A new reduced model of damped moment frame for rapid optimization of viscous damper placement. Issue 4 (30th September 2022)

• Record Type: Journal Article
• Authors: Akehashi, Hiroki; Takewaki, Izuru
• Is Part Of: Japan architectural review. Volume 5:Issue 4(2022)
• Page Start: 432
• Page End: 444
• Publication Date: 2022-09-30
• Subjects: moment frame -- optimization -- reduced model -- static condensation -- viscous damper; Building -- Periodicals; Building -- Japan -- Periodicals; Architectural design -- Periodicals; 690
• DOI: 10.1002/2475-8876.12302
• Languages: English
• ISSNs: 2475-8876

Abstract

Abstract: A new model reduction method is presented for moment‐resisting frames with viscous dampers. The proposed method considers (1) the interactive effect of added damping between the horizontal‐vertical directions and (2) the direct effect with regard to the vertical direction different from the conventional static condensation method. When brace‐type dampers are treated, these effects cannot be neglected originally. The proposed method gives a better correspondence of the fundamental eigenmode with that of the non‐reduced moment frame than the static condensation method. In addition, the proposed reduced model can accurately evaluate the maximum interstory drifts of the non‐reduced moment frame. The proposed model reduction method is formulated in the frequency domain. The frequency dependency of the stiffness matrix and the damping matrix of the reduced model is investigated. The influences of the added damping matrix by viscous dampers on the natural circular frequencies, the damping ratios and the participation vectors are also investigated. Finally, it is demonstrated through a numerical example that the displacement‐based optimization of the damper allocation can be accurately and rapidly conducted by using the reduced models throughout the optimization process. Abstract : A new model reduction method is presented for moment frames with viscous damper. The proposed method can accurately evaluate the maximum interstory drifts of the non‐reduced moment frames compared to the conventional static condensation method. A displacement‐based optimization of viscous damper placement can be accurately and efficiently conducted by using the proposed reduced model with high accuracy.