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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

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.

Original language	English
Pages (from-to)	303-308
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	7
Issue number	3
DOIs	https://doi.org/10.1016/0960-0779(95)00087-9
State	Published - Mar 1996
Externally published	Yes

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title = "Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis",

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.",

author = "Zhiping Qiu and Suhuan Chen and Isaac Elishakoff",

year = "1996",

month = mar,

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T1 - Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis

AU - Qiu, Zhiping

AU - Chen, Suhuan

AU - Elishakoff, Isaac

PY - 1996/3

Y1 - 1996/3

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.

UR - https://www.scopus.com/pages/publications/0007485260

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

VL - 7

SP - 303

EP - 308

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 3

ER -

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

Abstract

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