Equivalent impact system approach for elastoplastic impact analysis of dissimilar spheres

Big‐Alabo, Akuro

doi:10.1016/j.ijimpeng.2017.11.021

Cited by 6 publications

(3 citation statements)

References 12 publications

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“…The linearization technique used by the CPLM was first applied in another algorithm [6,54] for the solution of half-space impact models called force indentation linearization method (FILM). The FILM has been applied to formulate theoretical solutions for rigid body motions and local compliance response during nonlinear elastoplastic impact of dissimilar spheres [55]. However, because the FILM is limited to impact excitations that are nonoscillatory, it cannot be applied to nonlinear conservative oscillators.…”

Section: Continuous Piecewise Linearization Methods 21 Concept Of Thementioning

confidence: 99%

Periodic Solution of Nonlinear Conservative Systems

Big‐Alabo¹,

Ossia²

2020

Progress in Relativity

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Conservative systems represent a large number of naturally occurring and artificially designed scientific and engineering systems. A key consideration in the theory and application of nonlinear conservative systems is the solution of the governing nonlinear ordinary differential equation. This chapter surveys the recent approximate analytical schemes for the periodic solution of nonlinear conservative systems and presents a recently proposed approximate analytical algorithm called continuous piecewise linearization method (CPLM). The advantage of the CPLM over other analytical schemes is that it combines simplicity and accuracy for strong nonlinear and large-amplitude oscillations irrespective of the complexity of the nonlinear restoring force. Hence, CPLM solutions for typical nonlinear Hamiltonian systems are presented and discussed. Also, the CPLM solution for an example of a non-Hamiltonian conservative oscillator was presented. The chapter is aimed at showcasing the potential and benefits of the CPLM as a reliable and easily implementable scheme for the periodic solution of conservative systems.

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Section: Continuous Piecewise Linearization Methods 21 Concept Of Thementioning

confidence: 99%

Periodic Solution of Nonlinear Conservative Systems

Big‐Alabo¹,

Ossia²

2020

Progress in Relativity

Self Cite

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“…It is first used in the building field, including sand 1 and concrete, 2 then applied to pipes 3 and metal sheets 4 and finally used in packaging engineering. 5 The impact object, [6][7][8] impact base, 9,10 impact velocity, [11][12][13][14] number of impacts 15,16 and impact orientation 17 all have an influence on the COR. There are three primary categories: displacement COR, 1,4 velocity COR 12,15 and energy COR.…”

Section: Introductionmentioning

confidence: 99%

Exploring factors affecting the conversion of the coefficient of restitution to equivalent free fall drop height

Lin,

Ge,

Qian

et al. 2023

Packag Technol Sci

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The coefficient of restitution (COR) is used to estimate the equivalent free fall drop height of packaging during handling and transportation. Various experimental studies were designed to explore factors affecting the conversion of the COR to equivalent free fall drop height. These factors include the number of drops, drop height, drop orientation, drop base, temperature and humidity on the COR. The results indicate that the number of drops and drop orientation are the two most influential factors affecting COR values. As the package undergoes more drops, the COR increases. Among the various orientations, the COR is largest for flat drops, followed by edge and corner orientations. Within flat drops, a smaller impact area results in a smaller COR. Manufacturing joints and the flats, edges and corners adjacent to manufacturing joints tend to yield smaller COR values. A COR correction matrix was developed to correct the conventional COR calculation. This matrix allows engineers to refine COR values based on the number of drops and drop orientations in the field. The matrix‐corrected equivalent free fall drop heights demonstrated an average accuracy of 96%. Compared to the conventional COR calculation method, it effectively reduces errors by a factor of 2–3.

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“…An alternative solution was then adopted by McMillan et al [14], who subtracted from experimental results the estimated deflection calculated from Finite Element Analysis to obtain the true relative approach as a function of applied load. Moreover, in the case of impact tests, indentation was measured after the impact and using manual methodologies [15,16] showing discrepancies with the static contact law depending on the loading rate.…”

Section: Introductionmentioning

confidence: 99%

Indentation Measurement in Thin Plates under Bending Using 3D Digital Image Correlation

et al. 2021

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In the current paper, a novel experimental methodology to characterize the contact behavior on thin plates under bending is presented. The method is based on the experimental measurement of the indentation observed during contact experiments. Tests were conducted using aluminum thin plates and a steel sphere to evaluate the effect of thickness and bending during contact. For this purpose, a non-contact optical technique, 3D Digital Image Correlation (3D-DIC), has been employed to measure the out-of-plane displacements experienced at the rear face of the specimens (opposite where the contact is occurring). An indirect measurement of the experimental contact law is obtained for different plate thicknesses (2 mm, 3 mm, 4 mm, 5 mm and 6 mm) as the contact load increases. An energy balance performed during contact experiments made it possible to evaluate and quantify the applied energy to generate bending and contact deformation. When the specimen thickness increases from 2 mm to 6 mm, contact deformation reaches higher values from the total applied energy. In addition, it is also possible to evaluate the portion of the elastically recovered energy for contact and bending deformation during the unloading. It has been observed that thicker specimens show a lower elastic energy recovery due to bending and a higher elastic energy recovery due to contact. Results clearly show how the ratio between absorbed and applied energy changes as the specimen thickness increases, highlighting the relevance of the proposed method for the characterization of contact behavior in thin plates.

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Equivalent impact system approach for elastoplastic impact analysis of dissimilar spheres

Cited by 6 publications

References 12 publications

Periodic Solution of Nonlinear Conservative Systems

Periodic Solution of Nonlinear Conservative Systems

Exploring factors affecting the conversion of the coefficient of restitution to equivalent free fall drop height

Indentation Measurement in Thin Plates under Bending Using 3D Digital Image Correlation

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