참고문헌
- Abdelrahman, A.A. and El-Shafei, A.G. (2020), "Modeling and analysis of the transient response of viscoelastic solids", Waves Random Complex Media, 31(6), 1990-2020. https://doi.org/10.1080/17455030.2020.1714790.
- Abdelrahman, A.A., Mohamed, N.A. and Eltaher, M.A. (2020a), "Static bending of perforated nanobeams including surface energy and microstructure effects", Eng. Comput., 1-21. https://doi.org/10.1007/s00366-020-01149-x.
- Abdelrahman, A.A., Nabawy, A.E., Abdelhaleem, A.M., Alieldin, S.S. and Eltaher, M.A. (2020a), "Nonlinear dynamics of viscoelastic flexible structural systems by finite element method", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01141-5.
- Abdalrahmaan, A.A., Eltaher, M.A., Kabeel, A.M., Abdraboh, A.M., and Hendi, A.A. (2019), "Free and Forced Analysis of Perforated Beams", Steel Compos. Struct., 31(5), 489-502. https://doi.org/10.12989/scs.2019.31.5.489.
- Abdulrazzaq, M.A., Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2020), "Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory", Steel Compos. Struct., 35(1), 147-157. https://doi.org/10.12989/scs.2020.35.1.147.
- Akgoz, B. and Civalek, O. (2013a), "Free vibration analysis of axially functionally graded tapered Bernoulli-Euler microbeams based on the modified couple stress theory", Compos. Struct., 98, 314-322. https://doi.org/10.1016/j.compstruct.2012.11.020.
- Akgoz, B. and Civalek, O. (2013b), "Buckling analysis of functionally graded microbeams based on the strain gradient theory", Acta Mechanica, 224(9), 2185-2201. https://doi.org/10.1007/s00707-013-0883-5.
- Akbas, S.D. (2018a), "Forced vibration analysis of cracked nanobeams", J. Brazilian Soc. Mech. Sci. Eng., 40(8), 392. https://doi.org/10.1007/s40430-018-1315-1.
- Akbas, S.D. (2018b), "Forced vibration analysis of cracked functionally graded microbeams", Adv. Nano Res., 6(1), 39-55. https://doi.org/10.12989/anr.2018.6.1.039.
- Akbas, S.D. (2019a), "Hygro-Thermal Nonlinear Analysis of a Functionally Graded Beam", J. Appl. Comput. Mech., 5(2), 477-485.
- Akbas, S.D. (2019b), "Forced vibration analysis of functionally graded sandwich deep beams", Coupl. Syst. Mech., 8(3), 259-271. http://doi.org/ 10.22055/JACM.2018.26819.1360.
- Akbas, S.D., Fageehi, Y.A., Assie, E.A. and Eltaher, M.A. (2020), "Dynamic Analysis of Visco-Elastic Functionally Graded Porous Thick Beams under Pulse load", Eng. Comput., 1-18. https://doi.org/ 10.1007/s00366-020-01070-3.
- Akbas, S.D., Bashiri, A.H., Assie, A.E. and Eltaher, M.A. (2021a), "Dynamic analysis of thick beams with functionally graded porous layers and viscoelastic support", J. Vib. Control, 27(13-14), 1644-1655. https://doi.org/10.1177/1077546320947302.
- Alazwari, M.A., Esen, I., Abdelrahman, A.A., Abdraboh, A.M. and Eltaher, M.A. (2022), "Dynamic analysis of functionally graded (FG) nonlocal strain gradient nanobeams under thermomagnetic fields and moving load", Adv. Nano Res., 34(4), 231-251. https://doi.org/10.12989/anr.2022.12.3.231.
- Almitani, K.H., Abdalrahmaan, A.A. and Eltaher, M.A., (2019), "On Forced and Free Vibrations of Cutout Squared Beams", Steel Compos. Struct., 32(5), 643-655. https://doi.org/10.12989/scs.2019.32.5.643.
- Almitani, K.H., Abdalrahmaan, A.A. and Eltaher, M.A. (2020), "Stability of Perforated Nanobeams Incorporating Surface Energy Effects", Steel Compos. Struct., 35(4), 643-655. https://doi.org/10.12989/scs.2020.35.4.555.
- Alnujaie, A., Akbas, S.D., Eltaher, M.A. and Assie, A. (2021a), "Forced vibration of a functionally graded porous beam resting on viscoelastic foundation", Geomech. Eng., 24(1), 91-103. https://doi.org/10.12989/gae.2021.24.1.091.
