Highly accurate modal method for calculating eigenvector derivatives in viscous damping systems

AIAA Journal ◽  
1995 ◽  
Vol 33 (4) ◽  
pp. 746-751 ◽  
Author(s):  
Qing-Hua Zeng
Author(s):  
Yin-Nan Huang ◽  
Chia-Ren Liu

Energy dissipation systems can effectively reduce the seismic demands of structures and protect them from damage. However, the effectiveness of the systems is not entirely independent from the dynamic characteristics of ground motions and may be challenged by long-period velocity pulses in near-fault ground motions. The major focus of this study is to clarify the impact of the characteristics of near-fault ground motions on the effectiveness of energy dissipation systems, particularly, structures equipped with viscous dampers. A series of response-history analyses are conducted using single degree-of-systems (SDOF) with periods varying between 0.2 and 5 seconds and damping ratios between 5% and 50% and subjected to fault-normal components of 91 sets of near-fault ground motions identified in a literature prepared by Prof. Jack Baker in 2007. The effectiveness of damping in reducing seismic demands of SDOF systems subjected to near-fault motions are discussed and a model are proposed to describe their relationship.


2021 ◽  
Vol 11 (13) ◽  
pp. 6064
Author(s):  
Jorge Conde ◽  
Alejandro Bernabeu

Use of modal procedures in systems with non-proportional damping (such as structures with added viscous damping systems) results in response errors, shown in this study to depend on dissimilar and often conflicting conditions for different variables and stories; thus, it is not possible to propose simple rules based on structural or damping properties to limit the error in a global way. However, four existing indices (originally proposed to measure damping non-proportionality) present a positive correlation with the extreme errors in modal procedures for all variables and stories. Thus, limiting the index value is a sufficient condition to keep the error in all variables within a given threshold. For practical application, limit values for these indices are tabulated as a function of error and can be used as an acceptance criterion for the validity of modal procedures.


2019 ◽  
Vol 32 (12) ◽  
pp. 2655-2666
Author(s):  
Chao JIANG ◽  
Long LIU ◽  
Jinwu LI ◽  
Bingyu NI

2001 ◽  
Vol 17 (3) ◽  
pp. 427-456 ◽  
Author(s):  
André Filiatrault ◽  
Robert Tremblay ◽  
Assawin Wanitkorkul

Passive friction and viscous damping systems for retrofitting steel moment-resisting frames located along the west coast of the United States are considered. First, preliminary design procedures are presented for friction as well as linear and nonlinear viscous damping systems. Thereafter, nonlinear dynamic analyses are performed on a six-story moment-resisting frame designed according to seismic provisions for California prior to the 1994 Northridge earthquake. A flexural strength degradation model is considered to account for the brittle behavior of pre-Northridge welded beam-to-column connections. The structure was subjected to three different earthquake ensembles including near-field records developed for major crustal earthquakes in California. The results of a parametric study indicate that, although both friction and viscous damping systems reduce significantly the response of the structure, they are unable by themselves to prevent fracture of welded beam-to-column joints. Connection retrofit measures of the types elaborated after the Northridge earthquake would still be required.


AIAA Journal ◽  
2007 ◽  
Vol 45 (6) ◽  
pp. 1406-1414 ◽  
Author(s):  
Luo ZhangPing ◽  
Xiang JinWu

2013 ◽  
Vol 90 ◽  
pp. 253-264 ◽  
Author(s):  
Carlos A. Martínez ◽  
Oscar Curadelli ◽  
María E. Compagnoni

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