Application of the Inverse Substructure Method in the Investigation of Dynamic Characteristics of Product Transport System

Wang, Zhiwei; Wang, Jun; Zhang, Yuanbiao; Hu, Chang‐Ying; Zhu, Yong

doi:10.1002/pts.986

Cited by 17 publications

(28 citation statements)

References 9 publications

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“…According to the inverse sub‐structuring method, the formulations can be derived easily based on the combinations of three sets of equations, namely, the force equilibrium conditions, the displacement compatibility conditions and the dynamic equations of the coupled system. According to the inverse sub‐structuring method, the formulations for calculating the component‐level FRFs and dynamic stiffness are all derived as in the following (more details can be found in the work of Wang Z. W. et al

K_{AB} = \frac{H_{S, c (a) c (b)}}{H_{S, c ((), a) c ((), a)} H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}^{2}}

H_{A, c ((), a) c ((), a)} = \frac{H_{S, c ((), a) c ((), a)} H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}^{2}}{H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}}

H_{A, o ((), a) c ((), a)} = \frac{((), H_{S, c ((), a) c ((), a)} H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}^{2}) H_{S, o ((), a) c ((), a)}}{((), H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}) H_{S, c ((), a) c ((), a)}}

…”

Section: Inverse Sub‐structuring Approach Based On Dummy Masses Methodsmentioning

confidence: 99%

“…Rouillard and his partners studied the dynamic behaviours of stacked packaging units as experienced in transport vehicles and proposed a numerical computer model to predict the dynamic response of stacked package systems when subjected to vertical vibration excitation. Wang Z. W. and Wang J . treated the packaged products and the vehicle as a whole system and predicted the component‐level frequency response functions (FRFs) of products from only the measured system‐level FRFs applying the inverse sub‐structuring method proposed by Lim .…”

Section: Introductionmentioning

confidence: 99%

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Inverse Sub‐Structuring Theory for Coupled Product Transport System Based On the Dummy Masses Method

Wang

et al. 2016

Packag Technol Sci

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It is of high importance to predict the components frequency response functions (FRFs) for obtaining the coupled product transport system's response. However, the components behaves much differently when coupled with another components compared with that in free state. Inverse sub‐structuring method has been recently proposed and applied for inverse analysis of the dynamical response of coupled product transport system. The component‐level FRFs and the coupling dynamic stiffness are all predicted from only the system‐level FRFs, facilitating the engineering design for product transport system. However, in most engineering application practices, the system‐level FRFs from coupling degrees of freedom may not be measured accurately because of the difficulties of vibration excitation and/or response measurement for the coupled interface between components within the limited accessible space. The aim of this paper is to develop a new FRF‐based indirect inverse sub‐structuring method for the analysis of the dynamic characteristics of a two‐component coupled product transport system without measuring system‐level FRFs at the coupling degrees of freedom. A so‐called dummy masses method is developed and applied for predicting the unmeasured FRFs at the coupling degrees of freedom, and the inverse sub‐structuring approach based on the dummy mass method is derived for inverse analysis of coupled product transport system, which is further verified by a lumped‐mass model, showing exact agreement. Finally, the experiment on a physical prototype of two‐substructure coupled product transport system is performed to further check the accuracy of the suggested method. The new method shows its great application prospect in coupled product transport system.

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K_{AB} = \frac{H_{S, c (a) c (b)}}{H_{S, c ((), a) c ((), a)} H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}^{2}}

H_{A, c ((), a) c ((), a)} = \frac{H_{S, c ((), a) c ((), a)} H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}^{2}}{H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}}

H_{A, o ((), a) c ((), a)} = \frac{((), H_{S, c ((), a) c ((), a)} H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}^{2}) H_{S, o ((), a) c ((), a)}}{((), H_{S, c ((), b) c ((), b)} - H_{S, c ((), a) c ((), b)}) H_{S, c ((), a) c ((), a)}}

…”

Section: Inverse Sub‐structuring Approach Based On Dummy Masses Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Inverse Sub‐Structuring Theory for Coupled Product Transport System Based On the Dummy Masses Method

Wang

et al. 2016

Packag Technol Sci

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“…In [54] a method is proposed for test acceleration based on the Miner-Palmgrem rule for fatigue. It can be affected by the non-linearity insofar as the increase in the power spectral density in the response of the system is not equivalent to the increase in the Power Spectral Density (PSD) applied to the vibration table.…”

Section: Laboratory Testmentioning

confidence: 99%

“…In this way, a FRF (Function Response Frequency) model was developed, in order to better understand the dynamic response of product [54]. This model was also improved considering two (instead of one) sub-structures, representing truck and load [55].…”

Section: Laboratory Testmentioning

confidence: 99%

Measuring the mechanical and climatic conditions encountered by palletized products in handling and transport

Fragassa¹,

Macaluso²,

Vaccari³

et al. 2017

FME Transaction

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Handling and transport can turn out to be a disastrous experience for the integrity of goods and products. This fact has encouraged the attention of producers towards the development of measures aiming at maximizing this integrity. At the same time, to obtain really effective solutions, the environmental conditions and the level of stress acting on these products during their way from the producer to the final customer have to be detected. This paper illustrates some between the most relevant methods and experiences for monitoring palletized products.

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“…It is significant to establish methodology of accelerated random vibration test Response of packageIn previous studies, package was never assumed to separate from base, and response of package was symmetrical. However, in practice, the contact of package surface is asymmetrical.…”

Section: Introductionmentioning

confidence: 99%

Influence of jumping phenomenon on response of package under random vibration

Fang

Wang

2018

Packag Technol Sci

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Because asymmetric contact is characteristic of the package surface, jumping phenomenon may happen under strong random vibration. To study the influence of jumping phenomenon on package response, a piecewise linear random vibration model is established. By applying Fokker‐Planck‐Kolmogorov (FPK) equation method, distribution of displacement composed of Gaussian distribution and exponential distribution is obtained. After that, distribution of maxima of displacement composed of Rayleigh distribution and exponential distribution is obtained. The proportion of time taken by loss of contact in a single cycle is studied under different peak of displacements. When the peak of displacement is from 1 to 3, the period is from 2π to 2.56π, and proportion of time taken by loss of contact is from 0% to near 50%. By applying the relation between peak of displacement and contact force, distribution of maxima of contact force can be obtained as translational Rayleigh distribution, which is also proved by numerical simulation and experiment respectively. Moreover, by numerical simulation, distribution of acceleration and time history of modified displacement are obtained. It is found that when Root‐Mean‐Square (RMS) value of displacement signal increases, probability of loss of contact becomes greater, and the time cost by the same number of cycles will be prolonged. By experiment, distribution of acceleration and acceleration Power Spectral Density (PSD) are obtained. It is found that when random excitation increases, the probability of −g increases and the frequency corresponding to peak of acceleration PSD declines. It indicates that the loss of contact causes the decline of the central frequency.

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Application of the Inverse Substructure Method in the Investigation of Dynamic Characteristics of Product Transport System

Cited by 17 publications

References 9 publications

Inverse Sub‐Structuring Theory for Coupled Product Transport System Based On the Dummy Masses Method

Inverse Sub‐Structuring Theory for Coupled Product Transport System Based On the Dummy Masses Method

Measuring the mechanical and climatic conditions encountered by palletized products in handling and transport

Influence of jumping phenomenon on response of package under random vibration

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