Displacement transmissibility based system identification for polydimethylsiloxane integrating a combination of mechanical modelling with evolutionary multi-objective optimization

ABSTRACT

In this study, displacement transmissibility based parameter identification of a silicon based organic viscoelastic polymer, polydimethylsiloxane (PDMS) has been proposed. The vision is to fill the identification gap for a mechanical model of soft viscoelastic polymers of average-to-high molecular weight. The present investigation is based on an experimental transmissibility analysis carried out on a PDMS block in a self-designed and fabricated system using laser technology. The parametric identification of four viscoelastic models attempted in this study includes the Kelvin–Voigt (K-V) model, the Zener model, and the Burger-I and Burger-II models. To identify the parameters accurately, a multi-objective optimization problem with conflicting objective functions has been solved using the Non-dominated Sorting Genetic Algorithm (NSGA-II). The obtained results indicate that the Zener model best captures the transmissibility variation. Thus, the proposed technique can be utilized for developing mechanical models and identifying the parameters of similar average-to-high molecular weight soft viscoelastic polymers.

KEYWORDS:

• Burger model
• Kelvin–Voigt model
• NSGA-II
• PDMS
• system identification
• Zener model

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Acknowledgments

The authors acknowledge Mr Anirudha Arvind Kulkarni, M.Tech student, IIT Kanpur, for assistance in carrying out experiments and sharing the ABAQUS simulation.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Arun Kumar Sharma http://orcid.org/0000-0002-2952-3177

Rituparna Datta http://orcid.org/0000-0003-3816-2438

Bishakh Bhattacharya http://orcid.org/0000-0002-9621-5246

Additional information

Funding

This work was supported by an Indian Space Research Organisation (ISRO) Space Technology Cell sponsored project [ME/IITK/2014086].