INVESTIGATION OF THE FRACTAL RESPONSE OF A NONLINEAR PACKAGING SYSTEM

Luis M. Palacios-Pineda, ELIAS-ZÚÑIGA Alex (), Oscar Martinez-Romero () and Daniel Olvera-Trejo ()
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Luis M. Palacios-Pineda: Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey, Eugenio Garza Sada Ave. 2501, 64849 Monterrey, NL, México†Tecnológico Nacional de México/Instituto Tecnológico de Pachuca, Carr. México-Pachuca Km 87.5, 42080 Pachuca, Hgo., México
ELIAS-ZÚÑIGA Alex: Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey, Eugenio Garza Sada Ave. 2501, 64849 Monterrey, NL, México
Oscar Martinez-Romero: Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey, Eugenio Garza Sada Ave. 2501, 64849 Monterrey, NL, México
Daniel Olvera-Trejo: Escuela de Ingeniería y Ciencias, Tecnológico de Monterrey, Eugenio Garza Sada Ave. 2501, 64849 Monterrey, NL, México

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-9

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.

Keywords: Two-Scale Dimension Transform; Cushioning Performance Curve; Packaging of Fragile Products; Porous Materials; Fractal Fast Fourier Transform; Fractal Cubic-Quintic-Heptic Duffing’s Equation; Fractal Finite Element Method (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500074

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DOI: 10.1142/S0218348X22500074

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