TLCD Parametric Optimization for the Vibration Control of Building Structures Based on Linear Matrix Inequality
Joint Authors
Huo, Linsheng
Li, Hong-Nan
Qu, Chunxu
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Passive liquid dampers have been used to effectively reduce the dynamic response of civil infrastructures subjected to earthquakes or strong winds.
The design of liquid dampers for structural vibration control involves the determination of the optimal parameters.
This paper presents an optimal design methodology for tuned liquid column dampers (TLCDs) based on the H∞ control theory.
A practical structure, Dalian Xinghai Financial Business Building, is used to illustrate the feasibility of the optimal procedure.
The model of structure is built by the finite element method and simplified to the lumped mass model.
To facilitate the design of TLCDs, the TLCD parametric optimization problem is transferred to the feedback controller design problem.
Through the bounded real lemma, an optimization problem with bilinear matrix inequality (BMI) constraints is constructed to design a static output feedback H∞ controller.
Iterative linear matrix inequality method is employed and it added some value range constraints to solve the BMI problem.
After the TLCD parameters are optimized, the responses of displacement and acceleration in frequency domain and time domain are compared for the structure with and without TLCD.
It is validated that the TLCD with the optimized parameters can make the structure satisfy the need for safety and comfort.
American Psychological Association (APA)
Huo, Linsheng& Qu, Chunxu& Li, Hong-Nan. 2014. TLCD Parametric Optimization for the Vibration Control of Building Structures Based on Linear Matrix Inequality. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-478809
Modern Language Association (MLA)
Huo, Linsheng…[et al.]. TLCD Parametric Optimization for the Vibration Control of Building Structures Based on Linear Matrix Inequality. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-478809
American Medical Association (AMA)
Huo, Linsheng& Qu, Chunxu& Li, Hong-Nan. TLCD Parametric Optimization for the Vibration Control of Building Structures Based on Linear Matrix Inequality. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-478809
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478809