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International Journal on Interactive Design and Manufacturing (IJIDeM)
Published in:

10-03-2023 | Original Paper

Influence of axial thermal variation on modal behavior of axially functionally graded material beam

Authors: Rahul Singh, Pankaj Sharma

Published in: International Journal on Interactive Design and Manufacturing (IJIDeM) | Issue 9/2024

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Abstract

The article delves into the impact of axial thermal variations on the modal behavior of axially functionally graded material (AFGM) beams, crucial for lightweight design in aerospace structures. It highlights the importance of understanding the dynamic behaviors of these beams under complex environmental conditions, such as humidity and thermal variations. The study employs the harmonic differential quadrature (HDQ) method to analyze the free vibration characteristics of AFGM beams, considering three types of temperature distributions. The research explores the influences of temperature rise, moisture concentration, geometric index, and power law index on natural frequencies. The article presents a detailed convergence study and model verification, comparing the HDQ method with existing techniques. It also includes parametric studies on the effects of moisture concentration rise, aspect ratio, and non-homogeneity index on the dimensionless frequencies of AFGM beams. The findings reveal significant insights into the behavior of AFGM beams under various conditions, making the article a valuable resource for professionals and researchers in the field.
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Literature
1.
Song, Z., Chen, Y., Li, Z., Sha, J., Li, F.: Axially functionally graded beams and panels in supersonic airflow and their excellent capability for passive flutter suppression. Aerosp. Sci. Technol. 1(92), 668–675 (2019)CrossRef
2.
Xin, B., Zhang, Z., Zhang, J., Rong, Y.: Dynamic property regulation of axially functional graded beams for airfoil structure. In: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2016 Aug 21, vol. 50206, p. V008T10A006. American Society of Mechanical Engineers
3.
Librescu, L., Maalawi, K.: Material grading for improved aeroelastic stability in composite wings. J. Mech. Mater. Struct. 2(7), 1381–1394 (2007)CrossRef
4.
Wang, Y., Xie, K., Shi, C., Fu, T.: Nonlinear bending of axially functionally graded microbeams reinforced by graphene nanoplatelets in thermal environments. Mater. Res. Express 6, 085615 (2019)CrossRef
5.
6.
Khinchi, A., Sharma, P.: Free frequency analysis of isotropic spherical cap and FG-spherical cap with cut-out using COMSOL. In: AIP Conference Proceedings 2020 May 4, vol. 2220, no. 1, p. 130074. AIP Publishing LLC (2020). https://​doi.​org/​10.​1063/​5.​0001299
7.
Sharma, P., Kataria, S.D., Khinchi, A.: On modal analysis of bi-direction FGM beam under general end conditions. Mater. Today Proc. 44, 1853–1856 (2021)
8.
9.
Alshorbagy, A.E., Eltaher, M.A., Mahmoud, F.F.: Free frequency characteristics of a functionally graded beam by finite element method. Appl. Math. Model. 35, 412–425 (2011)MathSciNetCrossRef
10.
Nguyen, T.K., Vo, T.P.: Thai HT, Static and free frequency of axially loaded functionally graded beams based on the first-order shear deformation theory. Compos. B Eng. 55, 147–157 (2013)CrossRef
11.
Sarkar, K., Ganguli, R.: Closed-form solutions for axially functionally graded Timoshenko beams having uniform cross-section and fixed–fixed boundary condition. Compos. B Eng. 1(58), 361–370 (2014)CrossRef
12.
13.
Calim, F.F.: Transient analysis of axially functionally graded Timoshenko beams with variable cross-section. Compos. B Eng. 1(98), 472–483 (2016)CrossRef
14.
15.
Huang, Y., Wang, T., Zhao, Y., et al.: Effect of axially functionally graded material on whirling frequencies and critical speeds of a spinning Timoshenko beam. Compos. Struct. 192, 355–367 (2018)CrossRef
16.
Cao, D., Gao, Y., Yao, M., et al.: Free frequency of axially functionally graded beams using the asymptotic development method. Eng. Struct. 173, 442–448 (2018)CrossRef
17.
Aubad, M.J., Khafaji, S.O., Hussein, M.T., et al.: Modal analysis and transient response of axially functionally graded (AFG) beam using finite element method. Mater. Res. Express 6, 1065g4 (2019)CrossRef
18.
19.
20.
Akbaş, ŞD.: Free frequency of axially functionally graded beams in thermal environment. Int. J. Eng. Appl. Sci. 6(3), 37–51 (2014)
