Numerical Evaluation of Bell-Shaped Proportional Damping Model for Softening Structures

Type of content
Conference Contributions - Published
Thesis discipline
Degree name
Publisher
CIMNE
Journal Title
Journal ISSN
Volume Title
Language
Date
2022
Authors
Lee, Chin-Long
Chang, Theodore L.
Abstract

A new type of proportional damping models, called bell-shaped proportional damping model, has recently been proposed. This new model has not only addressed the spurious damping forces, but also maintained the same order of computational efficiency as the Rayleigh model. This model has also been further improved such that, by using the tangent stiffness approach, it becomes suitable for structures experiencing softening response with negative stiffness. The improved model allows users to have flexible control of modal damping ratio for all interested frequency intervals, including those associated with negative stiffness. In this study, the performance of bell-shaped damping model is evaluated numerically in a response history analysis of a multi-storey building under seismic loading. The results show that, compared to the Rayleigh model, the bell-shaped model performs excellently in terms of always giving desirable positive energy dissipation even when the structure is experiencing softening response.

Description
Citation
Lee C, Chang T Numerical Evaluation of Bell-Shaped Proportional Damping Model for Softening Structures. 15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII). 15th World Congress on Computational Mechanics (WCCM-XV) and 8th Asian Pacific Congress on Computational Mechanics (APCOM-VIII).
Keywords
Proportional Damping, Bell-Shaped Model, Softening Response, Negative Stiffness
Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Fields of Research::40 - Engineering::4017 - Mechanical engineering::401702 - Dynamics, vibration and vibration control
Fields of Research::40 - Engineering::4017 - Mechanical engineering::401706 - Numerical modelling and mechanical characterisation
Fields of Research::40 - Engineering::4005 - Civil engineering::400506 - Earthquake engineering
Fields of Research::40 - Engineering::4005 - Civil engineering::400509 - Structural dynamics
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