nach oben

International Journal on Interactive Design and Manufacturing (IJIDeM)

Erschienen in:

30.12.2022 | Original Paper

Effect of porosity inclusions on the natural frequencies of the FGM plates using dynamic stiffness method

verfasst von: Saurabh Rai, Subodh Kumar, Rajesh Singh, Ankit gupta

Erschienen in: International Journal on Interactive Design and Manufacturing (IJIDeM) | Ausgabe 5/2023

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In the present article, an exact solution has been given to investigate the influence of porosity inclusion, boundary conditions, and volume fraction index on the vibration response of functionally graded material (FGM) plates using the dynamic stiffness method (DSM). The material properties of FGM are continuously changing along the thickness direction of plates according to the power law with even porosity inclusion. Classical plate theory (CPT) along with the concept of a physical neutral surface is employed to develop the governing differential equation of motion by using Hamilton's principle. The levy type (closed form) solution is used to develop the dynamic stiffness matrix. The Wittrick-Williams algorithm has been employed to compute the exact natural frequency of the FGM plates with porosity inclusion. The efficacy and authenticity of the present formulation have been ascertained by comparing the present results with those of the literature. A comprehensive parametric study has been performed to compute the influence of various geometric and boundary configurations on the vibration response of the FGM plates.

Vorheriger Artikel Development of tool electrode by powder metallurgy technique and analysis of tool wear rate by design of experiment methodology

Nächster Artikel Computational model on influence of prestress level on vehicle-bridge coupled vibrations

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!

Jetzt informieren

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!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Gupta, A., Talha, M.: Recent development in modeling and analysis of functionally graded materials and structures. Prog. Aerosp. Sci. 79, 1–14 (2015). https://doi.org/10.1016/j.paerosci.2015.07.001CrossRef

Bansal, G., Gupta, A., Katiyar, V.: Influence of geometric discontinuities and geometric/microstructural defects on the temperature-dependent vibration response of functionally graded plates on elastic foundation. J. Brazilian Soc. Mech. Sci. Eng. 42, 10 (2020). https://doi.org/10.1007/s40430-020-02619-5CrossRef

Gupta, A., Krishna, V., Boddu, V., Vemulapalli, P., Unnava, N., Agrawal, B.N.: Geometric/microstructural imperfection sensitivity in the vibration characteristics of geometrically non-uniform functionally graded plates with mixed boundary conditions. Mech. Based Des. Struct. Mach. (2021). https://doi.org/10.1080/15397734.2021.1886947CrossRef

Kumar Chaudhari, V., Gupta, A., Talha, M.: Nonlinear vibration response of shear deformable functionally graded plate using finite element method. Procedia Technol. 23, 201–208 (2016). https://doi.org/10.1016/j.protcy.2016.03.018CrossRef

Katiyar, V., Gupta, A.: Vibration response of a geometrically discontinuous bi-directional functionally graded plate resting on elastic foundations in thermal environment with initial imperfections. Mech. Based Des. Struct. Mach. (2021). https://doi.org/10.1080/15397734.2021.1929313CrossRef

Gupta, A., Talha, M.: Influence of porosity on the flexural and free vibration responses of functionally graded plates in thermal environment. Int. J. Struct. Stab. Dyn. (2018). https://doi.org/10.1142/S021945541850013XMathSciNetCrossRef

Singh, D., Gupta, A.: Influence of geometric imperfections on the free vibrational response of the functionally graded material sandwich plates with circular cut-outs. Mater. Today Proc. (2022). https://doi.org/10.1016/j.matpr.2022.02.187CrossRef

Zhao, J., Wang, Q., Deng, X., Choe, K., Zhong, R., Shuai, C.: Free vibrations of functionally graded porous rectangular plate with uniform elastic boundary conditions. Compos. Part B Eng. 168, 106–120 (2019). https://doi.org/10.1016/j.compositesb.2018.12.044CrossRef

Zhu, J., Lai, Z., Yin, Z., Jeon, J., Lee, S.: Fabrication of ZrO2-NiCr functionally graded material by powder metallurgy. Mater. Chem. Phys. 68(1–3), 130–135 (2001). https://doi.org/10.1016/S0254-0584(00)00355-2CrossRef

10.

Rajput, M., Gupta, A.: Microstructure/geometric imperfection sensitivity on the thermo-mechanical nonlinear stability behavior of functionally graded plates using four variable refined structural kinematics. J. Strain Anal. Eng. Des. 56(7), 500–516 (2021). https://doi.org/10.1177/0309324720972874CrossRef

11.

Seifried, S., Winterer, M., Hahn, H.: Nanocrystalline gradient films through chemical vapor synthesis. Scr. Mater. 44(8–9), 2165–2168 (2001). https://doi.org/10.1016/S1359-6462(01)00898-3CrossRef

12.

Leung, A.Y.T.: Dynamic stiffness and substructures. Springer (1993)CrossRef

13.

Wittrick, W.H., Williams, F.W.: Buckling and vibration of anisotropic or isotropic plate assemblies under combined loadings. Int. J. Mech. Sci. 16(4), 209–239 (1974). https://doi.org/10.1016/0020-7403(74)90069-1CrossRefMATH

14.

