Structural Engineering and Mechanics

  • 제8권6호
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  • Pages.579-589
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  • 1999
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Sub-degrees of freedom method with perturbation procedure for reduction of eigenvalue computation

  • Liu, Xiao-Lin (Laboratorio Nacional de Engenharia Civil, Avenida do Brasil)
  • 발행 : 1999.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

A new way to reduce the eigenvalue computation effort in structural dynamics is presented in this paper. The degrees of freedom of a structure may be classified into groups that are termed as sub-degrees of freedom. The eigenvalue analysis is performed with each of sub-degrees of freedom so that the computing time is much shortened. Since the dynamic coupling between sub-degrees of freedom is selected to be small and it may be considered as a perturbation, the perturbation algorithm is used to obtain an accuratae result. The accuracy of perturbation depends on the coupling between sub-degrees of freedom. The weaker the coupling is, the more accurate the result is. The procedure can be used to simplify a problem of three dimensions to that of two dimensions or from two dimensions to one dimension. The application to a truss and a space frame is shown in the paper.

키워드

참고문헌

  1. Bathe, K.J. and Wilson, E.L. (1976), Numerical Methods in Finite Element Analysis, Prentice-Hall, Englewood Cliffs, New Jersey.
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  3. Chen, S.H. and Liu Z.S. (1993), "Substructure analysis of complex structure with weak connectors using matrix perturbation", JSME Intern. Journal Series C: Dynamic Control, Robotics and Manufacture, 36, 307-311. https://doi.org/10.1299/jsmec1993.36.307
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  5. Hurty, W.C. (1965), "Dynamic analysis of structural systems using component modes" , AIAA Journal, 3, 678-685. https://doi.org/10.2514/3.2947
  6. Liu, X.L. (1995), "Reducing eigenvalue analysis by perturbation method for structures with large stiffness", Education, Practice and Promotion of Computational Methods in Engineering Using Small Computer, Proceedings of Fifth EPMESC Conference (E.R. de Arantes e Oliveira and Joao Bento, Ed.), 1, Techno-Press, Korea.
  7. Liu, X. (1997), "A perturbation method for reduction of eigenmalue analysis of structures with large stiffnesses and small masses" , Int . J. Num. Methods. Eng., 40, 2019-2035. https://doi.org/10.1002/(SICI)1097-0207(19970615)40:11<2019::AID-NME155>3.0.CO;2-Z
  8. Liu, X.L. (1998). "The General solution for perturbation with dynamic modes of repeated and close eigenvalues" (submitted).

피인용 문헌

  1. Derivation of formulas for perturbation analysis with modes of close eigenvalues vol.10, pp.5, 2000, https://doi.org/10.12989/sem.2000.10.5.427