Higher-mode effect on the seismic responses of buildings with viscoelastic dampers |
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| Authors: | Meng-Hao Tsai Kuo-Chun Chang |
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| Institution: | Department of Civil Engineering, Taiwan University, Chinese Taipei |
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| Abstract: | In conventional modal analysis procedures, usually only a few dominant modes are required to describe the dynamic behavior
of multi-degrees-of-freedom buildings. The number of modes needed in the dynamic analysis depends on the higher-mode contribution
to the structural response, which is called the higher-mode effect. The modal analysis approach, however, may not be directly
applied to the dynamic analysis of viscoelastically damped buildings. This is because the dynamic properties of the viscoelastic
dampers depend on their vibration frequency. Therefore, the structural stiffness and damping contributed from those dampers
would be different for each mode. In this study, the higher-mode effect is referred to as the response difference induced
by the frequency-dependent property of viscoelastic dampers at higher modes. Modal analysis procedures for buildings with
viscoelastic dampers distributed proportionally and non-proportionally to the stiffness of the buildings are developed to
consider the higher-mode effect. Numerical studies on shear-type viscoelastically damped building models are conducted to
examine the accuracy of the proposed procedures and to investigate the significance of the higher-mode effect on their seismic
response. Two damper models are used to estimate the peak damper forces in the proposed procedures. Study results reveal that
the higher-mode effect is significant for long-period viscoelastically damped buildings. The higher-mode effect on base shear
is less significant than on story acceleration response. Maximum difference of the seismic response usually occurs at the
top story. Also, the higher-mode effect may not be reduced by decreasing the damping ratio provided by the viscoelastic dampers.
For practical application, it is realized that the linear viscous damping model without considering the higher-mode effect
may predict larger damper forces and hence, is on the conservative side.
Supported by: Science Council, Chinese Taipei, grant no. 88-2625-2-002-006 |
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| Keywords: | model analysis viscoelastic dampers higher-mode effect |
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