A Modified Fractional-Order Derivative Zener Model for Rubber-Like Devices for Structural Control
Publication: Journal of Engineering Mechanics
Volume 148, Issue 1
Abstract
Fractional-order derivative (FD) models are widely used to describe the dynamic behavior of rubber-like materials. However, experiments have shown that FD models cannot reproduce the amplitude dependence and the slow stabilization phenomenon under harmonic excitation. To overcome these limitations, we introduce a modified FD Zener (MFDZ) model that incorporates a new parameter, average strain. The MFDZ model is shown to have good agreement with experimental data. Two illustrative examples are conducted to demonstrate the use of the MDFZ model for structural control. The results show that the MFDZ model can better describe rubber-like materials’ behavior and versatility when used in the dynamic analysis of structural systems.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors express their appreciation for the financial support from the National Key Research and Development Program of China (2016YFE0200500), the program of China Scholarships Council (No. 201706090092), the Priority Academic Program of Jiangsu Provincial Department of Education (CE02-1-48), the Fundamental Research Funds for the Central University - Postgraduate Research & Practice Innovation Program of Jiangsu Provincial Department of Education (KYCX17_0126), China National Funds for Distinguished Young Scientists (Grant No. 51625803), Key Research and Development Project of Anhui Province (202104G01020002), and Changjiang Scholar Program of Chinese Ministry of Education. Support for Daniel Gomez is provided by the Universidad del Valle, Colombia.
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Published In
Journal of Engineering Mechanics
Volume 148 • Issue 1 • January 2022
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Mar 30, 2021
Accepted: Aug 23, 2021
Published online: Oct 18, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 18, 2022
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