Numerical simulation of generalised Maxwell-type viscous dampers with an efficient iterative algorithm

In this work, an extended numerical model for viscous dampers, which can be deemed as a generalised Newtonian fluid model, is proposed based on the conventional power-law fluid viscosity. With a flexible definition of damping coefficient, a wide range of damper response can be simulated using the ne...

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Bibliographic Details
Published in:Mechanical systems and signal processing 2022-05, Vol.170, p.108795, Article 108795
Main Authors: Chang, Theodore L., Lee, Chin-Long
Format: Article
Language:English
Subjects:
Algorithms
Computer simulation
Dampers
Elastoplasticity
Iterative algorithm
Iterative algorithms
Iterative methods
Mathematical models
Maxwell model
Negative-stiffness
Newtonian fluids
Numerical models
Rate-dependent viscous damper
Response history analysis
Robustness (mathematics)
Viscous damping
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Summary:In this work, an extended numerical model for viscous dampers, which can be deemed as a generalised Newtonian fluid model, is proposed based on the conventional power-law fluid viscosity. With a flexible definition of damping coefficient, a wide range of damper response can be simulated using the new damper model. An efficient direct integration algorithm with an iterative scheme is proposed for the state determination of the corresponding Maxwell model that employs the proposed dashpot and spring with either elastic or elastoplastic response. Compared to an ODE solver based approach, which has limitations in terms of applicability/accuracy, compatibility/consistency and efficiency/robustness, the proposed algorithm has a higher computational performance and is less sensitive to numerical instability issues. The proposed viscous damper model and the state determination algorithm can be readily used in simulations of various damped dynamic systems. •An extended viscous damper model is proposed.•An iterative algorithm is proposed for the state determination.•High computational efficiency is exhibited by the new approach.•The new model is able to simulate various damper responses.
ISSN:0888-3270
1096-1216
DOI:10.1016/j.ymssp.2021.108795