The Radial Response of a Carbon Nanotube to Dynamic Pressure
Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by t...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dmitriev, S. V. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. |
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| Übergeordnetes Werk: |
Enthalten in: Doklady physics - Moscow : Maik Nauka/Interperiodica Publ., 1996, 66(2021), 12 vom: Dez., Seite 336-340 |
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| Übergeordnetes Werk: |
volume:66 ; year:2021 ; number:12 ; month:12 ; pages:336-340 |
| Links: |
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| DOI / URN: |
10.1134/S102833582112003X |
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| Katalog-ID: |
SPR050550446 |
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| 245 | 1 | 4 | |a The Radial Response of a Carbon Nanotube to Dynamic Pressure |
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| 520 | |a Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. | ||
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10.1134/S102833582112003X doi (DE-627)SPR050550446 (SPR)S102833582112003X-e DE-627 ger DE-627 rakwb eng Dmitriev, S. V. verfasserin aut The Radial Response of a Carbon Nanotube to Dynamic Pressure 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. Ilgamov, M. A. aut Enthalten in Doklady physics Moscow : Maik Nauka/Interperiodica Publ., 1996 66(2021), 12 vom: Dez., Seite 336-340 (DE-627)312200633 (DE-600)2005101-3 1562-6903 nnns volume:66 year:2021 number:12 month:12 pages:336-340 https://dx.doi.org/10.1134/S102833582112003X 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_206 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 66 2021 12 12 336-340 |
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10.1134/S102833582112003X doi (DE-627)SPR050550446 (SPR)S102833582112003X-e DE-627 ger DE-627 rakwb eng Dmitriev, S. V. verfasserin aut The Radial Response of a Carbon Nanotube to Dynamic Pressure 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. Ilgamov, M. A. aut Enthalten in Doklady physics Moscow : Maik Nauka/Interperiodica Publ., 1996 66(2021), 12 vom: Dez., Seite 336-340 (DE-627)312200633 (DE-600)2005101-3 1562-6903 nnns volume:66 year:2021 number:12 month:12 pages:336-340 https://dx.doi.org/10.1134/S102833582112003X 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_206 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 66 2021 12 12 336-340 |
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10.1134/S102833582112003X doi (DE-627)SPR050550446 (SPR)S102833582112003X-e DE-627 ger DE-627 rakwb eng Dmitriev, S. V. verfasserin aut The Radial Response of a Carbon Nanotube to Dynamic Pressure 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. Ilgamov, M. A. aut Enthalten in Doklady physics Moscow : Maik Nauka/Interperiodica Publ., 1996 66(2021), 12 vom: Dez., Seite 336-340 (DE-627)312200633 (DE-600)2005101-3 1562-6903 nnns volume:66 year:2021 number:12 month:12 pages:336-340 https://dx.doi.org/10.1134/S102833582112003X 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_206 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 66 2021 12 12 336-340 |
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10.1134/S102833582112003X doi (DE-627)SPR050550446 (SPR)S102833582112003X-e DE-627 ger DE-627 rakwb eng Dmitriev, S. V. verfasserin aut The Radial Response of a Carbon Nanotube to Dynamic Pressure 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. Ilgamov, M. A. aut Enthalten in Doklady physics Moscow : Maik Nauka/Interperiodica Publ., 1996 66(2021), 12 vom: Dez., Seite 336-340 (DE-627)312200633 (DE-600)2005101-3 1562-6903 nnns volume:66 year:2021 number:12 month:12 pages:336-340 https://dx.doi.org/10.1134/S102833582112003X 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_206 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 66 2021 12 12 336-340 |
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10.1134/S102833582112003X doi (DE-627)SPR050550446 (SPR)S102833582112003X-e DE-627 ger DE-627 rakwb eng Dmitriev, S. V. verfasserin aut The Radial Response of a Carbon Nanotube to Dynamic Pressure 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. Ilgamov, M. A. aut Enthalten in Doklady physics Moscow : Maik Nauka/Interperiodica Publ., 1996 66(2021), 12 vom: Dez., Seite 336-340 (DE-627)312200633 (DE-600)2005101-3 1562-6903 nnns volume:66 year:2021 number:12 month:12 pages:336-340 https://dx.doi.org/10.1134/S102833582112003X 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_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 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_206 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 66 2021 12 12 336-340 |
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radial response of a carbon nanotube to dynamic pressure |
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The Radial Response of a Carbon Nanotube to Dynamic Pressure |
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Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. © Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. |
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Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. © Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. |
| abstract_unstemmed |
Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring. © Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">SPR050550446</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230507131400.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230507s2021 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1134/S102833582112003X</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR050550446</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)S102833582112003X-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">Dmitriev, S. V.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The Radial Response of a Carbon Nanotube to Dynamic Pressure</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</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">© Pleiades Publishing, Ltd. 2021. ISSN 1028-3358, Doklady Physics, 2021, Vol. 66, No. 12, pp. 336–340. © Pleiades Publishing, Ltd., 2021. Russian Text © The Author(s), 2021, published in Doklady Rossiiskoi Akademii Nauk. Fizika, Tekhnicheskie Nauki, 2021, Vol. 501, pp. 8–13.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The radial dynamics of a single-walled carbon nanotube under dynamic compression is considered in a linear formulation. The equation based on the Kirchoff hypotheses for the bending deformation of a thin-walled cylindrical shell (circular ring) is applied. The effective parameter found by the comparison of eigenfrequencies within the framework of molecular dynamics and elastic shell theory is engaged. The applied external pressure is varied step by step and further remains constant within the time period considered. The vibratory motion and exponential deflection growth regimes are studied depending on the ratio of this pressure to the critical static pressure. These parameters can also be expressed through the number of carbon atoms composing a circular ring.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ilgamov, M. 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