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Effect of temperature on vibrations of laminated layer

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Języki publikacji
EN
Abstrakty
EN
In this note the influence of temperature on vibrations of laminated layer made of two different materials is presented. The macroscopic properties of this layer are changing continuously along one direction x1, perpendicular to the laminas. To obtain the equations describing this problem, the tolerance averaging technique is used [1]. In this work, three models are proposed: the tolerance and the asymptotic-tolerance model, taking into account the effect of the microstructure size on the overall behaviour of this type of structures, and the asymptotic model, which equations omit this effect. To solve the equations of these three models the finite difference method is used.
Rocznik
Tom
Strony
art. no. 2018032
Opis fizyczny
Bibliogr. 28 poz., il.
Twórcy
autor
  • Department of Structural Mechanics, Łódź University of Technology, al. Politechniki 6, 90-924 Łódź, Poland
  • Department of Structural Mechanics, Łódź University of Technology, al. Politechniki 6, 90-924 Łódź, Poland
Bibliografia
  • 1. J. Jędrysiak, Thermomechanics of laminates, plates and shells with functionally graded structure, Publishing House of Łódź University of Technology, Łódź 2010 [in Polish].
  • 2. V. V. Jikov, C. M. Kozlov, O. A. Oleinik, Homogenization of differential operators and integral functionals, Springer Verlag, Berlin-Heidelberg 1994.
  • 3. S.J. Matysiak, Application of the method of microlocal parameters to problems of periodic thermoelastic composites, Materials Science, 35(4) (1999) 521 - 526.
  • 4. J. Aboudi, M.J. Pindera, S.M. Arnold, Higher-order theory for functionally graded materials, Composites: Part B, 30 (1999) 777 - 832.
  • 5. J. Aboudi, M. J. Pindera, S. M. Arnold, Thermo-inelastic response of functionally graded composites, International Journal of Solids and Structures, 32(12) (1995) 1675 - 1710.
  • 6. M. Grygorowicz, K. Magnucki, M. Malinowski, Elastic buckling of a sandwich beam with variable mechanical properties of the core, Thin-Walled Structures, 87 (2015) 127 - 132.
  • 7. D. Pawlus, Stability of three-layered annular plate with composite facings, Applied Composite Materials, 24(1) (2017) 141 - 158.
  • 8. D. Pawlus, Dynamic response control of three-layered annular plate due to various parametres of electrorheological core, Archive of Mechanical Engineering, 63(1) (2016) 73 - 91.
  • 9. E. Magnucka-Blandzi, Z. Walczak, P. Jasion, L. Wittenbeck, Modelling of multi-layered band plates with trapezoidal corrugated cores: stability analysis, Archive of Applied Mechanics, 87(2) (2017) 219 - 229.
  • 10. N. Fantuzzi, F. Tornabene, Strong Formulation Isogeometric Analysis (SFIGA) for laminated composite arbitrarily shaped plates. Composites Part B: Engineering, 96 (2016) 173 - 203.
  • 11. F. Tornebene, N. Fantuzzi, M. Bacciocchi, On the mechanics of laminated doubly-curved shells subjected to point and line loads, International Journal of Engineering Science, 109 (2016) 115 - 164.
  • 12. B. Liu, A. J. M. Ferreira, Y. F. Xing, A. M. A. Neves, Analysis of composite plates using a layerwise theory and a differential quadrature finite element method, Composite Structures, 156 (2016) 393 - 398.
  • 13. C. Woźniak, E. Wierzbicki, Averaging techniques in thermomechanics of composite solids, Publishing House of Częstochowa University of Technology, Częstochowa 2000.
  • 14. C. Woźniak, B. Michalak, J. Jędrysiak, Thermomechanics of heterogeneous solids and structures, Publishing House of Łódź University of Technology, Łódź 2008.
  • 15. J. Ignaczak, A spatial decay estimate for transient thermoelastic process in a composite semispace, Journal of Thermal Stresses, 23 (2000) 1 - 14.
  • 16. Z. F. Baczyński, Dynamic thermoelastic processes in microperiodic composites, Journal of Thermal Stresses, 26 (2003) 55 - 66.
  • 17. J. Jędrysiak, On the tolerance modelling of thermoelasticity problems for transversally graded laminates, Archives of Civil and Mechanical Engineering, 11 (2011) 61 - 74.
  • 18. J. Jędrysiak, E. Pazera, Free Vibrations of Thin Microstructured Plates, Vibrations in Physical Systems, 26 (2014) 93 - 98.
  • 19. J. Jędrysiak, E. Pazera, Vibrations of Non-Periodic Thermoelastic Laminates, Vibrations in Physical Systems, 27 (2016) 175-180.
  • 20. E. Pazera, J. Jędrysiak, Thermoelastic phenomena in transversally graded laminates, Composite Structures, 134 (2015) 663 - 671.
  • 21. E. Pazera, J. Jędrysiak, Effect of microstructure in thermoelasticity problems of functionally graded laminates, Composite Structures, (2018) https://doi.org/10.1016/j.compstruct.2018.01.082.
  • 22. P. Ostrowski, B. Michalak, The combined asymptotic-tolerance model of heat conduction in a skeletal micro-heterogeneous hollow cylinder, Composite Structures, 134 (2015) 343 - 352.
  • 23. J. Marczak, J. Jędrysiak, Tolerance modelling of vibrations of periodic three-layered plates with inert core, Composite Structures, 134 (2015) 854 - 861.
  • 24. J. Marczak, J. Jędrysiak, Vibrations of plate strips with internal periodic structure, Engineering Transactions, 63(1) (2015) 93 - 108.
  • 25. J. Marczak, J. Jędrysiak, Vibrations of periodic sandwich plates with inert core, Vibrations in Physical Systems, 27 (2016) 265 - 272.
  • 26. B. Tomczyk, P. Szczerba, Tolerance and asymptotic modelling of dynamic problems for thin microstructured transversally graded shells, Composite Structures, 162 (2017) 365 - 373.
  • 27. B. Tomczyk, Dynamic stability of micro-periodic cylindrical shells, Mechanics and Mechanical Engineering, 14(2) (2010) 137 - 150.
  • 28. B. Tomczyk, On the modelling of dynamic problems for biperiodically stiffened cylindrical shells, Civil and Environmental Engineering Reports, 5 (2010) 179 - 204.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8cd19584-1b77-4333-944c-9c90b7d4ce5d
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