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 O(nnzlog (nnz) ), 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.
CITATION STYLE
Lee, C. L., & Chang, T. L. (2023). Implementation and Performance of Bell-Shaped Damping Model. In Lecture Notes in Civil Engineering (Vol. 326 LNCE, pp. 147–156). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-30125-4_13
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