Journal
APPLIED SCIENCES-BASEL
Volume 12, Issue 23, Pages -Publisher
MDPI
DOI: 10.3390/app122312107
Keywords
viscous damping model; hysteretic damping model; damping ratio; transient response; steady response
Categories
Funding
- National Natural Science Foundation of China
- Natural Science Foundation of Henan Province
- China Postdoctoral Science Foundation
- Key Research Projects of Henan Higher Education Institutions
- [51878621]
- [51578343]
- [222300420316]
- [2022M712905]
- [22A560005]
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This study analyzed the transient and steady responses of a single degree of freedom system based on viscous damping and hysteretic damping models. The results showed that the dynamic responses based on the two damping models were approximately equal in small damping cases, but the difference between the two models gradually increased with the increase in damping ratio.
A damping model is one of the key factors in dynamic analysis. Viscous damping and hysteretic damping models are commonly used in structural damping models. In this study, transient and steady responses are analyzed for a single degree of freedom system based on the two damping models. The attenuation coefficient and damped natural frequency are important parameters of the transient response. In addition, the vibration amplitude is an important parameter of the steady response. When the relative errors of the parameters for the two damping models are less than 10%, the threshold of the damping ratio is selected as 0.1736 and the threshold of the loss factor is 0.3472. The numerical examples show that the dynamic responses based on the viscous damping model are approximately equal to those based on the hysteretic damping model in small damping cases. With the increase in the damping ratio, the difference between the dynamic responses calculated by the two damping models gradually increases. In large damping cases, the two damping models must be distinguished, and the choice of the damping model depends on the characteristic of dissipate energy.
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