Banerjee, J.R.: Dynamic stiffness formulation for structural elements: a general approach. Comput. Struct. 63(1), 101–103 (1997). https://doi.org/10.1016/S0045-7949(96)00326-4CrossRefMATH

15.

Boscolo, M., Banerjee, J.R.: Dynamic stiffness elements and their applications for plates using first order shear deformation theory. Comput. Struct. 89(3–4), 395–410 (2011). https://doi.org/10.1016/j.compstruc.2010.11.005CrossRef

16.

Boscolo, M., Banerjee, J.R.: Dynamic stiffness method for exact inplane free vibration analysis of plates and plate assemblies. J. Sound Vib. 330(12), 2928–2936 (2011). https://doi.org/10.1016/j.jsv.2010.12.022CrossRef

17.

Papkov, S.O., Banerjee, J.R.: A new method for free vibration and buckling analysis of rectangular orthotropic plates. J. Sound Vib. 339, 342–358 (2015). https://doi.org/10.1016/j.jsv.2014.11.007CrossRef

18.

Kolarevic, N., Nefovska-Danilovic, M., Petronijevic, M.: Dynamic stiffness elements for free vibration analysis of rectangular Mindlin plate assemblies. J. Sound Vib. 359, 84–106 (2015). https://doi.org/10.1016/j.jsv.2015.06.031CrossRef

19.

Nefovska-Danilovic, M., Kolarevic, N., Marjanović, M., Petronijevic, M.: Shear deformable dynamic stiffness elements for a free vibration analysis of composite plate assemblies – part i: theory. Compos. Struct. 159, 728–744 (2017). https://doi.org/10.1016/j.compstruct.2016.09.022CrossRef

20.

Kumar, S., Ranjan, V., Jana, P.: Free vibration analysis of thin functionally graded rectangular plates using the dynamic stiffness method. Compos. Struct. 197, 39–53 (2018). https://doi.org/10.1016/j.compstruct.2018.04.085CrossRef

21.

Kumar, S., Jana, P.: Application of dynamic stiffness method for accurate free vibration analysis of sigmoid and exponential functionally graded rectangular plates. Int. J. Mech. Sci. 163, 105105 (2019). https://doi.org/10.1016/j.ijmecsci.2019.105105CrossRef

22.

Kumar, S., Jana, P.: Accurate solution for free vibration behaviour of stepped FGM plates implementing the dynamic stiffness method. Structures 45, 1971–1989 (2022). https://doi.org/10.1016/j.istruc.2022.10.035CrossRef

23.

Jha, D.K., Kant, T., Singh, R.K.: Free vibration of functionally graded plates with a higher-order shear and normal deformation theory. Int. J. Struct. Stab. Dyn. 13(01), 1350004 (2013). https://doi.org/10.1142/S0219455413500041MathSciNetCrossRefMATH

24.

Belabed, Z., Ahmed Houari, M.S., Tounsi, A., Mahmoud, S.R., Anwar Bég, O.: An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates. Compos. Part B Eng. 60, 274–283 (2014). https://doi.org/10.1016/j.compositesb.2013.12.057CrossRef

25.

Thai, H.T., Kim, S.E.: A review of theories for the modeling and analysis of functionally graded plates and shells. Compos. Struct. 128, 70 (2015). https://doi.org/10.1016/j.compstruct.2015.03.010CrossRef

26.

Harrison, H.R., Nettleton, T.: “Hamilton’s principle advanced engineering dynamics. Elsevier (1997)

27.

Leissa, A.W.: The free vibration of rectangular plates. Sound Vib. 31(3), 257–293 (1973)CrossRefMATH

28.

Uymaz, B., Aydogdu, M.: Three-dimensional vibration analyses of functionally graded plates under various boundary conditions. J. Reinf. Plast. Compos. 26(18), 1847–1863 (2007). https://doi.org/10.1177/0731684407081351CrossRef

29.

Ali, M.I., Azam, M.S., Ranjan, V., Banerjee, J.R.: Free vibration of sigmoid functionally graded plates using the dynamic stiffness method and the Wittrick-Williams algorithm. Comput. Struct. (2021). https://doi.org/10.1016/J.COMPSTRUC.2020.106424CrossRef

Titel: Effect of porosity inclusions on the natural frequencies of the FGM plates using dynamic stiffness method
verfasst von: Saurabh Rai
Subodh Kumar
Rajesh Singh
Ankit gupta
Publikationsdatum: 30.12.2022
Verlag: Springer Paris
Erschienen in: International Journal on Interactive Design and Manufacturing (IJIDeM) / Ausgabe 5/2023
Print ISSN: 1955-2513
Elektronische ISSN: 1955-2505
DOI: https://doi.org/10.1007/s12008-022-01170-y

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 5/2023

Evaluation of stress intensity factors in functionally graded plate under mechanical and thermal loadings

Investigation on synergetic effect of non-contact ultrasonic casting and mushy state rolling on microstructure and hardness of Al–Si–Al2O3 nanocomposites

Modelling and optimization of selective laser melting parameters using Taguchi and super ranking concept approaches

Numerical simulation of sand–water slurry flow through pipe bend using CFD

Design and analysis of ECAP Processing for Al6061 Alloy: a microstructure and mechanical property study

Effect of interlock angle and bottom die flange diameter on clinching joint load bearing capacity in cross-tensile loading

Premium Partner