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http://dx.doi.org/10.12989/scs.2022.44.1.017

On propagation of elastic waves in an embedded sigmoid functionally graded curved beam  

Zhou, Linyun (School of Transportation, Southeast University)
Moradi, Zohre (Faculty of Engineering and Technology, Department of Electrical Engineering, Imam Khomeini International University)
Al-Tamimi, Haneen M. (Air Conditioning and Refrigeration Techniques Engineering Department, Al-Mustaqbal University College)
Ali, H. Elhosiny (Advanced Functional Materials & Optoelectronic Laboratory (AFMOL), Department of Physics, Faculty of Science, King Khalid University)
Publication Information
Steel and Composite Structures / v.44, no.1, 2022 , pp. 17-31 More about this Journal
Abstract
This investigation studies the characteristics of wave dispersion in sigmoid functionally graded (SFG) curved beams lying on an elastic substrate for the first time. Homogenization process was performed with the help of sigmoid function and two power laws. Moreover, various materials such as Zirconia, Alumina, Monel and Nickel steel were explored as curved beams materials. In addition, curved beams were rested on an elastic substrate which was modelled based on Winkler-Pasternak foundation. The SFG curved beams' governing equations were derived according to Euler-Bernoulli curved beam theory which is known as classic beam theory and Hamilton's principle. The resulted governing equations were solved via an analytical method. In order to validate the utilized method, the obtained outcomes were compared with other researches. Finally, the influences of various parameters, including wave number, opening angle, gradient index, Winkler coefficient and Pasternak coefficient were evaluated and indicated in the form of diagrams.
Keywords
elastic substrate; Euler-Bernoulli curved beam theory; sigmoid functionally graded; wave dispersion analysis;
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89 Matouk, H., Bousahla, A.A., Heireche, H., Bourada, F., Bedia, E., Tounsi, A., Mahmoud, S., Tounsi, A. and Benrahou, K. (2020), "Investigation on hygro-thermal vibration of P-FG and symmetric S-FG nanobeam using integral Timoshenko beam theory", Adv. Nano Res., 8(4), 293-305. https://doi.org/10.12989/anr.2020.8.4.293.   DOI
90 Michael, M., Meyyazhagan, A., Velayudhannair, K., Pappuswamy, M., Maria, A., Xavier, V., Balasubramanian, B., Baskaran, R., Kamyab, H. and Vasseghian, Y. (2022), "The Content of Heavy Metals in Cigarettes and the Impact of Their Leachates on the Aquatic Ecosystem", Sustainability, 14(8), 4752. https://doi.org/10.3390/su14084752.   DOI
91 Safarpour, H., Hajilak, Z.E. and Habibi, M. (2019), "A sizedependent exact theory for thermal buckling, free and forced vibration analysis of temperature dependent FG multilayer GPLRC composite nanostructures restring on elastic foundation", J. Mech. Mater. Des., 15(3), 569-583. https://doi.org/10.1007/s10999-018-9431-8.   DOI
92 Safaei, B. and Fattahi, A. (2017), "Free vibrational response of single-layered graphene sheets embedded in an elastic matrix using different nonlocal plate models", Mechanics, 23(5), 678-687. https://doi.org/10.5755/j01.mech.23.5.14883.   DOI
93 Safaei, B., Fattahi, A. and Chu, F. (2018), "Finite element study on elastic transition in platelet reinforced composites", Microsyst. Technol., 24(6), 2663-2671. https://doi.org/10.1007/s00542-017-3651-y.   DOI
94 Safaei, B., Naseradinmousavi, P. and Rahmani, A. (2016), "Development of an accurate molecular mechanics model for buckling behavior of multi-walled carbon nanotubes under axial compression", J. Molecular Graphics Modelling, 65, 43-60. https://doi.org/10.1016/j.jmgm.2016.02.001.   DOI
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101 Ebrahimi, F. and Seyfi, A. (2020c), "Wave propagation response of agglomerated multi-scale hybrid nanocomposite plates", Waves Random Complex Media, 32(3), 1-25. https://doi.org/10.1080/17455030.2020.1821933.   DOI
102 Ebrahimi, F. and Seyfi, A. (2020b), "Studying propagation of wave in metal foam cylindrical shells with graded porosities resting on variable elastic substrate", Eng. Comput., 38, 379-395. https://doi.org/10.1007/s00366-020-01069-w.   DOI