Generalized thermoelastic damping model for small-scale beams with circular cross section in the framework of nonlocal dual-phase-lag heat equation
In light of the certainty of size effect on heat conduction process in extremely small dimensions, the present article seeks to introduce a new theoretical framework for thermoelastic damping (TED) in micro-/nanobeam resonators with circular cross section by utilizing the non-Fourier model of nonloc...
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| Veröffentlicht in: | Acta mechanica 2024-07, Vol.235 (7), p.4175-4199 |
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| creator | Saidoune, Fatma Zohra Turabi Ahmad, M. Y. Ali, Eyhab Fatah, Abdul Nasser Mahmood Kareem, Anaheed Hussein Shahab, Sana Joshi, Sanjeev Kumar Abbas, Hussein Abdullah Alawadi, Ahmed Alsalamy, Ali |
| description | In light of the certainty of size effect on heat conduction process in extremely small dimensions, the present article seeks to introduce a new theoretical framework for thermoelastic damping (TED) in micro-/nanobeam resonators with circular cross section by utilizing the non-Fourier model of nonlocal dual-phase-lag (NDPL). The first stage involves using NDPL model in order to develop the non-Fourier heat equation of circular cross-sectional beams in polar coordinates. This differential equation can be solved to arrive at temperature distribution in any arbitrary point of the beam. When the constitutive equations of the beam together with the extracted temperature distribution are substituted in the energy-based formulation of TED, an infinite series is produced as the TED relation in the context of NDPL model. Through a comparison study, the reliability of the acquired formula is analyzed. To shed light on how some key factors like nonclassical parameters of NDPL model, beam dimensions and material affect TED, several numerical data are prepared. As per the acquired outcomes, notably at high frequencies of oscillation, the use of NDPL model may profoundly impact the quantity and pattern of TED. |
| doi_str_mv | 10.1007/s00707-024-03941-y |
| format | Article |
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Y. ; Ali, Eyhab ; Fatah, Abdul Nasser Mahmood ; Kareem, Anaheed Hussein ; Shahab, Sana ; Joshi, Sanjeev Kumar ; Abbas, Hussein Abdullah ; Alawadi, Ahmed ; Alsalamy, Ali</creator><creatorcontrib>Saidoune, Fatma Zohra ; Turabi Ahmad, M. Y. ; Ali, Eyhab ; Fatah, Abdul Nasser Mahmood ; Kareem, Anaheed Hussein ; Shahab, Sana ; Joshi, Sanjeev Kumar ; Abbas, Hussein Abdullah ; Alawadi, Ahmed ; Alsalamy, Ali</creatorcontrib><description>In light of the certainty of size effect on heat conduction process in extremely small dimensions, the present article seeks to introduce a new theoretical framework for thermoelastic damping (TED) in micro-/nanobeam resonators with circular cross section by utilizing the non-Fourier model of nonlocal dual-phase-lag (NDPL). The first stage involves using NDPL model in order to develop the non-Fourier heat equation of circular cross-sectional beams in polar coordinates. This differential equation can be solved to arrive at temperature distribution in any arbitrary point of the beam. When the constitutive equations of the beam together with the extracted temperature distribution are substituted in the energy-based formulation of TED, an infinite series is produced as the TED relation in the context of NDPL model. Through a comparison study, the reliability of the acquired formula is analyzed. To shed light on how some key factors like nonclassical parameters of NDPL model, beam dimensions and material affect TED, several numerical data are prepared. 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Y.</creatorcontrib><creatorcontrib>Ali, Eyhab</creatorcontrib><creatorcontrib>Fatah, Abdul Nasser Mahmood</creatorcontrib><creatorcontrib>Kareem, Anaheed Hussein</creatorcontrib><creatorcontrib>Shahab, Sana</creatorcontrib><creatorcontrib>Joshi, Sanjeev Kumar</creatorcontrib><creatorcontrib>Abbas, Hussein Abdullah</creatorcontrib><creatorcontrib>Alawadi, Ahmed</creatorcontrib><creatorcontrib>Alsalamy, Ali</creatorcontrib><title>Generalized thermoelastic damping model for small-scale beams with circular cross section in the framework of nonlocal dual-phase-lag heat equation</title><title>Acta mechanica</title><addtitle>Acta Mech</addtitle><description>In light of the certainty of size effect on heat conduction process in extremely small dimensions, the present article seeks to introduce a new theoretical framework for thermoelastic damping (TED) in micro-/nanobeam resonators with circular cross section by utilizing the non-Fourier model of nonlocal dual-phase-lag (NDPL). The first stage involves using NDPL model in order to develop the non-Fourier heat equation of circular cross-sectional beams in polar coordinates. This differential equation can be solved to arrive at temperature distribution in any arbitrary point of the beam. When the constitutive equations of the beam together with the extracted temperature distribution are substituted in the energy-based formulation of TED, an infinite series is produced as the TED relation in the context of NDPL model. Through a comparison study, the reliability of the acquired formula is analyzed. To shed light on how some key factors like nonclassical parameters of NDPL model, beam dimensions and material affect TED, several numerical data are prepared. As per the acquired outcomes, notably at high frequencies of oscillation, the use of NDPL model may profoundly impact the quantity and pattern of TED.