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Mode‐superposition methods in dynamic analysis of classically and non‐classically damped linear systems
Author(s) -
Borino G.,
Muscolino G.
Publication year - 1986
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290140503
Subject(s) - superposition principle , mode (computer interface) , displacement (psychology) , frame (networking) , response analysis , acceleration , control theory (sociology) , mathematical analysis , mathematics , computer science , physics , structural engineering , engineering , classical mechanics , psychology , telecommunications , control (management) , artificial intelligence , psychotherapist , operating system
Mode‐superposition analysis is an efficient tool for the evaluation of the response of linear systems subjected to dynamic agencies. Two well‐known mode‐superposition methods are available in the literature, the mode‐displacement method and the mode‐acceleration method. Within this frame a method is proposed called a dynamic correction method which evaluates the structural response as the sum of a pseudostatic response, which is the particular solution of the differential equations, and a dynamic correction evaluated using a reduced number of natural modes. The greater accuracy of the proposed method with respect to the other methods is evidenced through extensive numerical tests, for classically and non‐classically damped systems.