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Implementation and Performance of Bell-Shaped Damping Model
https://orcid.org/http://orcid.org/0000-0003-2885-7113
https://orcid.org/http://orcid.org/0000-0002-4911-0230
A new proportional damping model, named as bell-shaped, has recently been proposed to address the limitations of existing models for simulating un-modeled energy dissipation in large-scale structures subjected to seismic loading. This model relies on an expanded damping coefficient matrix in a sparse matrix form in order to maintain the same computational efficiency as Rayleigh model for the response solution process, so that it can be used for structures with a large number of degrees of freedom. This study investigates two storage schemes: COO (coordinate list) and BST (binary search tree) for constructing and storing the expanded coefficient matrix. The results show that both schemes require a computational complexity of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$O\left(nnz\mathrm{log}\left(nnz\right)\right)$$\end{document}, which is the optimum in the state-of-the-art technologies and is less than the complexity of the solution process. This study also develops an application for computing model parameter values via optimization to match a user-specified damping ratio curve in the structural frequency domain.
Implementation and Performance of Bell-Shaped Damping Model
https://orcid.org/http://orcid.org/0000-0003-2885-7113
https://orcid.org/http://orcid.org/0000-0002-4911-0230
A new proportional damping model, named as bell-shaped, has recently been proposed to address the limitations of existing models for simulating un-modeled energy dissipation in large-scale structures subjected to seismic loading. This model relies on an expanded damping coefficient matrix in a sparse matrix form in order to maintain the same computational efficiency as Rayleigh model for the response solution process, so that it can be used for structures with a large number of degrees of freedom. This study investigates two storage schemes: COO (coordinate list) and BST (binary search tree) for constructing and storing the expanded coefficient matrix. The results show that both schemes require a computational complexity of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$O\left(nnz\mathrm{log}\left(nnz\right)\right)$$\end{document}, which is the optimum in the state-of-the-art technologies and is less than the complexity of the solution process. This study also develops an application for computing model parameter values via optimization to match a user-specified damping ratio curve in the structural frequency domain.
Implementation and Performance of Bell-Shaped Damping Model
https://orcid.org/http://orcid.org/0000-0003-2885-7113
https://orcid.org/http://orcid.org/0000-0002-4911-0230
A new proportional damping model, named as bell-shaped, has recently been proposed to address the limitations of existing models for simulating un-modeled energy dissipation in large-scale structures subjected to seismic loading. This model relies on an expanded damping coefficient matrix in a sparse matrix form in order to maintain the same computational efficiency as Rayleigh model for the response solution process, so that it can be used for structures with a large number of degrees of freedom. This study investigates two storage schemes: COO (coordinate list) and BST (binary search tree) for constructing and storing the expanded coefficient matrix. The results show that both schemes require a computational complexity of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$O\left(nnz\mathrm{log}\left(nnz\right)\right)$$\end{document}, which is the optimum in the state-of-the-art technologies and is less than the complexity of the solution process. This study also develops an application for computing model parameter values via optimization to match a user-specified damping ratio curve in the structural frequency domain.
Implementation and Performance of Bell-Shaped Damping Model
Lecture Notes in Civil Engineering
Di Trapani, Fabio (editor) / Demartino, Cristoforo (editor) / Marano, Giuseppe Carlo (editor) / Monti, Giorgio (editor) / Lee, Chin-Long (author) / Chang, Theodore L. (author)
Eurasian Conference on OpenSees ; 2022 ; Turin, Italy
2023-04-20
10 pages
Article/Chapter (Book)
Electronic Resource
English
How to Implement Bell-Shaped Damping Model?
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