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Journals / Challenge Journal of Structural Mechanics / 2021 / Cilt: 7 - Sayı: 1

Determination of the exact mode frequencies of multi-storey structures by state-space method and a comparison with mode superposition method

Ahmad Yamin RASA
Mehmet ÖZYAZICIOĞLU
Pages
1–10
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, a MATLAB code, which solves the equation of exact and approx-imate method, is generated in this research.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a comparativeresearch obtaining the time-consuming exact solution and approximate solution of linearly damped linear frame buildings has been carried out.
📊
Key Findings & Data:State-space method and mode superposition method are respectively utilized to analyze the exact and approximate vibration solution of frame buildings.
💡
Conclusion & Impact:In addition, a MATLAB code, which solves the equation of exact and approx-imate method, is generated in this research.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this paper, a comparativeresearch obtaining the time-consuming exact solution and approximate solution of linearly damped linear frame buildings has been carried out. State-space method and mode superposition method are respectively utilized to analyze the exact and approximate vibration solution of frame buildings. In mode su-perposition method, the proportional damping matrix of frame buildings has been constructed in two different schemes, such as modal combination of mass with stiff-ness matrices (Rayleigh) and disregarding the off-diagonal elements of non-classical damping (DOEA) matrix. Meanwhile, the damping matrix in state-space method is non-proportional and constructs in exact circumstance. By imposing different initial conditions on the system, it has been proved that the transient vibration is mostly greater than the steady-state vibration. These observations have individually been investigated to render the approximate response as close as possible to the exact re-sponse. The findings of current research indicate that the most suitable parameter which brings closer the approximate response to the exact response is DOEA ap-proach. In addition, a MATLAB code, which solves the equation of exact and approx-imate method, is generated in this research.

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Cite This Article

RASA, A. Y., ÖZYAZICIOĞLU, M. (2021). Determination of the exact mode frequencies of multi-storey structures by state-space method and a comparison with mode superposition method. Challenge Journal of Structural Mechanics, Cilt: 7 - Sayı: 1, 1–10. https://ajindex.com/articles/213703

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