The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation
Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Green, Itzhak [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature B.V. 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990, 109(2022), 4 vom: 24. Mai, Seite 2443-2458 |
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| Übergeordnetes Werk: |
volume:109 ; year:2022 ; number:4 ; day:24 ; month:05 ; pages:2443-2458 |
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| DOI / URN: |
10.1007/s11071-022-07522-3 |
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| Katalog-ID: |
SPR047948647 |
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| 245 | 1 | 4 | |a The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
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| 520 | |a Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. | ||
| 650 | 4 | |a Restitution coefficient |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Elastoplastic impact model |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Zener impact model |7 (dpeaa)DE-He213 | |
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10.1007/s11071-022-07522-3 doi (DE-627)SPR047948647 (SPR)s11071-022-07522-3-e DE-627 ger DE-627 rakwb eng Green, Itzhak verfasserin (orcid)0000-0002-9862-9880 aut The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022 Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. Restitution coefficient (dpeaa)DE-He213 Elastoplastic impact model (dpeaa)DE-He213 Zener impact model (dpeaa)DE-He213 Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 109(2022), 4 vom: 24. Mai, Seite 2443-2458 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:109 year:2022 number:4 day:24 month:05 pages:2443-2458 https://dx.doi.org/10.1007/s11071-022-07522-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 109 2022 4 24 05 2443-2458 |
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10.1007/s11071-022-07522-3 doi (DE-627)SPR047948647 (SPR)s11071-022-07522-3-e DE-627 ger DE-627 rakwb eng Green, Itzhak verfasserin (orcid)0000-0002-9862-9880 aut The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022 Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. Restitution coefficient (dpeaa)DE-He213 Elastoplastic impact model (dpeaa)DE-He213 Zener impact model (dpeaa)DE-He213 Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 109(2022), 4 vom: 24. Mai, Seite 2443-2458 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:109 year:2022 number:4 day:24 month:05 pages:2443-2458 https://dx.doi.org/10.1007/s11071-022-07522-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 109 2022 4 24 05 2443-2458 |
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10.1007/s11071-022-07522-3 doi (DE-627)SPR047948647 (SPR)s11071-022-07522-3-e DE-627 ger DE-627 rakwb eng Green, Itzhak verfasserin (orcid)0000-0002-9862-9880 aut The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022 Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. Restitution coefficient (dpeaa)DE-He213 Elastoplastic impact model (dpeaa)DE-He213 Zener impact model (dpeaa)DE-He213 Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 109(2022), 4 vom: 24. Mai, Seite 2443-2458 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:109 year:2022 number:4 day:24 month:05 pages:2443-2458 https://dx.doi.org/10.1007/s11071-022-07522-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 109 2022 4 24 05 2443-2458 |
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10.1007/s11071-022-07522-3 doi (DE-627)SPR047948647 (SPR)s11071-022-07522-3-e DE-627 ger DE-627 rakwb eng Green, Itzhak verfasserin (orcid)0000-0002-9862-9880 aut The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022 Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. Restitution coefficient (dpeaa)DE-He213 Elastoplastic impact model (dpeaa)DE-He213 Zener impact model (dpeaa)DE-He213 Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 109(2022), 4 vom: 24. Mai, Seite 2443-2458 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:109 year:2022 number:4 day:24 month:05 pages:2443-2458 https://dx.doi.org/10.1007/s11071-022-07522-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 109 2022 4 24 05 2443-2458 |
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10.1007/s11071-022-07522-3 doi (DE-627)SPR047948647 (SPR)s11071-022-07522-3-e DE-627 ger DE-627 rakwb eng Green, Itzhak verfasserin (orcid)0000-0002-9862-9880 aut The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2022 Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. Restitution coefficient (dpeaa)DE-He213 Elastoplastic impact model (dpeaa)DE-He213 Zener impact model (dpeaa)DE-He213 Enthalten in Nonlinear dynamics Dordrecht [u.a.] : Springer Science + Business Media B.V, 1990 109(2022), 4 vom: 24. Mai, Seite 2443-2458 (DE-627)315297034 (DE-600)2012600-1 1573-269X nnns volume:109 year:2022 number:4 day:24 month:05 pages:2443-2458 https://dx.doi.org/10.1007/s11071-022-07522-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 109 2022 4 24 05 2443-2458 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR047948647</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230509110441.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">220826s2022 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11071-022-07522-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR047948647</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s11071-022-07522-3-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Green, Itzhak</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-9862-9880</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature B.V. 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. 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prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
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The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
| abstract |
Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. © The Author(s), under exclusive licence to Springer Nature B.V. 2022 |
| abstractGer |
Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. © The Author(s), under exclusive licence to Springer Nature B.V. 2022 |
| abstract_unstemmed |
Abstract The coefficient of restitution (COR) is a pragmatic analytical tool needed to solve impact problems. The coefficient is customarily obtained empirically by executing experiments intended to mimic actual collision situations. The coefficient depends on many parameters, some of which are the colliding bodies’ structures, their material properties, the impact velocities, friction and spin, surface roughness, contamination, and in some cases even adhesion. A comprehensive model that encompasses all parameters is understandably elusive, but if the problem is limited to co-linear impact between two smooth elastic or elastoplastic bodies, particularly two spheres or a sphere and a plate, then a few analytical models are available to predict the COR. A recent model (Jackson et al. in Nonlinear Dyn 60:217–229, 2010) has specifically targeted the elastoplastic deformation caused by the collision while excluding other effects. Other models (notably by Zener (Phys Rev 59(8):669–673, 1941)) do not consider the elastoplastic deformation, focusing only the ensuing elastic waves instigated in a perfectly elastic collision. The said two models may rest at the outermost ends of the effects that influence the apparent coefficient of restitution. The subject of this work is to investigate the interplay of these two models and fuse them into a single model that include both effects of elastic waves in the presence of elastoplastic deformation and vice versa. Then, the new model is compared to recent experimental results by Higgs, et al. (2013, 2018) as well as their FEA simulations (2017). It is shown that a straightforward use of the new model herein predicts quite accurately the apparent coefficient of restitution, where a very good agreement is found between the predictions and the results obtained from experiments and FEA simulations. The comparison is performed for a wide variation of material property combinations, plate thickness-to-sphere diameter ratios, and impact speeds. © The Author(s), under exclusive licence to Springer Nature B.V. 2022 |
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The prediction of the coefficient of restitution between impacting spheres and finite thickness plates undergoing elastoplastic deformations and wave propagation |
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https://dx.doi.org/10.1007/s11071-022-07522-3 |
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10.1007/s11071-022-07522-3 |
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| score |
7.402439 |