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http://dx.doi.org/10.5000/EESK.2012.16.4.019

Development of a New Lumped-Mass Stick Model using the Eigen-Properties of Structures  

Roh, Hwa-Sung (한양대학교)
Youn, Ji-Man (한양대학교)
Lee, Hu-Seok (한양대학교)
Lee, Jong-Seh (한양대학교)
Publication Information
Journal of the Earthquake Engineering Society of Korea / v.16, no.4, 2012 , pp. 19-26 More about this Journal
Abstract
For a seismic design or performance evaluation of a structure, an experimental investigation on a scale model of the structure or numerical analysis based on the finite element model is considered. Regarding the numerical analysis, a three-dimensional finite element analysis is performed if a high accuracy of the results is required, while a sensitivity or fragility analysis which uses huge seismic ground motions leads to the use of a lumped-mass stick model. The conventional modeling technique to build the lumped-mass stick model calculates the amount of the lumped mass by considering the geometric shape of the structure, like a tributary area. However, the eigenvalues of the conventional model obtained through such a calculation are normally not the same as those of the actual structure. In order to overcome such a deficiency, in this study, a new lumped mass stick model is proposed. The model is named the "frequency adaptive-lumped-mass stick model." It provides the same eigenvalues and similar dynamic responses as the actual structure. A non-prismatic column is considered as an example, and its natural frequencies as well as the dynamic performance of the new lumped model are compared to those of the full-finite element model. To investigate the damping effect on the new model, 1% to 5% of the critical damping ratio is applied to the model and the corresponding results are also compared to those of the finite element model.
Keywords
Frequency adaptive-lumped-mass stick model; Eigenvalues; Finite element model; Dynamic analysis; Damping ratio;
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