Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Modified finite element-transfer matrix method for the static analysis of structures

  • Ozturk, D. (Department of Civil Engineering, Engineering Faculty, Ege University) ;
  • Bozdogan, K. (Department of Civil Engineering, Engineering Faculty, Kirklareli University) ;
  • Nuhoglu, A. (Department of Civil Engineering, Engineering Faculty, Ege University)
  • Received : 2011.09.13
  • Accepted : 2012.08.09
  • Published : 2012.09.25
⟨ Previous Next ⟩

Abstract

In this paper the Modified Finite Element-Transfer Matrix Method, which is the combination of Transfer Matrix Method and Finite Element Method, is applied to the static analysis of the structures. In the method, the structure is divided into substructures thus the number of unknowns that need to be worked out is reduced due to the transformation process. The static analysis of the structures can be performed easily and speedily by the proposed method. At the end of the study examples are presented for ensuring the agreement between the proposed method and classic Finite Element Method.

Keywords

References

  1. Abbas, L.K., Ma, L. and Rui, X.T. (2010), "Natural vibrations of open-variable thickness circular cylindrical shells in high temperature field", J. Aerosp. Eng., 23(3), 205-212. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000035
  2. Bhutani, N. and Loewy, R.G. (1999), "Combined finite element-transfer matrix method", J. Sound Vib., 226(5), 1048-1052. https://doi.org/10.1006/jsvi.1999.2332
  3. Bozdogan, K.B. and Ozturk, D. (2009), "Vibration analysis of asymmetric shear wall and thin walled open section structures using transfer matrix method", Struct. Eng. Mech., 33(1), 95-107. https://doi.org/10.12989/sem.2009.33.1.095
  4. Chevillotte, F. and Panneton, R. (2011), "Coupling transfer matrix method to finite element method for analyzing the acoustics of complex hollow body networks", Appl. Acoust., 72, 962-968. https://doi.org/10.1016/j.apacoust.2011.06.005
  5. Degen, E.E., Shephard, M.S. and Loewy, R.G. (1985), "Combined finite element-transfer matrix method based on a finite mixed formulation", Comput. Struct., 20, 173-180. https://doi.org/10.1016/0045-7949(85)90066-5
  6. Dokanish, M.A. (1972), "A new approach for plate vibration: combination of transfer matrix and finite element technique", Trans. ASME J. Eng. Ind., 94, 526-530. https://doi.org/10.1115/1.3428185
  7. Duhamel, D., Mace, B.R. and Brennan, M.J. (2006), "Finite element analysis of the vibrations of waveguides and periodic structures", J. Sound Vib., 294, 205-220. https://doi.org/10.1016/j.jsv.2005.11.014
  8. Ohga, M., Shigematsu, T. and Hara, T. (1984), "A combined finite element-transfer matrix method", Div. Am. Soc. Civ. Eng., 110, 1335-1349. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:9(1335)
  9. Rong, B., Rui, X.T. and Wang, G.P. (2011), "Modified finite element transfer matrix method for eigenvalue problem of flexible structures", J. Appl. Mech., ASCE, 78(2), 021016. https://doi.org/10.1115/1.4002578
  10. Tu, T.H., Yu, J.F., Lien, H.C., Tsai, G.L. and Wang, B.P. (2008), "Free vibration analyses of frames using the transfer dynamic stiffness matrix method", J. Vib. Acoust., ASME, 130(2), 024501-1. https://doi.org/10.1115/1.2827366
  11. Xiang, T., Xu, T., Yuan, X., Zhao, R. and Tong, Y. (2008), "Dynamic analysis of thin-walled open section beam under moving vehicle by transfer matrix method", Struct. Eng. Mech., 30(5).
  12. Xue, H. (1997), "A combined finite element-riccati transfer matrix method in frequency domain for transient structural response", Comput. Struct., 62(2), 215-220. https://doi.org/10.1016/S0045-7949(96)00192-7
  13. Xue, H. (2003), "A combined finite element-stiffness equation transfer method for steady state vibration response analysis of structures", J. Sound Vib., 265, 783-793. https://doi.org/10.1016/S0022-460X(02)01235-X
  14. Xue, H. (2003), "A stiffness equation transfer method for natural frequencies of structures", J. Sound Vib., 268, 881-895. https://doi.org/10.1016/S0022-460X(02)01606-1
  15. Xue, H. (2004), "A stiffness equation transfer method for transient dynamic response analysis of structures", J. Sound Vib., 273, 1063-1078. https://doi.org/10.1016/S0022-460X(03)00533-9

Cited by

  1. Static analysis of the complex multilayered soil field using the modified scaled boundary finite element method 2016, https://doi.org/10.1080/19648189.2016.1233140
  2. Study on the Seismic Response of a Portal Frame Structure Based on the Transfer Matrix Method of Multibody System vol.6, 2014, https://doi.org/10.1155/2014/614208
  3. Free vibration analysis of asymmetric shear wall-frame buildings using modified finite element-transfer matrix method vol.46, pp.1, 2013, https://doi.org/10.12989/sem.2013.46.1.001