- Alnujaie, A., Akbas, S.D., Eltaher, M.A. and Assie, A.E. (2021b), "Damped forced vibration analysis of layered functionally graded thick beams with porosity", Smart Struct. Syst., 27(4), 679-689. http://dx.doi.org/10.12989/sss.2021.27.4.669.
- Alshorbagy, A.E., Eltaher, M.A. and Mahmoud, F.F. (2011), "Free vibration characteristics of a functionally graded beam by finite element method", Appl. Math. Modelling, 35(1), 412-425. https://doi.org/10.1016/j.apm.2010.07.006.
- Arioui, O., Belakhdar, K., Kaci, A. and Tounsi, A. (2018), "Thermal buckling of FGM beams having parabolic thickness variation and temperature dependent materials", Steel Compos. Struct., 27(6), 777-788. https://doi.org/10.12989/scs.2018.27.6.777.
- Assie, A.E., Eltaher, M.A. and Mahmoud, F.F. (2011), "Behavior of a viscoelastic composite plates under transient load", J. Mech. Sci. Technol., 25(5), 1129. https://doi.org/10.1007/s12206-011-0302-6.
- Arshid, E., Khorasani, M., Soleimani-Javid, Z., Amir, S. and Tounsi, A. (2021), "Porosity-dependent vibration analysis of FG microplates embedded by polymeric nanocomposite patches considering hygrothermal effect via an innovative plate theory", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-021-01382-y.
- Atmane, H.A., Tounsi, A., Bernard, F. and Mahmoud, S.R. (2015), "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities", Steel Compos. Struct., 19(2), 369-384. https://doi.org/10.12989/scs.2015.19.2.369.
- Attia, M.A. and Mahmoud, F.F. (2017), "Analysis of viscoelastic Bernoulli-Euler nanobeams incorporating nonlocal and microstructure effects", J. Mech. Mater. Design, 13(3), 385-406. https://doi.org/10.1007/s10999-016-9343-4.
- Attia, M.A. and Emam, S.A. (2018), "Electrostatic nonlinear bending, buckling and free vibrations of viscoelastic microbeams based on the modified couple stress theory", Acta Mechanica, 229(8), 3235-3255. https://doi.org/10.1007/s00707-018-2162-y.
- Attia, M.A., Eltaher, M.A., Soliman, A., Abdelrahman, A.A. and Alshorbagy, A.E. (2018), "Thermoelastic Crack Analysis in Functionally Graded Pipelines Conveying Natural Gas by an FEM", J. Appl. Mech., 10(04), 1850036. https://doi.org/10.1142/S1758825118500369.
- Attia, M.A. and Rahman, A.A.A. (2018), "On vibrations of functionally graded viscoelastic nanobeams with surface effects", J. Eng. Sci., 127, 1-32. https://doi.org/10.1016/j.ijengsci.2018.02.005.
- Barati, M.R. (2017), "Investigating dynamic response of porous inhomogeneous nanobeams on hybrid Kerr foundation under hygro-thermal loading", Appl. Phys. A, 123(5), 332. https://doi.org/10.1007/s00339-017-0908-3.
- Barka, M., Benrahou, K.H., Bakora, A. and Tounsi, A. (2016), "Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation", Steel Compos. Struct., 22(1), 91-112. https://doi.org/10.12989/scs.2016.22.1.091.
- Bashiri, A.H., Akbas, S.D., Abdelrahman, A.A., Assie, A., Eltaher, M.A. and Mohamed, E.F. (2021), "Vibration of multilayered functionally graded deep beams under thermal load", Geomech. Eng., 24(6), 545-557. https://doi.org/10.12989/gae.2021.24.6.545.
- Calim, F.F. (2016), "Free and forced vibration analysis of axially functionally graded Timoshenko beams on two-parameter viscoelastic foundation", Compos. Part B Eng., 103, 98-112. https://doi.org/10.1016/j.compositesb.2016.08.008.
- Chen, D., Yang, J. and Kitipornchai, S. (2015), "Elastic buckling and static bending of shear deformable functionally graded porous beam", Compos. Struct., 133, 54-61. https://doi.org/10.1016/j.compstruct.2015.07.052.
- Dastjerdi, S., Tadi Beni, Y. and Malikan, M. (2020), "A comprehensive study on nonlinear hygro-thermo-mechanical analysis of thick functionally graded porous rotating disk based on two quasi-three-dimensional theories", Mech. Based Des. Struct. Machine, 1-30. https://doi.org/10.1080/15397734.2020.1814812.