21.
Wang, Y., Wu, D.: Thermal Effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load. Acta Astronaut. 1(127), 171–181 (2016)CrossRef
22.
Ebrahimi, F., Barati, M.R.: Through-the-length temperature distribution Effects on thermal frequency analysis of nonlocal strain-gradient axially graded nanobeams subjected to nonuniform magnetic field. J. Therm. Stress. 40(5), 548–563 (2017)CrossRef
23.
Ranjbar, M., Feli, S.: Temperature-dependent analysis of axially functionally graded CNT reinforced micro-cantilever beams subjected to low velocity impact. Mech. Adv. Mater. Struct. 26(13), 1154–1168 (2019)CrossRef
24.
Mirjavadi, S.S., Rabby, S., Shafiei, N., Afshari, B.M., Kazemi, M.: On size-dependent free frequency and thermal buckling of axially functionally graded nanobeams in thermal environment. Appl. Phys. A 123(5), 315 (2017)CrossRef
25.
Azimi, M., Mirjavadi, S.S., Shafiei, N., Hamouda, A.M.: Thermo-mechanical frequency of rotating axially functionally graded nonlocal Timoshenko beam. Appl. Phys. A 123(1), 104 (2017)CrossRef
26.
Sharma, P., Singh, R., Hussain, M.: On modal analysis of axially functionally graded material beam under hygrothermal effect. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 234(5), 1085–1101 (2020)CrossRef
27.
Sharma, P., Singh, R.: Investigation on modal behaviour of FGM annular plate under hygrothermal Effect. IOP Conf. Ser. Mater. Sci. Eng. 624(1), 012001 (2019)CrossRef
28.
29.
Bellman, R.E., Casti, J.: Differential quadrature and long-term integration. J. Math. Anal. Appl. 34, 235–238 (1971)MathSciNetCrossRef
30.
31.
Parashar, S.K., Sharma, P.: Modal analysis of shear-induced flexural frequency of FGPM beam using generalized differential quadrature method. Compos. Struct. 139, 222–232 (2016)CrossRef
32.
Sharma, P., Parashar, S.K.: Free frequency analysis of shear-induced flexural frequency of FGPM annular plate using generalized differential quadrature method. Compos. Struct. 155, 213–222 (2016)CrossRef
33.
34.
35.
36.
37.
Sharma, P.: Efficacy of harmonic differential quadrature method to frequency analysis of FGPM beam. Compos. Struct. 1(189), 107–116 (2018)CrossRef
38.
Civalek, Ö.: Harmonic differential quadrature-finite differences coupled approaches for geometrically nonlinear static and dynamic analysis of rectangular plates on elastic foundation. J. Sound Freq. 294(4), 966–980 (2006)CrossRef
39.
Civalek, Ö.: Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns. Eng. Struct. 26(2), 171–186 (2004)CrossRef
40.
Striz, A.G., Wang, X., Bert, C.W.: Harmonic differential quadrature method and applicationsto analysis of structural components. Acta Mech. 111(1), 85–94 (1995)CrossRef
41.
Shu, C., Xue, H.: Explicit computation of weighting coefficients in the harmonic differential quadrature. J. Sound Vib. 204(3), 549–555 (1997)CrossRef
42.
Shu, C.: Differential Quadrature and its Application in Engineering. Springer Science & Business Media (2012)
43.
Liew, K.M., Teo, T.M., Han, J.B.: Comparative accuracy of DQ and HDQ methods forthree-dimensional frequency analysis of rectangular plates. Int. J. Numer. Methods Eng. 45(12), 1831–1848 (1999)CrossRef
44.
Huang, Y., Yang, L.E., Luo, Q.Z.: Free frequency of axially functionally graded Timoshenko beams with non-uniform cross-section. Compos. B Eng. 45, 1493–1498 (2013)CrossRef
45.
Leung, A.Y., Zhou, W.E., Lim, C.W., et al.: Dynamic stiffness for piecewise non-uniform Timoshenko column by power series—part I: conservative axial force. Int. J. Numer. Methods Eng. 51, 505–529 (2001)CrossRef
46.
Rajasekaran, S., Tochaei, E.N.: Free frequency analysis of axially functionally graded tapered Timoshenko beams using differential transformation element method and differential quadrature element method of lowest-order. Meccanica 49(4), 995–1009 (2014)MathSciNetCrossRef
47.
Zhao, Y., Huang, Y., Guo, M.: A novel approach for free frequency of axially functionally graded beams with non-uniform cross-section based on Chebyshev polynomials theory. Compos. Struct. 168, 277–284 (2017)CrossRef
Metadata
Title
Influence of axial thermal variation on modal behavior of axially functionally graded material beam
Authors
Rahul Singh
Pankaj Sharma
Publication date
10-03-2023
Publisher
Springer Paris
Published in
International Journal on Interactive Design and Manufacturing (IJIDeM) / Issue 9/2024
Print ISSN: 1955-2513
Electronic ISSN: 1955-2505
DOI
https://doi.org/10.1007/s12008-023-01255-2

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