Xi'an Technological University
Subject: Computer Science, Software Engineering
eISSN: 2470-8038
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Keywords : harmonic response analysis, frequency shifting technique, model displacement method
Citation Information : International Journal of Advanced Network, Monitoring and Controls. Volume 2, Issue 4, Pages 152-156, DOI: https://doi.org/10.1109/iccnea.2017.64
License : (CC BY-NC-ND 4.0)
Published Online: 10-April-2018
The modal truncation problem of non-classically damped systems is constantly encountered in the dynamic analysis of engineering. The present study is designed to calculate the frequency response functions of the non-classically damping systems accurately on account of the Neumann expansion theory and the frequency shifting technique. Considering the first and the second term influence of the Neumann expansion equations in the frequency response analysis of the viscoelastic systems, we could correct the modal truncation problem of model displacement method. The property given in the study shows that this correcting method can reduce the high-order modes that can’t be calculated to the lower-order modes that are easier to be computed. And the proposed method can also solve the problem causing by the singularity of stiffness matrix. The result of case given in the article shows that it can improve the accuracy of harmonic response effectively compared model displacement.
J.W.S. Rayleigh, The Theory of Sound, Dover Publications, New York, 1945.
E.L. Wilson, M-W. Yuan, J.M. Dickens, Dynamic analysis by direct superposition of Ritz vectors, Earthquake Engineering & Structural Dynamics, 1982.
R.R. Craig Jr., M.C.C. Bampton, Coupling of substructures for dynamic analyses, 1968.
B. Besselink, U. Tabak, A. Lutowska, N. van de Wouw, H. Nijmeijer, D.J. Rixen, M.E. Hochstenbach, W.H.A. Schilders, A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control, 2013.
M. Di Paola, G. Failla, A correction method for dynamic analysis of linear systems, Comput. Struct. 82 (2004) 1217–1226.
G. Borino, G. Muscolino, Mode-superposition methods in dynamic analysis of classically and non-classically damped linear systems, Earthquake Engineering & Structural Dynamics 14 (1986) 705–717.