Time History Analysis of Frame Structure Systems by State-space Representation Method
This paper develops the state-space representation (SSR) in the field of seismic analysis of the building structures. Dynamic analysis of multi-degree-of-freedom structures involves the solution of second-order linear differential equations which they represent the equation of motion of the structur...
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| Format: | Article |
| Language: | English |
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Erbil Polytechnic University
2020-06-01
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| Series: | Polytechnic Journal |
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| Online Access: | https://polytechnic-journal.epu.edu.iq/home/vol10/iss1/24 |
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| author | Barham H. Ali Brwa Ahmad Saeed Twana A. Hussein |
| author_facet | Barham H. Ali Brwa Ahmad Saeed Twana A. Hussein |
| author_sort | Barham H. Ali |
| collection | DOAJ |
| description | This paper develops the state-space representation (SSR) in the field of seismic analysis of the building
structures. Dynamic analysis of multi-degree-of-freedom structures involves the solution of second-order
linear differential equations which they represent the equation of motion of the structure. In this paper,
a SSR was formulated to replace differential equation with two coupled first-order linear differential
equations. The objectives of this study are as follows: (i) To implement the SSR as a powerful tool
in dynamic analysis of frame structures and (ii) to conduct a linear time history analysis for large
structures subjected to ground acceleration and the seismic responses of the building were studied as
well. The analysis was based on the assumption that the system is elastic linear time-invariant system
and material nonlinearity is not considered. The 1940 El-Centro earthquake time history record has
been used in the study. There are many effective traditional methods which can be used for carrying
out linear dynamic analysis of the structures, however, this paper introduces a state-space model as
an alternative approach to perform this analysis. The advantage of this method, it works properly with
MATLAB software, gives explicit result for time-invariant systems, applied to multi-input and multioutput control systems, solve the equation of motion for complicated dynamic problems. |
| format | Article |
| id | doaj-art-31dbfe32a0324c8dbab33f844ecffdc2 |
| institution | Kabale University |
| issn | 2707-7799 |
| language | English |
| publishDate | 2020-06-01 |
| publisher | Erbil Polytechnic University |
| record_format | Article |
| series | Polytechnic Journal |
| spelling | doaj-art-31dbfe32a0324c8dbab33f844ecffdc22025-08-20T03:55:01ZengErbil Polytechnic UniversityPolytechnic Journal2707-77992020-06-01101140147https://doi.org/10.25156/ptj.v10n1y2020.pp140-147Time History Analysis of Frame Structure Systems by State-space Representation MethodBarham H. Ali0Brwa Ahmad Saeed1Twana A. Hussein2Department of Civil Engineering, Faculty of Engineering, Tishk International University, Erbil, Kurdistan Region, IraqDepartment of Civil Engineering, Faculty of Engineering, Tishk International University, Erbil, Kurdistan Region, Iraq,Department of Civil Engineering, Faculty of Engineering, Tishk International University, Erbil, Kurdistan Region, IraqThis paper develops the state-space representation (SSR) in the field of seismic analysis of the building structures. Dynamic analysis of multi-degree-of-freedom structures involves the solution of second-order linear differential equations which they represent the equation of motion of the structure. In this paper, a SSR was formulated to replace differential equation with two coupled first-order linear differential equations. The objectives of this study are as follows: (i) To implement the SSR as a powerful tool in dynamic analysis of frame structures and (ii) to conduct a linear time history analysis for large structures subjected to ground acceleration and the seismic responses of the building were studied as well. The analysis was based on the assumption that the system is elastic linear time-invariant system and material nonlinearity is not considered. The 1940 El-Centro earthquake time history record has been used in the study. There are many effective traditional methods which can be used for carrying out linear dynamic analysis of the structures, however, this paper introduces a state-space model as an alternative approach to perform this analysis. The advantage of this method, it works properly with MATLAB software, gives explicit result for time-invariant systems, applied to multi-input and multioutput control systems, solve the equation of motion for complicated dynamic problems. https://polytechnic-journal.epu.edu.iq/home/vol10/iss1/24 state-space model;time history analysis;frame structures;dynamic analysis;linear time-invariant systems |
| spellingShingle | Barham H. Ali Brwa Ahmad Saeed Twana A. Hussein Time History Analysis of Frame Structure Systems by State-space Representation Method Polytechnic Journal state-space model; time history analysis; frame structures; dynamic analysis; linear time-invariant systems |
| title | Time History Analysis of Frame Structure Systems by State-space Representation Method |
| title_full | Time History Analysis of Frame Structure Systems by State-space Representation Method |
| title_fullStr | Time History Analysis of Frame Structure Systems by State-space Representation Method |
| title_full_unstemmed | Time History Analysis of Frame Structure Systems by State-space Representation Method |
| title_short | Time History Analysis of Frame Structure Systems by State-space Representation Method |
| title_sort | time history analysis of frame structure systems by state space representation method |
| topic | state-space model; time history analysis; frame structures; dynamic analysis; linear time-invariant systems |
| url | https://polytechnic-journal.epu.edu.iq/home/vol10/iss1/24 |
| work_keys_str_mv | AT barhamhali timehistoryanalysisofframestructuresystemsbystatespacerepresentationmethod AT brwaahmadsaeed timehistoryanalysisofframestructuresystemsbystatespacerepresentationmethod AT twanaahussein timehistoryanalysisofframestructuresystemsbystatespacerepresentationmethod |