</description><subject>Classical and Continuum Physics</subject><subject>Conduction heating</subject><subject>Conductive heat transfer</subject><subject>Constitutive equations</subject><subject>Constitutive relationships</subject><subject>Control</subject><subject>Cross-sections</subject><subject>Damping</subject><subject>Differential equations</subject><subject>Dynamical Systems</subject><subject>Engineering</subject><subject>Engineering Fluid Dynamics</subject><subject>Engineering Thermodynamics</subject><subject>Heat</subject><subject>Heat and Mass Transfer</subject><subject>Infinite series</subject><subject>Original Paper</subject><subject>Phase lag</subject><subject>Polar coordinates</subject><subject>Size effects</subject><subject>Solid Mechanics</subject><subject>Temperature distribution</subject><subject>Theoretical and Applied Mechanics</subject><subject>Thermodynamics</subject><subject>Vibration</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kE9v1DAQxS0EEkvhC3AaibPBf5I4OaIKClKlXsrZmtjj3RQn3tqJquVr8IXxdpG4cZnRSO_3Ru8x9l6Kj1II86nUIQwXquFCD43kpxdsJzs58G7Q5iXbCSEkbwcjXrM3pTzUS5lG7tjvG1ooY5x-kYf1QHlOFLGskwOP83Fa9jAnTxFCylBmjJEXh5FgJJwLPE3rAdyU3RYxg8upFCjk1iktMC1nQwgZZ3pK-SekAEtaYqo8-A0jPx6wEI-4hwPhCvS44Zl8y14FjIXe_d1X7MfXL_fX3_jt3c3368-33CkjVq6lV9T2PjQ16KiCEk0rhG50QKV69MPQGSIctevbVspWoRuDGbx2Hjscvb5iHy6-x5weNyqrfUhbXupLq4XpetW3fV9V6qJ6Tpcp2GOeZswnK4U9l28v5dtavn0u354qpC9QqeJlT_mf9X-oPxtCi34</recordid><startdate>20240701</startdate><enddate>20240701</enddate><creator>Saidoune, Fatma Zohra</creator><creator>Turabi Ahmad, M. 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Y. ; Ali, Eyhab ; Fatah, Abdul Nasser Mahmood ; Kareem, Anaheed Hussein ; Shahab, Sana ; Joshi, Sanjeev Kumar ; Abbas, Hussein Abdullah ; Alawadi, Ahmed ; Alsalamy, Ali</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-31d2e58df4161b2f204500343fa228ad9967eeab3c8551152acbf79d3cda6abd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Classical and Continuum Physics</topic><topic>Conduction heating</topic><topic>Conductive heat transfer</topic><topic>Constitutive equations</topic><topic>Constitutive relationships</topic><topic>Control</topic><topic>Cross-sections</topic><topic>Damping</topic><topic>Differential equations</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Engineering Fluid Dynamics</topic><topic>Engineering Thermodynamics</topic><topic>Heat</topic><topic>Heat and Mass Transfer</topic><topic>Infinite series</topic><topic>Original Paper</topic><topic>Phase lag</topic><topic>Polar coordinates</topic><topic>Size effects</topic><topic>Solid Mechanics</topic><topic>Temperature distribution</topic><topic>Theoretical and Applied Mechanics</topic><topic>Thermodynamics</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Saidoune, Fatma Zohra</creatorcontrib><creatorcontrib>Turabi Ahmad, M. Y.</creatorcontrib><creatorcontrib>Ali, Eyhab</creatorcontrib><creatorcontrib>Fatah, Abdul Nasser Mahmood</creatorcontrib><creatorcontrib>Kareem, Anaheed Hussein</creatorcontrib><creatorcontrib>Shahab, Sana</creatorcontrib><creatorcontrib>Joshi, Sanjeev Kumar</creatorcontrib><creatorcontrib>Abbas, Hussein Abdullah</creatorcontrib><creatorcontrib>Alawadi, Ahmed</creatorcontrib><creatorcontrib>Alsalamy, Ali</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Acta mechanica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Saidoune, Fatma Zohra</au><au>Turabi Ahmad, M. Y.</au><au>Ali, Eyhab</au><au>Fatah, Abdul Nasser Mahmood</au><au>Kareem, Anaheed Hussein</au><au>Shahab, Sana</au><au>Joshi, Sanjeev Kumar</au><au>Abbas, Hussein Abdullah</au><au>Alawadi, Ahmed</au><au>Alsalamy, Ali</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Generalized thermoelastic damping model for small-scale beams with circular cross section in the framework of nonlocal dual-phase-lag heat equation</atitle><jtitle>Acta mechanica</jtitle><stitle>Acta Mech</stitle><date>2024-07-01</date><risdate>2024</risdate><volume>235</volume><issue>7</issue><spage>4175</spage><epage>4199</epage><pages>4175-4199</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><abstract>In light of the certainty of size effect on heat conduction process in extremely small dimensions, the present article seeks to introduce a new theoretical framework for thermoelastic damping (TED) in micro-/nanobeam resonators with circular cross section by utilizing the non-Fourier model of nonlocal dual-phase-lag (NDPL). The first stage involves using NDPL model in order to develop the non-Fourier heat equation of circular cross-sectional beams in polar coordinates. This differential equation can be solved to arrive at temperature distribution in any arbitrary point of the beam. When the constitutive equations of the beam together with the extracted temperature distribution are substituted in the energy-based formulation of TED, an infinite series is produced as the TED relation in the context of NDPL model. Through a comparison study, the reliability of the acquired formula is analyzed. To shed light on how some key factors like nonclassical parameters of NDPL model, beam dimensions and material affect TED, several numerical data are prepared. 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| subjects | Classical and Continuum Physics Conduction heating Conductive heat transfer Constitutive equations Constitutive relationships Control Cross-sections Damping Differential equations Dynamical Systems Engineering Engineering Fluid Dynamics Engineering Thermodynamics Heat Heat and Mass Transfer Infinite series Original Paper Phase lag Polar coordinates Size effects Solid Mechanics Temperature distribution Theoretical and Applied Mechanics Thermodynamics Vibration |
| title | Generalized thermoelastic damping model for small-scale beams with circular cross section in the framework of nonlocal dual-phase-lag heat equation |
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