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- Title
INVESTIGATION OF THE FRACTAL RESPONSE OF A NONLINEAR PACKAGING SYSTEM.
- Authors
PALACIOS-PINEDA, LUIS M.; ELIAS-ZÚÑIGA, ALEX; MARTINEZ-ROMERO, OSCAR; OLVERA-TREJO, DANIEL
- Abstract
The paper aims to obtain the cushion curves of a polymer foam commonly used in the protective packaging of fragile products and its fractal cushioning performance. First, the impact curves are obtained to evaluate the dropping damage of a critical component considering a fractal nonlinear dynamic packaging system model, more specifically a fractal cubic-quintic-heptic Duffing's equation. Then, the two-scale fractal derivative transform is introduced to determine the packaging material fractal behavior due to the material molecular structure. The findings explain the dynamic response behavior of the porous cushion material, and the proposed fractal dynamic model sheds new light on the design and analysis of cushioning packaging systems.
- Subjects
NONLINEAR systems; DUFFING equations; NONLINEAR dynamical systems; FRACTAL analysis; PACKAGING materials; POROUS materials; MOLECULAR structure
- Publication
Fractals, 2022, Vol 30, Issue 1, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X22500074