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http://dx.doi.org/10.12989/sem.2021.79.5.593

Mathematical approach for the effect of the rotation, the magnetic field and the initial stress in the non-homogeneous an elastic hollow cylinder  

Al-Basyouni, K.S. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
Mahmoud, S.R. (GRC Department, Faculty of Applied Studies, King Abdulaziz University)
Publication Information
Structural Engineering and Mechanics / v.79, no.5, 2021 , pp. 593-599 More about this Journal
Abstract
The present paper investigates the frequencies based on the radial vibrations of a non-homogeneous elastic cylinder using different boundary conditions (BCs) under the rotating, non-homogeneity, and magnetic field effects. Three different BCs, the free, mixed, and fixed, are implemented. The solution is related to using the eigenvalues based on the radial vibrations frequencies for different boundary conditions in harmonic vibrations. The numeric outcomes are demonstrated graphically for each case-the comparison of the results in the nonappearance and variation of the non-homogeneity, rotating effects, and magnetic field. The obtained outcomes specify the rotating, non-homogeneity, and magnetic field effects.
Keywords
initial stress; magnetic field; non-homogeneous; rotation; vibrations;
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1 Rabhi, M., Benrahou, K.H., Kaci, A., Houari, M.S.A., Bourada, F., Bousahla, A.A., Tounsi, A., Adda Bedia, E.A., Mahmoud, S.R., Tounsi, A. (2020), "A new innovative 3-unknowns HSDT for buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Geomech. Eng., 22(2). 119-132. https://doi.org/10.12989/gae.2020.22.2.119.   DOI
2 Singh, V.K., Hirwani, C.K., Panda, S.K., Mahapatra, T.R. and Mehar, K. (2019a), "Numerical and experimental nonlinear dynamic response reduction of smart composite curved structure using collocation and non-collocation configuration", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 233(5), 1601-1619. https://doi.org/10.1177/0954406218774362.   DOI
3 Abd-Alla, A.M., Nofal, T.A. and Farhan, A.M. (2008), "Effect of the non-homogenity on the composite infinite cylinder of isotropic material", Phys. Lett. A, 372(29), 4861-4864.. https://doi.org/10.1016/j.physleta.2008.01.088.   DOI
4 Al-Basyouni, K.S. and Mahmoud, S.R. (2021), "Effect of the magnetic field, initial stress, rotation, and nonhomogeneity on stresses in orthotropic material", Phys. Mesomech., 24(3), 303-310. https://doi.org/10.1134/S1029959921030085.   DOI
5 Al-Basyouni, K.S., Dakhel, B., Ghandourah, E. and Algarni, A. (2020a), "An analytical solution for the problem of stresses in magneto-piezoelectric thermoelastic material under the influence of rotation", Phys. Mesomech., 23(4), 362-368. https://doi.org/10.1134/S1029959920040116.   DOI
6 Alwabli, A.S., Kaci, A., Bellifa, H., Bousahla, A.A., Tounsi, A., Alzahrani, D.A., ... & Hussain, M. (2021), "The nano scale buckling properties of isolated protein microtubules based on modified strain gradient theory and a new single variable trigonometric beam theory", Adv. Nano Res., 10(1), 15. http://doi.org/10.12989/anr.2021.10.1.015.   DOI
7 Bakhadda, B., Bouiadjra, M.B., Bourada, F., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2018), "Dynamic and bending analysis of carbon nanotube-reinforced composite plates with elastic foundation", Wind Struct., 27(5), 311-324. http://doi.org/10.12989/was.2018.27.5.311.   DOI
8 Mohandes, M. and Ghasemi, A.R. (2016), "Finite strain analysis of nonlinear vibrations of symmetric laminated composite Timoshenko beams using generalized differential quadrature method", J. Vib. Control, 22(4), 940-954. https://doi.org/10.1177/1077546314538301.   DOI
9 Menasria, A., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H., Tounsi, A., Adda Bedia, E.A. and Mahmoud, S.R. (2020), "A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions", Steel Compos. Struct., 36(3), 355-367. https://doi.org/10.12989/scs.2020.36.3.355.   DOI
10 Meskini, M. and Ghasemi, A.R. (2020), "Electro-magnetic potential effects on free vibration of rotating circular cylindrical shells of functionally graded materials with laminated composite core and piezo electro-magnetic two face sheets", J. Sandw. Struct. Mater., 1099636220909751. https://doi.org/10.1177/1099636220909751.   DOI
11 Sadoun, M., Houari, M.S.A., Bakora, A., Tounsi, A., Mahmoud, S.R. and Alwabli, A.S. (2018), "Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory", Geomech. Eng., 16(2), 141-150. http://doi.org/10.12989/gae.2018.16.2.141.   DOI
12 Singh, V.K. and Panda, S.K. (2015), "Large amplitude free vibration analysis of laminated composite spherical shells embedded with piezoelectric layers", Smart Struct. Syst., 16(5), 853-872. http://doi.org/10.12989/sss.2015.16.5.853.   DOI
13 Ghandourah, E. (2021), "Nonlocal elasticity theory for the mechanical behavior of protein microtubules", Phys. Mesomech., 24(3), 319-325. https://doi.org/10.1134/S1029959921030103.   DOI
14 Bellal, M., Hebali, H., Heireche, H., Bousahla, A.A., Tounsi, A., Bourada, F., Mahmoud, S.R., Adda Bedia, E.A. and Tounsi, A. (2020), "Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal four-unknown integral model", Steel Compos. Struct., 34(5), 643-655. https://doi.org/10.12989/scs.2020.34.5.643.   DOI
15 Benmansour, D.L., Kaci, A., Bousahla, A.A., Heireche, H., Tounsi, A., Alwabli, A.S., ... & Mahmoud, S.R. (2019), "The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory", Adv. Nano Res., 7(6), 443-457. https://doi.org/10.12989/anr.2019.7.6.443.   DOI
16 Dutta, G., Panda, S.K., Mahapatra, T.R. and Singh, V.K., (2017), "Electro-magneto-elastic response of laminated composite plate: A finite element approach", Int. J. Appl. Comput. Math., 3(3), 2573-2592. https://doi.org/10.1007/s40819-016-0256-6.   DOI
17 Ghasemi, A.R. and Hosseinpour, K. (2018), "Thermo-magnetomechanical long-term creep behavior of three-phase nanocomposite cylinder", Compos. Sci. Technol., 167, 71-78. https://doi.org/10.1016/j.compscitech.2018.07.028.   DOI
18 Belbachir, N., Bourada, M., Draiche, K., Tounsi, A., Bourada, F., Bousahla, A.A. and Mahmoud, S.R. (2020), "Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory", Smart Struct. Syst., 25(4), 409-422. https://doi.org/10.12989/sss.2020.25.4.409.   DOI
19 Bourada, F., Bousahla, A.A., Tounsi, A., Adda Bedia, E.A., Mahmoud, S.R., Benrahou, K.H. and Tounsi, A. (2020a), "Stability and dynamic analyses of SW-CNT reinforced concrete beam resting on elastic-foundation", Comput. Concrete, 25(6), 485-495. https://doi.org/10.12989/cac.2020.25.6.485.   DOI
20 Katariya, P.V., Das, A. and Panda, S.K. (2018), "Buckling analysis of SMA bonded sandwich structure-using FEM", IOP Conf. Ser.: Mater. Sci. Eng., 338(1), 012035.
21 Mahmoud, S.R., Al-Solami, H.M., Alkenani, N., Alhebshi, A.M., Alwabli, A.S. and Bahieldin, A. (2020), "A mechanical model to investigate Aedesaegypti mosquito bite using new techniques and its applications", Membr. Water Treat., 11(6), 399. http://doi.org/10.12989/mwt.2020.11.6.399.   DOI