- Dastjerdi, S., Malikan, M., Dimitri, R. and Tornabene, F. (2021), "Nonlocal elasticity analysis of moderately thick porous functionally graded plates in a hygro-thermal environment", Compos. Struct., 255, 112925. https://doi.org/10.1016/j.compstruct.2020.112925.
- de Galarreta, S.R., Jeffers, J.R. and Ghouse, S. (2020), "A validated finite element analysis procedure for porous structures", Mater. Des., 189, 108546. https://doi.org/10.1016/j.matdes.2020.108546.
- Deng, J., Liu, Y., Zhang, Z. and Liu, W. (2017), "Stability analysis of multi-span viscoelastic functionally graded material pipes conveying fluid using a hybrid method", European J. Mech. A/Solids, 65, 257-270. https://doi.org/10.1016/j.euromechsol.2017.04.003.
- Ebrahimi, F. and Barati, M.R. (2017), "Vibration analysis of viscoelastic inhomogeneous nanobeams resting on a viscoelastic foundation based on nonlocal strain gradient theory incorporating surface and thermal effects", Acta Mechanica, 228(3), 1197-1210. https://doi.org/10.1007/s00707-016-1755-6.
- Eltaher, M.A., Alshorbagy, A.E. and Mahmoud, F.F. (2013), "Determination of neutral axis position and its effect on natural frequencies of functionally graded macro/nanobeams", Compos. Struct., 99, 193-201. https://doi.org/10.1016/j.compstruct.2012.11.039.
- Eltaher, M.A., Khairy, A., Sadoun, A.M. and Omar, F.A. (2014a), "Static and buckling analysis of functionally graded Timoshenko nanobeams", Appl. Math. Comput., 229, 283-295. https://doi.org/10.1016/j.amc.2013.12.072.
- Eltaher, M.A., Abdelrahman, A.A., Al-Nabawy, A., Khater, M. and Mansour, A. (2014a), "Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position", Appl. Math. Comput., 235, 512-529. https://doi.org/10.1016/j.amc.2014.03.028.
- Eltaher, M.A., Attia, M.A., Soliman, A.E. and Alshorbagy, A.E. (2018a), "Analysis of crack occurs under unsteady pressure and temperature in a natural gas facility by applying FGM", Struct. Eng. Mech., 66(1), 97-111. https://doi.org/10.12989/sem.2018.66.1.097.
- Eltaher, M.A., Fouda, N., El-midany, T. and Sadoun, A.M. (2018b), "Modified porosity model in analysis of functionally graded porous nanobeams", J. Brazilian Soc. Mech. Sci. Eng., 40(3), 1-10. https://doi.org/10.1007/s40430-018-1065-0.
- Eltaher, M.A., Mohamed, S.A., (2020), "Buckling and stability analysis of sandwich beams subjected to varying axial loads", Steel Compos. Struct., 34(4), 241-260. http://dx.doi.org/10.12989/scs.2020.34.2.241.
- Eltaher, M.A., Mohamed, S.A. and Melaibari, A. (2020a), "Static stability of a unified composite beams under varying axial loads", Thin-Wall. Struct., 147, 106488. https://doi.org/10.1016/j.tws.2019.106488.
- Emam, S., Eltaher, M., Khater, M. and Abdalla, W. (2018), "Postbuckling and free vibration of multilayer imperfect nanobeams under a pre-stress load", Appl. Sci., 8(11), 2238. https://doi.org/10.3390/app8112238.
- Esen, I., Abdelrhmaan, A.A. and Eltaher, M.A. (2021a), "Free vibration and buckling stability of FG nanobeams exposed to magnetic and thermal fields", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-021-01389-5.
- Esen, I., Ozarpa, C. and Eltaher, M.A. (2021b), "Free vibration of a cracked FG microbeam embedded in an elastic matrix and exposed to magnetic field in a thermal environment", Compos. Struct., 261, 113552. https://doi.org/10.1016/j.compstruct.2021.113552.
- Esen, I., Abdelrahman, A.A. and Eltaher, M.A. (2021c), "On vibration of sigmoid/symmetric functionally graded nonlocal strain gradient nanobeams under moving load", J. Mech. Mater. Design, 17, 721-742. https://doi.org/10.1007/s10999-021-09555-9.
