Advances in Computational Design

  • 제3권1호
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  • Pages.1-16
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  • 2018
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  • 2383-8477(pISSN)
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  • 2466-0523(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Decaying temperature and dynamic response of a thermoelastic nanobeam to a moving load

  • Zenkour, Ashraf M. (Department of Mathematics, Faculty of Science, King Abdulaziz University) ;
  • Abouelregal, Ahmed E. (Department of Mathematics, Faculty of Science, Mansoura University)
  • 투고 : 2017.06.05
  • 심사 : 2018.01.20
  • 발행 : 2018.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

The decaying temperature and dynamic response of a thermoelastic nanobeam subjected to a moving load has been investigated in the context of generalized theory of nonlocal thermoelasticity. The transformed distributions of deflection, temperature, axial displacement and bending moment are obtained by using Laplace transformation. By applying a numerical inversion method, the results of these fields are then inverted and obtained in the physical domain. Also, for a particular two models, numerical results are discussed and presented graphically. Some specific and special results are derived from the current study.

키워드

참고문헌

  1. Abouelregal, A.E. and Zenkour, A.M. (2015), "Thermoelastic problem of an axially moving microbeam subjected to an external transverse excitation", J. Theor. Appl. Mech., 53(1), 167-178.
  2. Abouelregal, A.E. and Zenkour, A.M. (2017), "Dynamic response of a nanobeam induced by ramp-type heating and subjected to a moving load", Microsyst. Technol., 23(12), 5911-5920. https://doi.org/10.1007/s00542-017-3365-1
  3. Carrera, E., Abouelregal, A.E., Abbas, I.A. and Zenkour, A.M. (2015), "Vibrational analysis for an axially moving microbeam with two temperatures", J. Therm. Stresses, 38(6), 569-590. https://doi.org/10.1080/01495739.2015.1015837
  4. Chang, T.P. and Liu, Y.N. (1996), "Dynamic finite element analysis of a nonlinear beam subjected to a moving load", Int. J. Solids Struct., 33, 1673-1688. https://doi.org/10.1016/0020-7683(95)00128-X
  5. Cheng, X.S. (1987), "Dynamic response of plates on elastic foundations due to the moving loads", Appl. Math. Mech., 8(4), 355-365. https://doi.org/10.1007/BF02015256
  6. Eringen, A.C. (1972), "Nonlocal polar elastic continua", Int. J. Eng. Sci., 10, 1-16. https://doi.org/10.1016/0020-7225(72)90070-5
  7. Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 54, 4703-4710. https://doi.org/10.1063/1.332803
  8. Eringen, A.C. and Edelen, D.G.B. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10, 233-248. https://doi.org/10.1016/0020-7225(72)90039-0
  9. Green, A.E. and Lindsay, K.A. (1972), "Thermoelasticity", J. Elast., 2, 1-7. https://doi.org/10.1007/BF00045689
  10. Hasheminejad, S.M. and Rafsanjani, A. (2011), "Two-dimensional elasticity solution for transient response of simply supported beams under moving loads", Acta Mech., 217, 205-218. https://doi.org/10.1007/s00707-010-0393-7
  11. Hosseini, S.A.H. and Rahmani, O. (2017), "Exact solution for axial and transverse dynamic response of functionally graded nanobeam under moving constant load based on nonlocal elasticity theory", Mecc., 52, 1441-1457. https://doi.org/10.1007/s11012-016-0491-2
  12. Jaiswal, O.R. and Iyengar, R.N. (1993), "Dynamic response of a beam on elastic foundation of finite depth under a moving force", Acta Mech., 96, 67-83. https://doi.org/10.1007/BF01340701
  13. Kiani, K. (2011), "Small-scale effect on the vibration of thin nanoplates subjected to a moving nanoparticle via nonlocal continuum theory", J. Sound Vib., 330(20), 4896-4914. https://doi.org/10.1016/j.jsv.2011.03.033
  14. Lee, H.P. and Ng, T.Y. (1994), "Dynamic response of a cracked beam subject to a moving load", Acta Mech., 106, 221-230. https://doi.org/10.1007/BF01213564
  15. Lin, Y.H. and Trethewey, M.W. (1990), "Finite element analysis of elastic beams subjected to moving dynamic loads", J. Sound Vib., 136(2), 323-342. https://doi.org/10.1016/0022-460X(90)90860-3
  16. Lord, H.W. and Shulman, Y. (1967), "A generalized dynamical theory of thermoelasticity", J. Mech. Phys. Solid, 15, 299-309. https://doi.org/10.1016/0022-5096(67)90024-5
  17. Lu, S. and Xuejun, D. (1998), "Dynamic analysis to infinite beam under a moving line load with uniform velocity", Appl. Math. Mech., 19(4), 367-373. https://doi.org/10.1007/BF02457541
  18. Olsson, M. (1991), "On the fundamental moving load problem", J. Sound Vib., 145(2), 299-307. https://doi.org/10.1016/0022-460X(91)90593-9
  19. Pirmohammadi, A.A., Pourseifi, M., Rahmani, O. and Hoseini, S.A.H. (2014), "Modeling and active vibration suppression of a single-walled carbon nanotube subjected to a moving harmonic load based on a nonlocal elasticity theory", Appl. Phys. A, 117(3), 1547-1555. https://doi.org/10.1007/s00339-014-8592-z
  20. Rajabi, K., Kargarnovin, M.H. and Gharini, M. (2013), "Dynamic analysis of a functionally graded simply supported Euler-Bernoulli beam subjected to a moving oscillator", Acta Mech., 224, 425-446. https://doi.org/10.1007/s00707-012-0769-y
  21. Simsek, M. (2010), "Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory", Int. J. Eng. Sci., 48, 1721-1732. https://doi.org/10.1016/j.ijengsci.2010.09.027
  22. Simsek, M., Aydin, M., Yurtcu, H.H. and Reddy, J.N. (2015), "Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory", Acta Mech., 226, 3807-3822. https://doi.org/10.1007/s00707-015-1437-9
  23. Tang, S.C. (1967), "Dynamic response of elastic plates on viscoelastic foundations to moving loads", Ing. Archiv, 36(3), 155-163. https://doi.org/10.1007/BF00532153
  24. Tzou, D.Y. (1995), "Experimental support for the Lagging behavior in heat propagation", J. Thermophys. Heat Trans., 9, 686-693. https://doi.org/10.2514/3.725
  25. Tzou, D.Y. (1996), Macro- to Microscale Heat Transfer: the Lagging Behavior, Taylor & Francis, Washington, DC.
  26. Yang, Y., Ding, H. and Chen, L-Q. (2013), "Dynamic response to a moving load of a Timoshenko beam resting on a nonlinear viscoelastic foundation", Acta Mech. Sin., 29(5), 718-727. https://doi.org/10.1007/s10409-013-0069-3
  27. Zenkour, A.M. (2015), "Three-dimensional thermal shock plate problem within the framework of different thermoelasticity theories", Compos. Struct., 132, 1029-1042. https://doi.org/10.1016/j.compstruct.2015.07.013
  28. Zenkour, A.M., Abouelregal, A.E. and Abbas, I.A. (2014), "Generalized thermoelastic vibration of an axially moving clamped microbeam subjected to ramp-type thermal loading", J. Therm. Stresses, 37(11), 1302-1323. https://doi.org/10.1080/01495739.2014.937209