Year 2018, Volume 19, Issue 4, Pages 867 - 879 2018-12-31

Low frequency antiplane shear vibrations of a three-layered elastic plate

Barış ERBAŞ [1]

43 148

Antiplane shear vibrations of three-layered strongly vertically inhomogeneous laminates are considered. Polynomial long wave low frequency approximations of the exact dispersion relation are derived and further simplified for the two setups of material and geometric problem parameters corresponding, particularly, to laminated glass plates as well as photovoltaic panels. The associated 1D shortened equations of motion are also established using the conventional asymptotic procedure earlier developed for thin homogeneous structures.
Asymptotic, cut-off, dispersion, wave
  • [1] Vinson JR. The Behaviour of Sandwich Structure of Isotropic and Composite Material, CRC Press, 1999.
  • [2] Altenbach H, Eremeyev VA, Naumenko K. On the use of the first order shear deformation plate theory for the analysis of three-layer plates with thin soft core layer. ZAMM-J.Appl. Math. Mech./Zeitsch. Ange. Mathe. Mech. 2015, 95.10: 1004-1011.
  • [3] Naumenko K, Eremeyev VA. A layer-wise theory for laminated glass and photovoltaic panels. Composite Structures 2014, 112: 283-291.
  • [4] Martin TP, Layman CN, Moore KM and Orris GJ. Elastic shells with high-contrast material properties as acoustic metamaterial components. Physical Review B 2012, 85.16: 161103.
  • [5] Lee P, Chang N. Harmonic waves in elastic sandwich plates. Journal of Elasticity 1979, 9.1: 51-69.
  • [6] Wang CM, Reddy JN and Lee KH. Shear deformable beams and plates: Relationships with classical solutions, Elsevier, 2000.
  • [7] Milton GW. The theory of composites, Cambridge University Press, 2002.
  • [8] Hohe J, Librescu L. Advances in the structural modelling of elastic sandwich panels. Mechanics of Advanced Materials and Structures 2004, 11.4-5: 395-424.
  • [9] Berdichevsky VL. An asymptotic theory of sandwich plates. International Journal of Engineering Science 2010, 48.3: 383-404.
  • [10] Kaplunov J, Prikazchikov DA and Sergushova O. Multi-parametric analysis of the lowest natural frequencies of strongly inhomogeneous elastic rods. Journal of Sound and Vibration 2016, 366: 264-276.
  • [11] Kaplunov J, Prikazchikov DA and Prikazchikov LA. Dispersion of elastic waves in a strongly inhomogenous three-layered plate. International Journal of Solids and Structures 2017, 113:169-179.
  • [12] Kaplunov J, Prikazchikov DA and Prikazchikov LA. Dispersion of elastic waves in laminated glass. Procedia Engineering 2017, 199:1489-1494.
  • [13] Prikazchikov LA, Aydın YE, Erbaş B and Kaplunov J. Asymptotic analysis of anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate. Mathematics and Mechanics of Solids 2018, doi: 10.1177/1081286518790804.[14] Ewing WM, Jardetzky WS. Elastic waves in layerede media. 1st Ed. McGraw-Hill, 1957.
  • [15] Achenbach J. Wave propagation in elastic solids. Elsevier, 2012.
  • [14] Ewing WM, Jardetzky WS. Elastic waves in layered media, McGraw-Hill, 1957
Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Author: Barış ERBAŞ

Dates

Publication Date: December 31, 2018

Bibtex @research article { estubtda515783, journal = {Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering}, issn = {2667-4211}, address = {Eskişehir Teknik Üniversitesi}, year = {2018}, volume = {19}, pages = {867 - 879}, doi = {10.18038/aubtda.460365}, title = {Low frequency antiplane shear vibrations of a three-layered elastic plate}, key = {cite}, author = {ERBAŞ, Barış} }
APA ERBAŞ, B . (2018). Low frequency antiplane shear vibrations of a three-layered elastic plate. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 19 (4), 867-879. DOI: 10.18038/aubtda.460365
MLA ERBAŞ, B . "Low frequency antiplane shear vibrations of a three-layered elastic plate". Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 19 (2018): 867-879 <http://dergipark.org.tr/estubtda/issue/42733/515783>
Chicago ERBAŞ, B . "Low frequency antiplane shear vibrations of a three-layered elastic plate". Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 19 (2018): 867-879
RIS TY - JOUR T1 - Low frequency antiplane shear vibrations of a three-layered elastic plate AU - Barış ERBAŞ Y1 - 2018 PY - 2018 N1 - doi: 10.18038/aubtda.460365 DO - 10.18038/aubtda.460365 T2 - Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering JF - Journal JO - JOR SP - 867 EP - 879 VL - 19 IS - 4 SN - 2667-4211- M3 - doi: 10.18038/aubtda.460365 UR - https://doi.org/10.18038/aubtda.460365 Y2 - 2018 ER -
EndNote %0 Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering Low frequency antiplane shear vibrations of a three-layered elastic plate %A Barış ERBAŞ %T Low frequency antiplane shear vibrations of a three-layered elastic plate %D 2018 %J Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering %P 2667-4211- %V 19 %N 4 %R doi: 10.18038/aubtda.460365 %U 10.18038/aubtda.460365
ISNAD ERBAŞ, Barış . "Low frequency antiplane shear vibrations of a three-layered elastic plate". Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 19 / 4 (December 2019): 867-879. https://doi.org/10.18038/aubtda.460365
AMA ERBAŞ B . Low frequency antiplane shear vibrations of a three-layered elastic plate. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. 2018; 19(4): 867-879.
Vancouver ERBAŞ B . Low frequency antiplane shear vibrations of a three-layered elastic plate. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. 2018; 19(4): 879-867.