Behaviour of Tri-Directional Advanced Composite Beam Using Finite Element Method

Open Access

Year : 2025 | Volume : 13 | Special Issue 01 | Page : 610 620
    By

    Pankaj Sharma,

  • Ravi Kumar D,

  • Ashish Khinchi,

  1. Assistant Professor, Department of Mechanical Engineering, Rajasthan Technical University ,Kota, Rajasthan, India
  2. Research Scholar, Department of Mechanical Engineering, Rajasthan Technical University ,Kota, Rajasthan, India
  3. Technical Assistant, Department of Mechanical Engineering, Indian Institute of Technology, Jodhpur, Rajasthan, India

Abstract

The present work shows the modal analysis of tri-directional advanced composite beams using the finite element method. The mechanical parameters of the beam are supposed to vary in the direction of beam length (x), width (y), and thickness (h). In this work material parameters are assumed to vary according to the exponential rule of functionally graded material. To authenticate the accuracy of the present work, the result with a particular case is compared with those obtained by previously published work (Bi-directional beam) for a reduced case. Satisfactory results have been achieved. The influence of exponent parameters and end conditions on the natural frequency of the tri-directional advanced composite beams is reported. It has been observed that increasing the exponent parameters in the width direction results in a decrease in natural frequency for all four modes. Similarly, increasing the exponent parameter in the length direction also leads to a decrease in natural frequency for all modes. Furthermore, it can be concluded that as the length-to-thickness ratio increases, the natural frequencies decrease. In this work, COMSOL Multiphysics Software is used to obtain natural frequencies. The tailored mechanical properties of tri-directional advanced composite materials make them highly advantageous for use in aircraft structures.

Keywords: Tri-directional, hybrid composite beam, natural frequencies, exponential law; vibration analysis.

[This article belongs to Special Issue under section in Journal of Polymer and Composites (jopc)]

aWQ6MTk1MTI4fGZpbGVuYW1lOjk2YzUzYjk3LWZpLXBuZy53ZWJwfHNpemU6dGh1bWJuYWls
How to cite this article:
Pankaj Sharma, Ravi Kumar D, Ashish Khinchi. Behaviour of Tri-Directional Advanced Composite Beam Using Finite Element Method. Journal of Polymer and Composites. 2024; 13(01):610-620.
How to cite this URL:
Pankaj Sharma, Ravi Kumar D, Ashish Khinchi. Behaviour of Tri-Directional Advanced Composite Beam Using Finite Element Method. Journal of Polymer and Composites. 2024; 13(01):610-620. Available from: https://journals.stmjournals.com/jopc/article=2024/view=188363


Browse Figures

References

  1. Ghatage PS, Kar VR, Sudhagar PE. On the numerical modelling and analysis of multi-directional functionally graded composite structures: A review. Composite Structures. 2020 Mar 15;236:111837.
  2. Birman V, Byrd LW. Modeling and analysis of functionally graded materials and structures.
  3. Sharma P, Khinchi A. Comparative analysis of the behavior of Bi-directional functionally graded beams: numerical and parametric study. International Journal on Interactive Design and Manufacturing (IJIDeM). 2023 Jan 3:1-2.
  4. Sharma P, Khinchi A. On frequency investigation of bi-directional FGM beam under thermal effect. Materials Today: Proceedings. 2021 Jan 1;47:6089-92.
  5. Sharma P, Prajapati U, Khinchi A. Computational modeling of an exponential functionally graded material (EFGM) beam. International Journal on Interactive Design and Manufacturing (IJIDeM). 2022 Dec 27:1-9.
  6. Sharma P, Gupta B, Rathore SK, Khinchi A, Gautam M. Computational characteristics of an exponentially functionally graded piezoelectric beam. International Journal on Interactive Design and Manufacturing (IJIDeM). 2024 May;18(4):1989-95.
  7. Khinchi A, Sharma P. A convergence behavior of HDQ and GDQ methods to analyze vibration characteristics of different configurations of FGM beams. Materials Today: Proceedings. 2022 Jan 1;62:3670-4.
  8. Sharma P, Khinchi A. Effect of free vibration on mechanical characteristics of Bi-directional functionally graded beams under hygrothermal effect. Advances in Materials and Processing Technologies. 2024 Jul 20:1-23.
  9. Sharma P, Khinchi A. Finite element modeling of two-directional FGM beams under hygrothermal effect. International Journal on Interactive Design and Manufacturing (IJIDeM). 2023 Jan 14:1-8.
  10. Barati A, Hadi A, Nejad MZ, Noroozi R. On vibration of bi-directional functionally graded nanobeams under magnetic field. Mechanics Based Design of Structures and Machines. 2022 Jan 31;50(2):468-85.
  11. Nguyen TT, Lee J. Flexural-torsional vibration and buckling of thin-walled bi-directional functionally graded beams. Composites part b: engineering. 2018 Dec 1;154:351-62.
  12. Trinh LC, Vo TP, Thai HT, Nguyen TK. Size-dependent vibration of bi-directional functionally graded microbeams with arbitrary boundary conditions. Composites Part B: Engineering. 2018 Feb 1;134:225-45.
  13. Khaniki HB, Rajasekaran S. Mechanical analysis of non-uniform bi-directional functionally graded intelligent micro-beams using modified couple stress theory. Materials Research Express. 2018 May 2;5(5):055703.
  14. Karamanlı A. Free vibration analysis of two directional functionally graded beams using a third order shear deformation theory. Composite Structures. 2018 Apr 1;189:127-36.
  15. Wang ZH, Wang XH, Xu GD, Cheng S, Zeng T. Free vibration of two-directional functionally graded beams. Composite structures. 2016 Jan 1;135:191-8.
  16. Tang H, Nguyen NV, Lee J. Simultaneous optimal tri-directional distribution of material and porosity in functionally graded plates under free vibration. Thin-Walled Structures. 2024 Mar 1;196:111496.
  17. Karamanli A. Transient vibration analysis of strain gradient multi-directional functionally graded microplates under a moving concentrated load. Composite Structures. 2023 Mar 15;308:116678.
  18. Thai S, Nguyen VX, Lieu QX. Bending and free vibration analyses of multi-directional functionally graded plates in thermal environment: A three-dimensional Isogeometric Analysis approach. Composite Structures. 2022 Sep 1;295:115797.
  19. Do DT, Nguyen-Xuan H, Lee J. Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach. Applied Mathematical Modelling. 2020 Nov 1;87:501-33.
  20. Ahlawat N, Lal R. Buckling and vibrations of multi-directional functionally graded circular plate resting on elastic foundation. Procedia Engineering. 2016 Jan 1;144:85-93.
  21. Şimşek M. Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions. Composite Structures. 2015 Dec 1;133:968-78.
Special Issue Open Access Review Article
Volume 13
Special Issue 01
Received 02/08/2024
Accepted 07/10/2024
Published 07/12/2024
341

Login


My IP

PlumX Metrics