An important problem that spans across many types of systems (e.g., mechanical and biological) is how to model the dynamics of joints or interfaces in built-up structures in such a way that the complex dynamic and energy-dissipative behavior that depends on microscale phenomena at the joint/interface is accurately captured, yet in a framework that is amenable to efficient computational analyses of the larger macroscale system of which the joint or interface is a (spatially) small part. Simulating joint behavior in finite element analysis by meshing the joint regions finely enough to capture relevant micromechanics is impractical for large-scale structural systems. A more practical approach is to devise constitutive models for the overall behavior of individual joints that accurately capture their nonlinear and energy-dissipative behavior and to locally incorporate the constitutive response into the otherwise often-linear structural model. Recent studies have successfully captured and simulated mechanical joint dynamics using computationally simple phenomenological models of combined elasticity and slip with associated friction and energy dissipation, known as Iwan models. In the present article, the author reviews the relationship, and in some cases equivalence, of one type of Iwan model to several other models of hysteretic behavior that have been used to simulate a wide range of physical phenomena. Specifically, it is shown that the “parallel-series” Iwan model has been referred to in other fields by different names, including “Maxwell resistive capacitor,” “Ishlinskii,” and “ordinary stop hysteron.” Given this, the author establishes the relationship of this Iwan model to several other hysteresis models, most significantly the classical Preisach model. Having established these relationships, it is then possible to extend analytical tools developed for a specific hysteresis model to all of the models with which it is related. Such analytical tools include experimental identification, inversion, and analysis of vibratory energy flow and dissipation. Numerical case studies of simple systems that include an Iwan-modeled joint illustrate these points.
Skip Nav Destination
Article navigation
July 2008
Research Papers
Leveraging the Equivalence of Hysteresis Models From Different Fields for Analysis and Numerical Simulation of Jointed Structures
T. J. Royston
T. J. Royston
Search for other works by this author on:
T. J. Royston
J. Comput. Nonlinear Dynam. Jul 2008, 3(3): 031006 (8 pages)
Published Online: April 30, 2008
Article history
Received:
April 3, 2007
Revised:
January 28, 2008
Published:
April 30, 2008
Citation
Royston, T. J. (April 30, 2008). "Leveraging the Equivalence of Hysteresis Models From Different Fields for Analysis and Numerical Simulation of Jointed Structures." ASME. J. Comput. Nonlinear Dynam. July 2008; 3(3): 031006. https://doi.org/10.1115/1.2908348
Download citation file:
Get Email Alerts
Cited By
Numerical Simulation Method for the Rain-Wind Induced Vibration of the Three-Dimensional Flexible Stay Cable
J. Comput. Nonlinear Dynam
A Numerical Study for Nonlinear Time-Space Fractional Reaction-Diffusion Model of Fourth-Order
J. Comput. Nonlinear Dynam (March 2025)
An Investigation of Dynamic Behavior of Electric Vehicle Gear Trains
J. Comput. Nonlinear Dynam (March 2025)
Nonlinear Dynamic Analysis Framework for Slender Structures Using the Modal Rotation Method
J. Comput. Nonlinear Dynam (March 2025)
Related Articles
Self-assembly of lamellae by elastocapillarity in the presence of gravity: experiments and modeling
J. Appl. Mech (January,0001)
Homogenization Techniques and Micromechanics. A Survey and Perspectives
Appl. Mech. Rev (May,2010)
Flexoelectricity: A Perspective on an Unusual Electromechanical Coupling
J. Appl. Mech (March,2016)
Convergence Behaviors of Reduced-Order Models For Frictional
Contacts
J. Vib. Acoust (August,2005)
Related Proceedings Papers
Related Chapters
Concluding Remarks and Future Work
Ultrasonic Welding of Lithium-Ion Batteries
Fundamentals of Structural Dynamics
Flow Induced Vibration of Power and Process Plant Components: A Practical Workbook
Realization of Elasticity and Damping in Vibration Isolators
Passive Vibration Isolation