0007485260

SN - 0960-0779

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JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

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Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis

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