Prediction of foam impulse response through combination of hereditary and fractional derivative approaches
| Autor: | Makram Elfarhani, Saeed Rubaiee, Abdessalem Jarraya, Mohamed Haddar, Ali Mkaddem |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mechanical Engineering
Mathematical analysis Linear elasticity Equations of motion 02 engineering and technology Impulse (physics) Residual 01 natural sciences Viscoelasticity Fractional calculus 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Modeling and Simulation 0103 physical sciences General Materials Science Closed-form expression 010301 acoustics Impulse response Mathematics |
| Zdroj: | Multidiscipline Modeling in Materials and Structures. 15:800-817 |
| ISSN: | 1573-6105 |
| DOI: | 10.1108/mmms-10-2018-0164 |
| Popis: | Purpose The purpose of this paper is to cover an experimental investigation of the impulse response of the foam-mass system (FMS) to unveil some of the foam dynamic behavior features needed to optimize the impact comfort of seat-occupant system. The equation of motion of the studied system is modeled as a sum of a linear elastic, pneumatic damping and viscoelastic residual forces. An identification methodology based on two separated calibration processes of the viscoelastic parameters was developed. Design/methodology/approach The viscoelastic damping force representing the foam short memory effects was modeled through the hereditary formulation. Its parameters were predicted from the free vibrational response of the FMS using iterative Prony method for autoregressive–moving–average model. However, the viscoelastic residual force resulting in the long memory effects of the material was modeled with fractional derivative term and its derivative order was predicted from previous cyclic compression standards. Findings The coefficients of the motion law were determined using closed form solution approach. The predictions obtained from the simulations of the impulse and cyclic tests are reasonably accurate. The physical interpretations as well as the mathematical correlations between the system parameters were discussed in details. Originality/value The prediction model combines hereditary and fractional derivative formulations resulting in short and long physical memory effects, respectively. Simulation of impulse and cyclic behavior yields good correlation with experimental findings. |
| Databáze: | OpenAIRE |
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