- Esen, I., Eltaher, M.A. and Abdelrahman, A.A. (2021d), "Vibration response of symmetric and sigmoid functionally graded beam rested on elastic foundation under moving point mass", Mech. Based Design Struct. Machine, 1-25. https://doi.org/10.1080/15397734.2021.1904255.
- Ghadiri, M., Shafiei, N. and Babaei, R. (2017), "Vibration of a rotary FG plate with consideration of thermal and Coriolis effects", Steel Compos. Struct., 25(2), 197-207. https://doi.org/10.12989/scs.2017.25.2.197
- Ghandourh, E.E. and Abdraboh, A.M. (2020), "Dynamic analysis of functionally graded nonlocal nanobeam with different porosity models", Steel Compos. Struct., 36(3), 293-305. https://doi.org/10.12989/scs.2020.36.3.293
- Ghayesh, M.H. (2019a), "Resonant vibrations of FG viscoelastic imperfect Timoshenko beams", J. Vib. Control, 25(12), 1823-1832. https://doi.org/10.1177/1077546318825167.
- Ghayesh, M.H. (2019b), "Viscoelastic nonlinear dynamic behaviour of Timoshenko FG beams", Europ. Phys. J. Plus, 134(8), 401. https://doi.org/10.1140/epjp/i2019-12472-x
- Golmakani, M.E., Malikan, M., Pour, S.G. and Eremeyev, V.A. (2021), "Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method", Continuum Mech. Thermodynam., 1-20. https://doi.org/10.1007/s00161-021-00995-4
- Guellil, M., Saidi, H., Bourada, F., Bousahla, A.A., Tounsi, A., Al-Zahrani, M.M., and Mahmoud, S.R. (2021), "Influences of porosity distributions and boundary conditions on mechanical bending response of functionally graded plates resting on Pasternak foundation", Steel Compos. Struct., 38(1), 1-15. https://doi.org/10.12989/scs.2021.38.1.001.
- Hamed, M.A., Sadoun, A.M. and Eltaher, M.A. (2019), "Effects of porosity models on static behavior of size dependent functionally graded beam", Struct. Eng. Mech., 71(1), 89-98. https://doi.org/10.12989/sem.2019.71.1.089./
- Hamed, M.A., Abo-bakr, R.M., Mohamed, S.A. and Eltaher, M. A. (2020a), "Influence of axial load function and optimization on static stability of sandwich functionally graded beams with porous core", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-020-01023-w
- Hamed M.A., Mohamed, S.A. and Eltaher, M.A. (2020b), "Buckling Analysis of Sandwich Beam Rested on Elastic Foundation and Subjected to Varying Axial In-Plane Loads", Steel Compos. Struct., 34(2), 75-89. https://doi.org/10.12989/scs.2020.34.1.075.
- Jena, S.K., Chakraverty, S., Malikan, M. and Sedighi, H. (2020), "Implementation of Hermite-Ritz method and Navier's technique for vibration of functionally graded porous nanobeam embedded in Winkler-Pasternak elastic foundation using bi-Helmholtz nonlocal elasticity", J. Mech. Mater. Struct., 15(3), 405-434. https://doi.org/10.2140/jomms.2020.15.405.
- Jena, S.K., Chakraverty, S. and Malikan, M. (2021), "Application of shifted Chebyshev polynomial-based Rayleigh-Ritz method and Navier's technique for vibration analysis of a functionally graded porous beam embedded in Kerr foundation", Eng. Comput., 37(4), 3569-3589. https://doi.org/10.1007/s00366-020-01018-7.
- Joseph, S.V. and Mohanty, S.C. (2017), "Free vibration of a rotating sandwich plate with viscoelastic core and functionally graded material constraining layer", J. Struct. Stability Dyn., 17(10), 1750114. https://doi.org/10.1142/S0219455417501140
- Karami, B., Shahsavari, D., Nazemosadat, S.M.R., Li, L. and Ebrahimi, A. (2018), "Thermal buckling of smart porous functionally graded nanobeam rested on Kerr foundation", Steel Compos. Struct., 29(3), 349-362. https://doi.org/10.12989/scs.2018.29.3.349.
- Koutromanos, I. (2018), Fundamentals of Finite Element Analysis: Linear Finite Element Analysis, John Wiley and Sons, NJ, USA.
- Liang, X., Wang, Z., Wang, L. and Liu, G. (2014), "Semianalytical solution for three-dimensional transient response of functionally graded annular plate on a two parameter viscoelastic foundation", J. Sound Vib., 333(12), 2649-2663. https://doi.org/10.1016/j.jsv.2014.01.021.
