Vibration Response Characteristic Analysis of a Packaging-Vehicle-Road Coupled System for Transport Safety and Packaging Parameter Optimization.

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Bibliographic Details
Title:	Vibration Response Characteristic Analysis of a Packaging-Vehicle-Road Coupled System for Transport Safety and Packaging Parameter Optimization.
Authors:	Kang, Jinyue¹ 15134323270@163.com, Zhu, Dapeng² zhudapeng@mail.lzjtu.cn
Source:	IAENG International Journal of Applied Mathematics. Jun2026, Vol. 56 Issue 6, p2059-2070. 12p.
Subjects:	Dynamic models, Packaging design, Motor vehicle dynamics, Mechanical vibration research, Vibration isolation, Packaging, Automotive transportation, Packaging materials
Abstract:	Road transportation of fragile and high-value goods is strongly affected by vibrations transmitted through the coupled packaging - vehicle - road system. To improve cargo safety and support packaging-parameter optimization, this paper develops a vertical dynamic model that integrates a multilayer viscoelastic packaging subsystem, a four-degree-of-freedom vehicle model, and an Euler - Bernoulli road beam on a Winkler foundation. A dual-coupled iterative Newmark-ß method is used to solve the packaging-vehicle and vehicle - road interactions simultaneously. Based on the proposed model, time-domain, frequency-domain, and energy-based analyses are conducted to evaluate the influence of packaging stiffness and damping. The results show that the coupled response is highly sensitive to the packaging parameters. An appropriate stiffness - damping combination can reduce the vertical acceleration of both the vehicle body and the top packaging layer, whereas excessively low or high parameter values may cause resonance amplification or quasi-rigid vibration transmission. For the studied system, the recommended parameter ranges are k = [4×105, 8×105] N/m and c = [5 × 10³, 8 × 10³] N · s/m. Transfer-function and energy-distribution results further indicate that the optimized parameters suppress vibration amplification along the road surface → wheels → vehicle body → packaging layers path. The proposed method provides a quantitative reference for transport packaging design and vibration mitigation. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	Road transportation of fragile and high-value goods is strongly affected by vibrations transmitted through the coupled packaging - vehicle - road system. To improve cargo safety and support packaging-parameter optimization, this paper develops a vertical dynamic model that integrates a multilayer viscoelastic packaging subsystem, a four-degree-of-freedom vehicle model, and an Euler - Bernoulli road beam on a Winkler foundation. A dual-coupled iterative Newmark-ß method is used to solve the packaging-vehicle and vehicle - road interactions simultaneously. Based on the proposed model, time-domain, frequency-domain, and energy-based analyses are conducted to evaluate the influence of packaging stiffness and damping. The results show that the coupled response is highly sensitive to the packaging parameters. An appropriate stiffness - damping combination can reduce the vertical acceleration of both the vehicle body and the top packaging layer, whereas excessively low or high parameter values may cause resonance amplification or quasi-rigid vibration transmission. For the studied system, the recommended parameter ranges are k = [4×105, 8×105] N/m and c = [5 × 10³, 8 × 10³] N · s/m. Transfer-function and energy-distribution results further indicate that the optimized parameters suppress vibration amplification along the road surface → wheels → vehicle body → packaging layers path. The proposed method provides a quantitative reference for transport packaging design and vibration mitigation. [ABSTRACT FROM AUTHOR]
ISSN:	19929978