Dropping damage evaluation for a hyperbolic tangent cushioning system with a critical component

Wang, Jun; Duan, Fangli; Jiang, Jiuhong; Lu, Lixin; Wang, Zhiwei

doi:10.1177/1077546311421515

Cited by 29 publications

(26 citation statements)

References 11 publications

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“…Despite its popularity, some basic assumptions of this theory have been questioned, such as the linear assumption. Several modified versions of the concept were proposed, such as the fatigue damage boundary concept (FDB), the displacement damage boundary concept, the non‐linear damage boundary concept, the dropping damage boundary concept and the damage boundary surface concept . Newton's damage boundary concept, together with the modified damage evaluation approaches, provides the packaging designers a convenient way to design the cushioning packaging.…”

Section: Introductionmentioning

confidence: 99%

Inverse Sub-Structuring Method for Multi-Coordinate Coupled Product Transport System

Wang

Hong

Qian

et al. 2013

Packag. Technol. Sci.

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A new high‐accuracy transfer function is selected, and an inverse sub‐structuring method is developed for the analysis of the dynamic characteristics of a three‐sub‐structure coupled product transport system. The closed‐form analytical solution to inverse sub‐structuring analysis of multi‐coordinate coupled multi‐ sub‐structure product transport system is derived. The proposed method is validated by a lumped mass spring damper model; the predicted frequency response functions (FRFs) of sub‐structures and the coupling stiffness, in addition to the most concerned system‐level FRF, are compared with the direct computations, showing exact agreement. Then, FRF tests of a physical prototype of the multi‐coordinate coupled product transport system with three sub‐structures are performed to further check the accuracy of the suggested method. The method developed offers an approach to predict the unknown sub‐structure‐level FRFs and coupling stiffness purely from system‐level FRFs. The suggested method may help obtain the main controlling factors and contributions from the various structure‐borne paths for the product transport system, which may certainly facilitate the cushioning packaging design. Copyright © 2013 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 99%

Inverse Sub-Structuring Method for Multi-Coordinate Coupled Product Transport System

Wang

Hong

Qian

et al. 2013

Packag. Technol. Sci.

Self Cite

View full text Add to dashboard Cite

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“…In fact, the products include many critical parts and should be regarded as multidegree of freedom system and nonlinear system by nature. Therefore, some researchers investigated the dropping damage evaluation of the typical material nonlinear packaging system with two degrees of freedom [13][14][15][16], which enriches the dropping damage boundary theory of products. Note that the aforesaid material nonlinear packaging system is just one of the cushioning packaging systems, and geometric nonlinear systems are also indispensable in product protection.…”

Section: Shock and Vibrationmentioning

confidence: 99%

Dropping Shock Characteristics of the Suspension Cushioning System with Critical Components

Li¹,

Chen²,

Duan³

2017

Shock and Vibration

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Dimensionless dropping shock dynamic equations of suspension nonlinear packaging system with critical components were obtained. The numerical results of shock response were gained using Runge-Kutta method. To evaluate the dropping shock characteristics of critical components, the dropping damage boundary curve was established, where the system parameter and the dimensionless shock velocity were selected as two coordinate parameters. Then, the frequency ratio and the system damping ratio were taken as third basic parameters of the dropping damage boundary surface, respectively. To study dynamic properties of the suspension system with critical components, the shock response acceleration, shock response displacements, and dropping damage boundary were analyzed. Based on the numerical results, the effects of the relevant parameters on dropping shock response and damage boundary of critical component were investigated. It is demonstrated that both a higher frequency ratio and a system damping ratio in the specific range can exert a positive effect on the product protection and should be selected in design process of the suspension system. Furthermore, with the decrease of suspension angle, the acceleration response peak decreases, the displacement response peak increases, and the safety zone enlarges.

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“…[4][5][6] Techniques for characterizing the dynamic behaviour of expanded polymer foams and predicting a product's response to that behaviour are also prevalent in literature. [7][8][9][10][11][12][13][14] Missing within the field of packaging science are standardized methods and agreed-upon models for determining the vibration response of packaging foams that capture their nonlinear dynamic behaviour in response to a periodic excitation. Recent work employs a distributed parameter model to predict the vibration response of expanded polymer foam to small strain inputs typical in the vehicle transport of packaged products 15,16 .…”

Section: Introductionmentioning

confidence: 99%

Primary Resonance Behaviour of a Nonlinear, Viscoelastic Model of Expanded Polymer Cushion Material

Batt

Gibert

Daqaq

2015

Packag. Technol. Sci.

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This manuscript highlights an analytical solution to a nonlinear, viscoelastic model of expanded polymer foam. The governing partial differential equation is discretized into a single-mode nonlinear ordinary differential equation (ODE). Solution of the nonlinear ODE is analytically approximated using the method of multiple scales. Comparison to experimental data reveals that the single-mode analytical solution is capable of capturing the nonlinear bending behaviour missed by a previously solved linearized model. It is also shown that limitations due to the system-identification data-collection method affect the ability of the model to capture the degree of nonlinearity present at lower strain levels. While this limitation has no observable effect on the previously studied linearized system response, nonlinear modelling can benefit from further work performed in the low strain characterization of expanded polymer foam. Lastly, the nonlinear solution is used to study the effect of varying excitation acceleration and static stress on the frequency response of expanded polymer foam.

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Dropping damage evaluation for a hyperbolic tangent cushioning system with a critical component

Cited by 29 publications

References 11 publications

Inverse Sub-Structuring Method for Multi-Coordinate Coupled Product Transport System

Inverse Sub-Structuring Method for Multi-Coordinate Coupled Product Transport System

Dropping Shock Characteristics of the Suspension Cushioning System with Critical Components

Primary Resonance Behaviour of a Nonlinear, Viscoelastic Model of Expanded Polymer Cushion Material

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