- Loghman, E., Kamali, A., Bakhtiari-Nejad, F. and Abbaszadeh, M. (2021), "Nonlinear free and forced Vibrations of fractional modeled viscoelastic FGM micro-beam", Appl. Math. Modelling, 92, 297-314. https://doi.org/10.1016/j.apm.2020.11.011
- Malikan, M., Tornabene, F. and Dimitri, R. (2018), "Nonlocal three-dimensional theory of elasticity for buckling behavior of functionally graded porous nanoplates using volume integrals", Materials Res. Express, 5(9), 095006. https://doi.org/10.1088/2053-1591/aad4c3.
- Malikan, M. and Eremeyev, V.A. (2020), "A new hyperbolic-polynomial higher-order elasticity theory for mechanics of thick FGM beams with imperfection in the material composition", Compos. Struct., 249, 112486. https://doi.org/10.1016/j.compstruct.2020.112486.
- Mirjavadi, S.S., Afshari, B.M., Shafiei, N., Hamouda, A.M.S. and Kazemi, M. (2017), "Thermal vibration of two-dimensional functionally graded (2D-FG) porous Timoshenko nanobeams", Steel Compos. Struct., 25(4), 415-426. https://doi.org/10.12989/scs.2017.25.4.415.
- Mohamed, N., Eltaher, M.A., Mohamed, S. and Seddek, L.F., (2019), "Energy equivalent model in analysis of postbuckling of imperfect carbon nanotubes resting on nonlinear elastic foundation", Struct. Eng. Mech., 70(6), 737-750. https://doi.org/10.12989/sem.2019.70.6.737.
- Mohammadimehr, M., Monajemi, A.A. and Afshari, H. (2020), "Free and forced vibration analysis of viscoelastic damped FG-CNT reinforced micro composite beams", Microsyst. Technol., 26(10), 3085-3099. https://doi.org/10.1007/s00542-017-3682-4.
- Musuva, M. and Mares, C. (2015), "The wavelet finite element method in the dynamic analysis of a functionally graded beam resting on a viscoelastic foundation subjected to a moving load", Europ. J. Comput. Mech., 24(5), 171-209. https://doi.org/10.1080/17797179.2015.1096229
- Rouabhia, A., Abdelbaki C., Abdelmoumen A.B., Fouad Bourada, H.H., Abdeldjebbar T., Benrahou K.H., Abdelouahed T. and Mesfer Mohammad A.Z. (2020), "Physical stability response of a SLGS resting on viscoelastic medium using nonlocal integral first-order theory." Steel Compos. Struct., 37(6), 695-709. https://doi.org/10.12989/scs.2020.37.6.695.
- Salah, F., Boucham, B., Bourada, F., Benzair, A., Bousahla, A.A. and Tounsi, A. (2019), "Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model", Steel Compos. Struct., 33(6), 805-822. https://doi.org/10.12989/scs.2019.33.6.805.
- Sayyad, A. and Ghumare, S. (2019), "A new quasi-3D model for functionally graded plates", J. Appl. Comput. Mech., 5(2), 367-380. https://doi.org/10.22055/JACM.2018.26739.1353
- Sepehri-Amin, S., Faal, R.T. and Das, R. (2020), "Analytical and numerical solutions for vibration of a functionally graded beam with multiple fractionally damped absorbers", Thin-Walled Struct., 157, 106711. https://doi.org/10.1016/j.tws.2020.106711.
- Shafiei, N., Mirjavadi, S.S., MohaselAfshari, B., Rabby, S. and Kazemi, M. (2017), "Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams", Comput. Methods Appl. Mech. Eng., 322, 615-632. https://doi.org/10.1016/j.cma.2017.05.007.
- She, G.L., Liu, H.B. and Karami, B. (2020), "On resonance behavior of porous FG curved nanobeams", Steel Compos. Struct, 36(2), 179-186. https://doi.org/10.12989/scs.2020.36.2.179.
- Soliman, A.E., Eltaher, M.A., Attia, M.A. and Alshorbagy, A.E. (2018), "Nonlinear transient analysis of FG pipe subjected to internal pressure and unsteady temperature in a natural gas facility", Struct. Eng. Mech., 66(1), 85-96. https://doi.org/10.12989/sem.2018.66.1.085.
- Wattanasakulpong, N. and Ungbhakorn, V. (2014), "Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities", Aerosp. Sci. Technol., 32(1), 111-120. https://doi.org/10.1016/j.ast.2013.12.002.