Modal Analysis of Concrete Arch Dams in Time Domain Including Dam-Reservoir Interaction

Abstract eng:
In this article, two approaches are studied for modal analysis of concrete arch dams in time domain. The results of these investigations are compared against the direct approach which is envisaged as an exact method. The decoupled modal approach relies on independent modes of the dam and the reservoir, and coupled modal approach, which employs mode shapes of coupled system. An asymmetric eigenvalue problem is required to be solved to calculate the coupled modes, which makes the programming very complicated. However, in the decoupled modal approach, a symmetric eigenvalue problem is employed which is resulted by elimination of asymmetric parts of the initial equation. The mode shapes extracted through this problem are utilized to calculate the response. The analysis of Shahid Rajaee concrete arch dam is considered as a controlling example, and the number of required mode shapes for an accurate analysis is compared for these two modal approaches. Dam-reservoir interaction, Coupled modal approach, Decoupled modal approach

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