Application of Interval Method to the Uncertain Vibration Control Structure

被引：0

作者：

Pei, ChunYan ^{[1
]}

Zhang, YingShuang ^{[1
]}

机构：

[1] Jilin Univ, Coll Mech Sci & Engn, Changchun 130023, Peoples R China

来源：

PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS AND PHYSICS, VOL 2: ADVANCES ON APPLIED MATHEMATICS AND COMPUTATION MATHEMATICS | 2010年

关键词：

vibration control; the second-order systems; uncertain parameters; eigenvalues; interval mathematics;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Interval mathematics is applied to estimate the increments of complex eigenvalues of second-order system with uncertainties. Variations in system parameters due to uncertainties may result in system performance deterioration. The uncertain parameters are described by interval variables. The uncertain property matrices are constructed directly using system physical parameters. The control law uses displacement and velocity feedback matrix determined with independent modal space control(IMSC). By interval extension, the increments of complex eigenvalues for uncertain control structure are developed.

引用

页码：213 / 217

页数：5

共 10 条

[1] Angelova D, 2003, LECT NOTES COMPUT SC, V2907, P112
[2] Chen S, 2007, Matrix Perturbation Theory in Structural Dynamic Design
[3] Interval eigenvalues of closed-loop systerns of uncertain structures
Chen, SH
Zang, XM
Chen, YD
[J]. COMPUTERS & STRUCTURES, 2006, 84 (3-4) : 243 - 253
[4] Interval optimization of dynamic response for structures with interval parameters
Chen, SH
Wu, J
[J]. COMPUTERS & STRUCTURES, 2004, 82 (01) : 1 - 11
[5] Convexity of the first eigenfunctions of Sturm-Liouville eigenvalue problems
Chu, CP
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (01) : 237 - 245
[6] Improving interval analysis in finite element calculations by means of affine arithmetic
Degrauwe, D.
Lombaert, G.
De Roeck, G.
[J]. COMPUTERS & STRUCTURES, 2010, 88 (3-4) : 247 - 254
[7] INTERVAL-ANALYSIS OF VIBRATING SYSTEMS
DIMAROGONAS, AD
[J]. JOURNAL OF SOUND AND VIBRATION, 1995, 183 (04) : 739 - 749
[8] Moore R.E., 1966, INTERVAL ANAL
[9] Application of fuzzy expert system to estimate dimensional errors of forging products having complicated shape
Park, K. S.
Kim, B. J.
Moon, Y. H.
[J]. JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2007, 187 : 720 - 724
[10] Interval observers for biochemical processes with uncertain kinetics and inputs
Rapaport, A
Dochain, D
[J]. MATHEMATICAL BIOSCIENCES, 2005, 193 (02) : 235 - 253

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