Mode‐superposition methods in dynamic analysis of classically and non‐classically damped linear systems

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.