Sensitivity Analysis for Elastic Hysteresis Damping in the Time Domain and for Other Damping Models

Document Type : Research Paper

Authors
Hadi Asghari 1
Andrey Melnikov 2
Amin Farrokhabadi 3
Christos Spitas 3
Jose Merodio 4
1 Institute of Mathematics, Faculty of Technical Physics, Information Technology and Applied Mathematics, Lodz University of Technology, Aleje Politechniki 8, 93-590 Lódz, Poland
2 Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, Kabanbay Batyr Ave 53, Astana, 010000, Kazakhstan
3 Department of Mechanical, Materials and Manufacturing Engineering, Faculty of Science and Engineering, University of Nottingham, Ningbo, China
4 Departamento de Matematica Aplicada a las TIC, ETS de Ingenieria de Sistemas Informaticos, Universidad Politecnica de Madrid, Spain
10.22055/jacm.2025.48626.5373
Abstract
This research is concerned with the application of sensitivity analysis to various damping force formulas within the context of hysteretic dynamic models. The damping force formulas analyzed in this study are defined for the following models: the single-degree-of-freedom (SDOF) dynamic model, the multiple-degrees-of-freedom (MDOF) dynamic model, the viscous model, Collar’s model, Reid’s model, and the convolutional model. Through the implementation of sensitivity analysis, i.e. the Sobol method, we have identified the two most critical factors that exhibit the greatest variance among the input parameters influencing the damping force formulas for these dynamic models.
Keywords
Sensitivity analysis
Sobol method
Dynamical model
Damping force
Subjects

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Journal of Applied and Computational Mechanics
Volume 12, Issue 3
Summer 2026
Pages 893-909