Skip to main content
SpringerLink
Log in

Investigation of Modal Analysis of Tri-Directional Functionally Graded Material Plate

  • Conference paper
  • First Online:
Recent Advances in Materials Processing and Characterization

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 260 Accesses

Abstract

The composition and structure of FGM are varied progressively over its volume, resulting in commensurate transforms in the material elements. The COMSOL 5.5 software has created a finite element technique of FGM plate for modal analysis. The thickness, longitudinal, and axial directions of the material properties vary by power law distribution. Primarily, a simulation was run using a model developed by another researcher. The research was carried out on square FGM plates for different boundary conditions. A FEM was used to do modal analysis for various values of power index for different modes. In this study, CCCC boundary condition natural frequencies are higher than CFCF and CFFF.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bendine K, Boukhoulda BF, Nouari M, Satla Z (2016) Structural modeling and active vibration control of smart FGM plate through ANSYS. Int J Comput Methods 14(2):1750042–1750059

    Google Scholar 

  2. Lee YD, Erdogan F (1994) Residual/thermal stresses in FGM and laminated thermal barrier coatings. Int J Fract 69:145–165

    Article  Google Scholar 

  3. Wei D, Liu Y, Xiang Z (2012) An analytical method for free vibration analysis of functionally graded beams with edge cracks. J Sound Vibr 331:1686–1700

    Google Scholar 

  4. Tornabene F, Reddy JN (2013) FGM and laminated doubly-curved and degenerate shells resting on nonlinear elastic foundations: a GDQ solution for static analysis with a posteriori stress and strain recovery. World J Mech 93(4):635–688

    Google Scholar 

  5. Hebali H et al (2014) New quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates. J Eng Mech 140(2):374–383

    Google Scholar 

  6. Attia A et al (2015) Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories. Steel Compos Struct 18(1):187–212

    Google Scholar 

  7. Bennoun M, Houari MSA, Tounsi A (2016) A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates. Mech Adv Mater Struct 23(4):423–431

    Article  Google Scholar 

  8. Akbaş ŞD (2017) Vibration and static analysis of functionally graded porous plates. J Appl Comput Mech 3(3):199–207

    Google Scholar 

  9. Wang YQ (2018) Electro-mechanical vibration analysis of functionally graded piezoelectric porous plates in the translation state. Acta Astronaut 143:263–271

    Article  Google Scholar 

  10. Tu TM, Quoc TH, Long NV (2019) Vibration analysis of functionally graded plates using the eight-unknown higher order shear deformation theory in thermal environments. Aerosp Sci Technol 84:698–711

    Google Scholar 

  11. Karami B, Shahsavari D (2020) On the forced resonant vibration analysis of functionally graded polymer composite doubly-curved nanoshells reinforced with graphene-nanoplatelets. Comput Methods Appl Mech Eng 359:112767

    Google Scholar 

  12. Pham Q-H et al (2021) A nonlocal quasi-3D theory for thermal free vibration analysis of functionally graded material nanoplates resting on elastic foundation. Case Stud Therm Eng 26:101170

    Google Scholar 

  13. Do DTT, Nguyen-Xuan H, Lee J (2020) Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach. Appl Math Model 87:501–533

    Google Scholar 

  14. Şimşek M (2015) Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions. Compos Struct 133:968–978

    Article  Google Scholar 

  15. Nejad MZ, Hadi A (2016) Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams. Int J Eng Sci 105:1–11

    Google Scholar 

  16. Van Do T et al (2017) Analysis of bi-directional functionally graded plates by FEM and a new third-order shear deformation plate theory. Thin-Walled Struct 119:687–699

    Google Scholar 

  17. Lieu QX et al (2018) Bending and free vibration analyses of in-plane bi-directional functionally graded plates with variable thickness using isogeometric analysis. Compos Struct 192:434–451

    Google Scholar 

  18. Karpagaraj A et al (2020) The role of laser in manufacturing of shape memory alloy (SMA). IOP Conf Ser Mater Sci Eng 912(3):032008

    Article  CAS  Google Scholar 

  19. Tang Y, Ding Q (2019) Nonlinear vibration analysis of a bi-directional functionally graded beam under hygro-thermal loads. Compos Struct 225:111076

    Article  Google Scholar 

  20. Tang Y, Lv X, Yang T (2019) Bi-directional functionally graded beams: asymmetric modes and nonlinear free vibration. Compos Part B Eng 156:319–331

    Google Scholar 

  21. Wang C et al (2020) Material and shape optimization of bi-directional functionally graded plates by GIGA and an improved multi-objective particle swarm optimization algorithm. Comput Methods Appl Mech Eng 366:113017

    Google Scholar 

  22. Saleh B et al (2020) 30 years of functionally graded materials: an overview of manufacturing methods, applications and future challenges. Compos Part B Eng 108376

    Google Scholar 

  23. Vinh PV (2021) Analysis of bi-directional functionally graded sandwich plates via higher-order shear deformation theory and finite element method. J Sandwich Struct Mater. 10.1177.10996362211025811

    Google Scholar 

  24. Gautam M, Chaturvedi M (2021) Optimization of FGM composition for better environment material. IOP Conf Ser Mater Sci Eng 1017(1)

    Google Scholar 

  25. Gautam M, Chaturvedi M (2021) Optimization of functionally graded material under thermal stresses. Mater Today Proc 44:1520–1523

    Article  Google Scholar 

  26. Tabatabaei SJS, Fattahi AM (2020) A finite element method for modal analysis of FGM plates. Mech Based Des Struct Mach 1–12

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University Department, Mechanical Engineering, Rajasthan Technical University, Akelgarh, Kota, Rajasthan, 324010, India

    Mrinal Gautam & Manish Chaturvedi

Authors
  1. Mrinal Gautam
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Manish Chaturvedi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mrinal Gautam .

Editor information

Editors and Affiliations

  1. Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    A. Arockiarajan

  2. Department of Production Engineering, National Institute of Technology Tiruchirappalli, Tiruchirappalli, Tamil Nadu, India

    M. Duraiselvam

  3. Department of Mechanical Engineering, Sree Vidyanikethan Engineering College (Autonomous), Tirupati, Andhra Pradesh, India

    Ramesh Raju

  4. Department of Metallurgical and Materials Engineering, Gyeongsang National University, Jinju, Korea (Republic of)

    N. Subba Reddy

  5. Department of Mechanical Engineering, Gokaraju Rangaraju Institute of Engineering and Technology, Hyderabad, India

    K. Satyanarayana

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Gautam, M., Chaturvedi, M. (2023). Investigation of Modal Analysis of Tri-Directional Functionally Graded Material Plate. In: Arockiarajan, A., Duraiselvam, M., Raju, R., Reddy, N.S., Satyanarayana, K. (eds) Recent Advances in Materials Processing and Characterization. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-5347-7_16

Download citation

  • DOI: https://doi.org/10.1007/978-981-19-5347-7_16

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-5346-0

  • Online ISBN: 978-981-19-5347-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation