A system of several fraction laws for the identification of rotating response of FG shell |
Yahya, Ahmad
(Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University)
Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) Khadimallah, Mohamed A. (Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University) Khedher, Khaled Mohamed (Department of Civil Engineering, College of Engineering, King Khalid University) Al-Basyouni, K.S. (Mathematics Department, Faculty of Science, King Abdulaziz University) Ghandourah, Emad (Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University) Banoqitah, Essam Mohammed (Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University) Alshoaibi, Adil (Department of Physics, College of Science, King Faisal University) |
1 | Najafizadeh, M.M. and Isvandzibaei, M.R. (2007), "Vibration of (FGM) cylindrical shells based on higher order shear deformation plate theory with ring support", Acta Mechanica, 191, 75-91. http/10.1007/s00707-006-0438-0. DOI |
2 | Saito, T. and Endo, M. (1986), "Vibrations of finite length rotating cylindrical shell", J. Sound Vib., 107, 17. https://doi.org/10.1016/0022-460X(86)90279-8. DOI |
3 | Civalek, O. and Jalaei, M.H. (2020), "Buckling of carbon nanotube (CNT)-reinforced composite skew plates by the discrete singular convolution method", Acta Mechanica, 231(6), 2565-2587. https://doi.org/10.1007/s00707-020-02653-3. DOI |
4 | Mehar, K. and Panda, S.K. (2018), "Elastic bending and stress analysis of carbon nanotube-reinforced composite plate: Experimental, numerical, and simulation", Adv. Polym. Tech., 37(6), 1643-1657. https://doi.org/10.1002/adv.21821. DOI |
5 | Mehar, K., Panda, S.K., Dehengia, A. and Kar, V.R. (2016), "Vibration analysis of functionally graded carbon nanotube reinforced composite plate in thermal environment", J. Sandw. Struct. Mater., 18(2), 151-173. https://doi.org/10.1177/1099636215613324. DOI |
6 | Mesbah, H.A. and Benzaid, R. (2017), "Damage-based stress-strain model of RC cylinders wrapped with CFRP composites", Adv. Concrete Constr., 5(5), 539. https://doi.org/10.12989/acc.2017.5.5.539. DOI |
7 | Swaddiwudhipong. S., Tian. J. and Wang C.M. (1995), "Vibration of cylindrical shells with ring supports", J. Sound Vib., 187(1), 69-93. https://doi.org/10.1006/jsvi.1995.0503. DOI |
8 | Akbas, S.D. (2019), "Axially forced vibration analysis of cracked a nanorod", J. Comput. Appl. Mech., 50(1), 63-68. http://doi.org/10.22059/jcamech.2019.281285.392. DOI |
9 | Li, H. and Lam, K.Y. (1998), "Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method", Int. J. Mech. Sci., 40(5), 443-459. https://doi.org/10.1016/S0020-7403(97)00057-X. DOI |
10 | Amabili, M., Pellicano, F. and Paidoussis M.P. (1998), "Nonlinear vibrations of simply Love, A.E.H. (1888), "On the small free vibrations and deformation of thin elastic shell", Phil. Trans. R. Soc. London, A179, 491-549. |
11 | Kar, V.R. and Panda, S.K. (2015), "Thermoelastic analysis of functionally graded doubly curved shell panels using nonlinear finite element method", Compos. Struct., 129, 202-212. https://doi.org/10.1016/j.compstruct.2015.04.006. DOI |
12 | Wang S.S. and Chen, Y. (1974), "Effects of rotation on vibrations of circular cylindrical shells", J. Acoust. Soc. Am., 55, 1340-1342. https://doi.org/10.1121/1.1914708. DOI |
13 | Di Taranto, R.A. and Lessen, M. (1964), "Coriolis acceleration effect on the vibration of rotating thin-walled circular cylinder", Trans. ASME, J. Appl. Mech., 31, 700-701. https://doi.org/10.1115/1.3629733. DOI |
14 | Ergin, A. and Temarel, P. (2002), "Free vibration of a partially liquid-filled and submerged, horizontal cylindrical shell", J. Sound Vib., 254(5), 951-965. https://doi.org/10.1006/jsvi.2001.4139. DOI |
15 | Fox, C.H.J. and Hardie, D.J.W. (1985), "Harmonic response of rotating cylindrical shell", J. Sound Vib., 101, 495. https://doi.org/10.1016/S0022-460X(85)80067-5. DOI |
16 | Ahmad, M. and Naeem, M.N. (2009), "Vibration characteristics of rotating FGM circular cylindrical shell using wave propagation method", Europ. J. Sci. Res., 36(2), 184-235. |
17 | Akbas S.D. (2017a), "Free vibration of edge cracked functionally graded microscale beams based on the modified couple stress theory", Int. J. Struct. Stability Dyn., 17(3), 1750033. https://doi.org/10.1142/S021945541750033X. DOI |
18 | Ghosh, A, Miyamoto, Y, Reimanis, I. and Lannutti, J.J. (1997), "Functionally graded materials, manufacture, properties and applications", Am. Ceram. Transac., 76, 171-89. |
19 | Kagimoto, H., Yasuda, Y. and Kawamura, M. (2015), "Mechanisms of ASR surface cracking in a massive concrete cylinder", Adv. Concrete Constr., 3(1), 039. https://doi.org/10.12989/acc.2015.3.1.039. DOI |
20 | Kar, V.R. and Panda, S.K. (2015), "Free vibration responses of temperature dependent functionally graded curved panels under thermal environment", Latin Am. J. Solid. Struct., 12(11), 2006-2024. DOI |
21 | Kar, V.R. and Panda, S.K. (2016), "Post-buckling behaviour of shear deformable functionally graded curved shell panel under edge compression", Int. J. Mech. Sci., 115, 318-324. https://doi.org/10.1016/j.ijmecsci.2016.07.014. DOI |
22 | Koizumi, M. (1997), "FGM activities in Japan", Compos. Part B Eng., 28(1-2), 1-4. https://doi.org/10.1016/S1359-8368(96)00016-9. DOI |
23 | Lam K.Y. and Loy, C.T. (1994), "On vibration of thin rotating laminated composite cylindrical shells", J. Sound Vib., 116, 198. https://doi.org/10.1016/0961-9526(95)91289-S. DOI |
24 | Akbas, S.D. (2018b), "Bending of a cracked functionally graded nanobeam", Adv. Nano Res., 6(3), 219. https://doi.org/10.12989/anr.2018.6.3.219. DOI |
25 | Akbas, S.D. (2016b), "Analytical solutions for static bending of edge cracked micro beams", Struct. Eng. Mech., 59(3), 579-599. https://doi.org/10.12989/sem.2016.59.3.579. DOI |
26 | Akbas, S.D. (2017b), "Forced vibration analysis of functionally graded nanobeams", Int. J. Appl. Mech., 9(7), 1750100. https://doi.org/10.1142/S1758825117501009. DOI |
27 | Akbas, S.D. (2018a), "Forced vibration analysis of cracked functionally graded microbeams", Adv. Nano Res., 6(1), 39. https://doi.org/10.12989/anr.2018.6.1.039. DOI |
28 | Alijani, M. and Bidgoli, M.R. (2018), "Agglomerated SiO2 nanoparticles reinforced-concrete foundations based on higher order shear deformation theory: Vibration analysis", Adv. Concrete Constr., 6(6), 585. https://doi.org/10.12989/acc.2018.6.6.585. DOI |
29 | Bryan, G.H. (1890), "On the beats in the vibration of revolving cylinder", Proceedings of the Cambridge philosophical Society, 7, 101-111. |
30 | Akbas, S.D. (2020), "Modal analysis of viscoelastic nanorods under an axially harmonic load", Adv. Nano Res., 8(4), 277. https://doi.org/10.12989/anr.2020.8.4.277. DOI |
31 | Chen, Y., Zhao, H.B. and Shin, Z.P. (1993), "Vibration of high speed rotating shells with calculation for cylindrical shells", J. Sound Vib., 160, 137. https://doi.org/10.1006/jsvi.1993.1010. DOI |
32 | Zhang. X.M., Liu. G.R. and Lam, K.Y. (2001), "Coupled vibration of fluid-filled cylindrical shells using the wave propagation approach", Appl. Acoust., 62, 229-243. https://doi.org/10.1016/S0003-682X(00)00045-1. DOI |
33 | Sewall, J.L. and Naumann, E.C. (1968), An Experimental and Analytical Vibration Study of Thin Cylindrical Shells with and without Longitudinal Stiffeners, National Aeronautic and Space Administration, Springfield. |
34 | Sharma, P., Singh, R. and Hussain, H. (2019), "On modal analysis of axially functionally graded material beam under hygrothermal effect", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, https://doi.org/10.1177/0954406219888234. DOI |
35 | Suresh, S. and Mortensen, A. (1997), "Functionally gradient metals and metal ceramic composites", Part 2 Therm. Mech. Behav. Int. Mater, 42, 85-116. https://doi.org/10.1179/imr.1997.42.3.85. DOI |
36 | Sivadas, K.R. and Ganesan, N. (1964), "Effect of rotation on vibrations of moderately thin cylindrical shell", J. Vib. Acoust., 116(1),198-202. https://doi.org/10.1115/1.2930412. DOI |
37 | Chung, H., Turula, P. Mulcahy, T.M. and Jendrzejczyk, J.A. (1981), "Analysis of cylindrical shell vibrating in a cylindrical fluid region", Nucl. Eng. Des., 63(1), 109-1012. https://doi.org/10.1016/0029-5493(81)90020-0. DOI |
38 | Moazzez, K., Saeidi Googarchin, H. and Sharifi, S.M.H. (2018), "Natural frequency analysis of a cylindrical shell containing a variably oriented surface crack utilizing line-spring model", Thin Wall. Struct., 125, 63-75. https://doi.org/10.1016/j.tws.2018.01.009. DOI |
39 | Demir, A.D. and Livaoglu, R. (2019), "The role of slenderness on the seismic behavior of ground-supported cylindrical silos", Adv. Concrete Constr., 7(2), 65. https://doi.org/10.12989/acc.2019.7.2.065. DOI |
40 | Samadvand, H. and Dehestani, M. (2020), "A stress-function variational approach toward CFRP-concrete interfacial stresses in bonded joints", Adv. Concrete Constr., 9(1), 43-54. https://doi.org/10.12989/acc.2020.9.1.043. DOI |
41 | Srinivasan, A.V and Luaterbach, G.F. (1971), "Travelling waves in rotating cylindrical shells", Trans. ASME J. Eng. Indust., 93, 1229-1232. https://doi.org/10.1115/1.3428067. DOI |
42 | Kar, V.R. and Panda, S.K. (2017), "Postbuckling analysis of shear deformable FG shallow spherical shell panel under nonuniform thermal environment", J. Therm. Stress., 40(1), 25-39. https://doi.org/10.1080/01495739.2016.1207118. DOI |
43 | Ramteke, P.M. and Panda, S.K. (2021), "Free vibrational behaviour of multi-directional porous functionally graded structures", Arab. J. Sci. Eng., 46(8), 7741-7756. https://doi.org/10.1007/s13369-021-05461-6. DOI |
44 | Padovan, J. (1975), "Travelling waves vibrations and buckling of rotating anisotropic shells of revolution by finite element", Int. J. Solid Struct., 11(12), 1367-1380. https://doi.org/10.1016/0020-7683(75)90064-5. DOI |
45 | Penzes, R.L.E. and Kraus, H. (1972), "Free vibrations of pre-stresses cylindrical shells having arbitrary homogeneous boundary conditions", AIAA J., 10, 1309. https://doi.org/10.2514/3.6605. DOI |
46 | Ramteke, P.M. (2019), "Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure", Steel Compos. Struct., 33(6), 865-875. https://doi.org/10.12989/scs.2019.33.6.865. DOI |
47 | Ramteke, P.M., Mahapatra, B.P., Panda, S.K. and Sharma, N. (2020), "Static deflection simulation study of 2D Functionally graded porous structure", Mater. Today Proc., 33, 5544-5547. https://doi.org/10.1016/j.matpr.2020.03.537. DOI |
48 | Ramteke, P.M., Mehar, K., Sharma, N. and Panda, S.K. (2021), "Numerical prediction of deflection and stress responses of functionally graded structure for grading patterns (power-law, sigmoid, and exponential) and variable porosity (even/uneven)", Scientia Iranica, 28(2), 811-829. https://doi.org/10.24200/sci.2020.55581.4290. DOI |
49 | Ramteke, P.M., Patel, B. and Panda, S.K. (2020), "Time-dependent deflection responses of porous FGM structure including pattern and porosity", Int. J. Appl. Mech., 12(09), 2050102. https://doi.org/10.1142/S1758825120501021. DOI |
50 | Civalek, O . (2020), "Vibration of functionally graded carbon nanotube reinforced quadrilateral plates using geometric transformation discrete singular convolution method", Int. J. Numer. Method. Eng., 121(5), 990-1019. https://doi.org/10.1002/nme.6254. DOI |
51 | Akbas, S.D. (2018), "Forced vibration analysis of cracked nanobeams", J. Brazil. Soc. Mech. Sci. Eng., 40(8), 1-11. https://doi.org/10.1007/s40430-018-1315-1. DOI |
52 | Zohar, A. and Aboudi, J. (1973), "The free vibrations of thin circular finite rotating cylinder", Int. J. Mech. Sci., 15, 269-278. https://doi.org/10.1016/0020-7403(73)90009-X. DOI |
53 | Akbas, S.D. (2016a), "Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium", Smart Struct. Syst., 18(6), 1125-1143. https://doi.org/10.12989/sss.2016.18.6.1125. DOI |
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