22 Hetnarski, R.B. and Ignaczak, J. (2016), The Mathematical Theory of Elasticity, CRC Press.
23 Panda, S.K. and Singh, B.N. (2013), "Post-buckling analysis of laminated composite doubly curved panel embedded with SMA fibers subjected to thermal environment", Mech. Adv. Mater. Struct., 20(10), 842-853. https://doi.org/10.1080/15376494.2012.677097.   DOI
24 Ghasemi, A.R. and Meskini, M. (2019), "Free vibration analysis of porous laminated rotating circular cylindrical shells", J. Vib. Control, 25(18), 2494-2508. https://doi.org/10.1177/1077546319858227.   DOI
25 Ghasemi, A.R. and Mohandes, M. (2017), "Nonlinear free vibration of laminated composite Euler-Bernoulli beams based on finite strain using generalized differential quadrature method", Mech. Adv. Mater. Struct., 24(11), 917-923. https://doi.org/10.1080/15376494.2016.1196794.   DOI
26 Ghasemi, A.R. and Mohandes, M. (2019), "Free vibration analysis of rotating fiber-metal laminate circular cylindrical shells", J. Sandw. Struct. Mater., 21(3), 1009-1031. https://doi.org/10.1177/1099636217706912.   DOI
27 Ghasemi, A.R., Taheri-Behrooz, F., Farahani, S.M.N. and Mohandes, M. (2016), "Nonlinear free vibration of an Euler-Bernoulli composite beam undergoing finite strain subjected to different boundary conditions", J. Vib. Control, 22(3), 799-811. https://doi.org/10.1177/1077546314528965.   DOI
28 Katariya, P.V., Panda, S.K., Hirwani, C.K., Mehar, K. and Thakare, O. (2017), "Enhancement of thermal buckling strength of laminated sandwich composite panel structure embedded with shape memory alloy fibre", Smart Struct. Syst., 20(5), 595-605. http://doi.org/10.12989/sss.2017.20.5.595.   DOI
29 Heydarpour, Y., Malekzadeh, P., Dimitri, R. and Tornabene, F. (2020), "Thermoelastic analysis of rotating multilayer FG-GPLRC truncated conical shells based on a coupled TDQM-NURBS scheme", Compos. Struct., 235, 111707. https://doi.org/10.1016/j.compstruct.2019.111707.   DOI
30 Khadimallah, M.A., Safeer, M., Taj, M., Ayed, H., Hussain, M., Bouzgarrou, S.M., ... & Tounsi, A. (2020) "The effects of the surrounding viscoelastic media on the buckling behavior of single microfilament within the cell: A mechanical model", Adv. Concrete Constr., 10(2), 141. https://doi.org/10.12989/acc.2020.10.2.141.   DOI
31 Al-Basyouni, K.S., Ghandourah, E., Mostafa, H.M. and Algarni, A. (2020b), "Effect of the rotation on the thermal stress wave propagation in non-homogeneous viscoelastic body", Geomech. Eng., 21(1), 1-9. https://doi.org/10.12989/gae.2020.21.1.001.   DOI
32 Singh, V.K., Hirwani, C.K., Panda, S.K., Mahapatra, T.R. and Mehar, K. (2019b), "Numerical and experimental nonlinear dynamic response reduction of smart composite curved structure using collocation and non-collocation configuration", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 233(5), 1601-1619. https://doi.org/10.1177/0954406218774362.   DOI
33 Singh, V.K., Mahapatra, T.R. and Panda, S.K. (2016a), "Nonlinear transient analysis of smart laminated composite plate integrated with PVDF sensor and AFC actuator", Compos. Struct., 157, 121-130. https://doi.org/10.1016/j.compstruct.2016.08.020.   DOI
34 Singh, V.K., Mahapatra, T.R. and Panda, S.K. (2016b), "Nonlinear flexural analysis of single/doubly curved smart composite shell panels integrated with PFRC actuator", Eur. J. Mech.-A/Solid., 60, 300-314. https://doi.org/10.1016/j.euromechsol.2016.08.006.   DOI
35 Tornabene, F. (2019), "On the critical speed evaluation of arbitrarily oriented rotating doubly-curved shells made of functionally graded materials", Thin Wall. Struct., 140, 85-98. https://doi.org/10.1016/j.tws.2019.03.018.   DOI
36 Panda, S.K. and Singh, B.N. (2013), "Large amplitude free vibration analysis of thermally post-buckled composite doubly curved panel embedded with SMA fibers", Nonlin. Dyn., 74(1), 395-418. https://doi.org/10.1007/s11071-013-0978-5.   DOI
37 Ramady, A., Dakhel, B., Balubaid, M. and Mahmoud, S.R. (2020), "A mathematical approach for the effect of the rotation on thermal stresses in the piezo-electric homogeneous material", Comput. Concrete, 25(5), 471-478. https://doi.org/10.12989/cac.2020.25.5.471.   DOI
38 Ramady, A., Mahmoud, S.R. and Atia, H.A. (2020), "A theoretical approach in 2d-space with applications of the periodic wave solutions in the elastic body", Membr. Water Treat., 11(4), 295-302. https://doi.org/10.12989/mwt.2020.11.4.295.   DOI
39 Bousahla, A.A., Bourada, F., Mahmoud, S.R., Tounsi, A., Algarni, A., Adda Bedia, E.A. and Tounsi, A. (2020b), "Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformation theory", Comput. Concrete, 25(2), 155-166. https://doi.org/10.12989/cac.2020.25.2.155.   DOI