Skip to main content
Erschienen in: Microsystem Technologies 12/2017

14.03.2017 | Technical Paper

Thermoelastic damping in microstretch thermoelastic rectangular plate

verfasst von: Geeta Partap, Nitika Chugh

Erschienen in: Microsystem Technologies | Ausgabe 12/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The present paper deals with the deflection and thermoelastic damping analysis of micro-scale microstretch, micropolar, generalized thermoelastic thin plate. The analytical expressions for the transverse vibrations of a homogeneous, isotropic, microstretch, micropolar, generalized thermoelastic thin plate, based on Kirchhoff theory have been derived. The axial ends of the plate are assumed to be at either clamped or simply supported conditions. Analytical results for deflection, microstretch functions, temperature distribution, thermoelastic damping and frequency shift have been obtained. The numerical simulation has been carried out with the help of MATLAB software for magnesium like material. The graphical representations and interpretations have been discussed for thermoelastic damping of plate under various boundary conditions and for distinct considered values of thickness and length as well.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Berry BS (1955) Precise investigation of the theory of damping by transverse thermal currents. J Appl Phys 26:1221–1224CrossRef Berry BS (1955) Precise investigation of the theory of damping by transverse thermal currents. J Appl Phys 26:1221–1224CrossRef
Zurück zum Zitat Chandrashekhara K (2001) Theory of plates. Orient Blackswan, India Chandrashekhara K (2001) Theory of plates. Orient Blackswan, India
Zurück zum Zitat Dhaliwal RS, Singh A (1980) Dynamic coupled thermoelasticity. Hindustan Publication Corporation, New Delhi Dhaliwal RS, Singh A (1980) Dynamic coupled thermoelasticity. Hindustan Publication Corporation, New Delhi
Zurück zum Zitat Eringen AC (1999) Microcontinuum field theories I: foundation and solids. Springer, New YorkCrossRefMATH Eringen AC (1999) Microcontinuum field theories I: foundation and solids. Springer, New YorkCrossRefMATH
Zurück zum Zitat Graff KF (1975) Wave motion in elastic solids. Dover Publications Inc., New YorkMATH Graff KF (1975) Wave motion in elastic solids. Dover Publications Inc., New YorkMATH
Zurück zum Zitat Grover D (2012) Viscothermoelastic vibrations in micro-scale beam resonators with linearly varying thickness. Can J Phys 90:487–496CrossRef Grover D (2012) Viscothermoelastic vibrations in micro-scale beam resonators with linearly varying thickness. Can J Phys 90:487–496CrossRef
Zurück zum Zitat Grover D (2013) Transverse vibrations in micro-scale viscothermoelastic beam resonators. Arch Appl Mech 83(2):303–314CrossRefMATH Grover D (2013) Transverse vibrations in micro-scale viscothermoelastic beam resonators. Arch Appl Mech 83(2):303–314CrossRefMATH
Zurück zum Zitat Grover D (2015) Damping in thin circular viscothermoelastic plate resonators. Can J Phys 93(12):1597–1605CrossRef Grover D (2015) Damping in thin circular viscothermoelastic plate resonators. Can J Phys 93(12):1597–1605CrossRef
Zurück zum Zitat Leissa AW (1969) Vibration of plates. Scientific and Technical Information Division (National Aeronautics and Space Administration), Washington Leissa AW (1969) Vibration of plates. Scientific and Technical Information Division (National Aeronautics and Space Administration), Washington
Zurück zum Zitat Lord HW, Shulman Y (1967) The generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309CrossRefMATH Lord HW, Shulman Y (1967) The generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15:299–309CrossRefMATH
Zurück zum Zitat Nayfeh AH, Younis MI (2004) Modeling and simulations of thermoelastic damping in microplates. J Micromech Microeng 14:1711–1717CrossRef Nayfeh AH, Younis MI (2004) Modeling and simulations of thermoelastic damping in microplates. J Micromech Microeng 14:1711–1717CrossRef
Zurück zum Zitat Nowacki W (1975) Dynamic problems of thermoelasticity. PWN-Polish Scientific Publishers, WarszawaMATH Nowacki W (1975) Dynamic problems of thermoelasticity. PWN-Polish Scientific Publishers, WarszawaMATH
Zurück zum Zitat Partap G, Chugh N (2017) Deflection analysis of micro-scale microstretch thermoelastic beam resonators under harmonic loading. Appl Math Model 46:16–27CrossRefMathSciNet Partap G, Chugh N (2017) Deflection analysis of micro-scale microstretch thermoelastic beam resonators under harmonic loading. Appl Math Model 46:16–27CrossRefMathSciNet
Zurück zum Zitat Rao SS (2007) Vibration of continuous systems. Wiley, Hoboken, New Jersey, USA Rao SS (2007) Vibration of continuous systems. Wiley, Hoboken, New Jersey, USA
Zurück zum Zitat Sharma JN, Grover D (2012) Thermoelastic vibration analysis of Mems/Nems plate resonators with void. Acta Mechanica 223:167–187CrossRefMATHMathSciNet Sharma JN, Grover D (2012) Thermoelastic vibration analysis of Mems/Nems plate resonators with void. Acta Mechanica 223:167–187CrossRefMATHMathSciNet
Zurück zum Zitat Sun Y, Saka M (2010) Thermoelastic damping in micro-scale circular plate resonators. J Sound Vib 329:328–337CrossRef Sun Y, Saka M (2010) Thermoelastic damping in micro-scale circular plate resonators. J Sound Vib 329:328–337CrossRef
Zurück zum Zitat Sun YX, Tohmyoh H (2009) Thermoelastic damping of the axisymmetric vibration of circular plate resonators. J Sound Vib 319:392–405CrossRef Sun YX, Tohmyoh H (2009) Thermoelastic damping of the axisymmetric vibration of circular plate resonators. J Sound Vib 319:392–405CrossRef
Zurück zum Zitat Zener C (1937) Internal friction in solids I. Theory of internal friction in reeds. Phys Rev 52:230–235CrossRefMATH Zener C (1937) Internal friction in solids I. Theory of internal friction in reeds. Phys Rev 52:230–235CrossRefMATH
Zurück zum Zitat Zener C (1938) Internal friction in solids II. General theory of thermoelastic internal friction. Phys Rev 53:90–99CrossRefMATH Zener C (1938) Internal friction in solids II. General theory of thermoelastic internal friction. Phys Rev 53:90–99CrossRefMATH
Metadaten
Titel
Thermoelastic damping in microstretch thermoelastic rectangular plate
verfasst von
Geeta Partap
Nitika Chugh
Publikationsdatum
14.03.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Microsystem Technologies / Ausgabe 12/2017
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-017-3350-8

Weitere Artikel der Ausgabe 12/2017

Microsystem Technologies 12/2017 Zur Ausgabe

Neuer Inhalt