Structural Engineering and Mechanics

  • 제3권3호
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  • Pages.245-253
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  • 1995
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

A combined finite element-Riccati transfer matrix method for free vibration of structures

  • Xue, Huiyu (Department of Physics, Suzhou University)
  • 발행 : 1995.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

A combination of Riccati transfer matrix method and finite element method is proposed for obtaining vibration frequencies of structures. This method reduces the propagation of round-off errors produced in the standard transfer matrix method and finds out the values of the frequency by Newton-Raphson method. By this technique, the number of nodes required in the regular finite element method is reduced and therefore a microcomputer may be used. Besides, no plotting of the value of the determinant versus assumed frequency is necessary. As the application of this method, some numerical examples are presented to demonstrate the accuracy as well as the capability of the proposed method for the vibration of structures.

키워드

참고문헌

  1. 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
  2. Dokanish, M. A. (1972), "A new approach for plate vibration: combination of transfer matrix and finite element technique", Trans. ASME. J. Engng. Ind., 94, 526-530. https://doi.org/10.1115/1.3428185
  3. Horner, G. C. and Pilkey, W. D. (1975), "The Riccati transfer matrix method", ADAO 19848.
  4. Lancaster, P. (1964), "Convergence of Newton-Raphson method of arbitrary polynomials", Mathematical Gazette, 48, 291-295. https://doi.org/10.2307/3613024
  5. Ohga, M., Shigematsu, T. and Hara, T. (1983), "Structural analysis by a combined finite element-transfer matrix method", Comput. Struct., 17, 321-326. https://doi.org/10.1016/0045-7949(83)90122-0
  6. Ohag, M. and Shigematsu, T. (1987), "Transient analysis of plates by a combined finite element-transfer matrix method", Comput. Struct., 26, 543-549. https://doi.org/10.1016/0045-7949(87)90002-2

피인용 문헌

  1. A combined finite element-Riccati transfer matrix method in frequency domain for transient structural response vol.62, pp.2, 1997, https://doi.org/10.1016/S0045-7949(96)00192-7