Structural Engineering and Mechanics

  • 제7권1호
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  • Pages.81-94
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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

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Dynamic analysis of trusses including the effect of local modes

  • Levy, Eldad (Faculty of Agricultural Engineering, Technion, Israel Institute of Technology) ;
  • Eisenberger, Moshe (Faculty of Civil Engineering, Technion, Israel Institute of Technology)
  • 발행 : 1999.01.25
⟨ 이전 논문 다음 논문 ⟩

초록

The dynamic analysis of trusses using the finite element method tends to overlook the effect of local member dynamic behavior on the overall response of the complete structure. This is due to the fact that the lateral inertias of the members are omitted from the global inertia terms in the structure mass matrix. In this paper a condensed dynamic stiffness matrix is formulated and used to calculate the exact dynamic properties of trusses without the need to increase the model size. In the examples the limitations of current solutions are presented together with the exact results obtained from the proposed method.

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참고문헌

  1. Eisenberger M. and Levy E. (1997), "Lateral and axial vibrational local modes in large scale structure" , International Forum on Aeroelasticity and Structural Dynamics 1997, Rome, June 1997.
  2. Fricker, A.J. (1983), "A new approach to the dynamic analysis of structures using fixed frequency dynamic stiffness matrices", Int. J. for Numerical Methods in Engineering. 19, 1111-1129. https://doi.org/10.1002/nme.1620190802
  3. Leung, A.Y.T. (1993), "Dynamic stiffness and substructures" , Springer-Verlag.
  4. Levy, E. and Eisenberger, M. (1996), "Dynamic stiffness analysis of lattice structure", Building an International Community of Structural Engineering - Proceedings of Structures Congress XIV, Chicago, ASCE, 526-533.
  5. Levy, E. (1997), "Exact calculation for dynamic and buckling loads of a space truss with a large number of degrees of freedom (towards designing the "Energy Tower")", Ph.D. Thesis, Technion Israel Institute of Technology, Haifa, Israel.
  6. Paz, M. and Dung, L. (1975), "Power series expansion of the general stiffness matrix for beam elements", Int. Journal for Numerical Methods in Engineering, 9, 449-459. https://doi.org/10.1002/nme.1620090212
  7. Weaver, W. Jr. and Loh, L. (1985), "Dynamic of trusses by component mode method", Journal of Structural Engineering, 111(12), 2565-2575. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:12(2565)
  8. Wittrick, W.H. and Williams, F.W. (1971), "A general algorithm for computing natural frequencies of elastic structures", Journal of Mechanics and Applied Math., 24, 263-284. https://doi.org/10.1093/qjmam/24.3.263

피인용 문헌

  1. Structural dynamic analysis for time response of bars and trusses using the generalized finite element method vol.9, pp.3, 2012, https://doi.org/10.1590/S1679-78252012000300001