Structural Engineering and Mechanics

  • 제14권6호
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  • Pages.679-698
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  • 2002
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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Comparative study on dynamic analyses of non-classically damped linear systems

  • Greco, Annalisa (Dipartimento di Ingegneria Civile ed Ambientale, University of Catania) ;
  • Santini, Adolfo (Dipartimento di Meccanica e Materiali, University of Reggio Calabria)
  • 투고 : 2001.11.01
  • 심사 : 2002.07.15
  • 발행 : 2002.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper some techniques for the dynamic analysis of non-classically damped linear systems are reviewed and compared. All these methods are based on a transformation of the governing equations using a basis of complex or real vectors. Complex and real vector bases are presented and compared. The complex vector basis is represented by the eigenvectors of the complex eigenproblem obtained considering the non-classical damping matrix of the system. The real vector basis is a set of Ritz vectors derived either as the undamped normal modes of vibration of the system, or by the load dependent vector algorithm (Lanczos vectors). In this latter case the vector basis includes the static correction concept. The rate of convergence of these bases, with reference to a parametric structural system subjected to a fixed spatial distribution of forces, is evaluated. To this aim two error norms are considered, the first based on the spatial distribution of the load and the second on the shear force at the base due to impulsive loading. It is shown that both error norms point out that the rate of convergence is strongly influenced by the spatial distribution of the applied forces.

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피인용 문헌

  1. COMPLEX MODE SUPERPOSITION ALGORITHM FOR SEISMIC RESPONSES OF NON-CLASSICALLY DAMPED LINEAR MDOF SYSTEM vol.8, pp.4, 2004, https://doi.org/10.1080/13632460409350503
  2. Completeness Verification of Complex Response Spectrum Method for Underdamped and Overdamped Multiple-Support Systems Regarding the Decoupled Damping as Mathematical Parameter without Physical Meaning vol.20, pp.7, 2016, https://doi.org/10.1080/13632469.2016.1138165
  3. An Efficient Approach for Seismic Analysis of Multi-Support Structures Equipped with Coupled Dampers using Spectral Moments Instead of Cross-Correlation Coefficients vol.21, pp.5, 2017, https://doi.org/10.1080/13632469.2016.1185053
  4. On eigenproblem solution of damped vibrations associated with gyroscopic moments vol.320, pp.3, 2009, https://doi.org/10.1016/j.jsv.2008.08.018