6533b86ffe1ef96bd12cdf78

RESEARCH PRODUCT

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

Giuseppe MuscolinoGuido Borino

subject

Method of undetermined coefficientsSuperposition principleCorrection methodDifferential equationFrame (networking)Linear systemEarth and Planetary Sciences (miscellaneous)Mode (statistics)Applied mathematicsNumerical testsGeotechnical Engineering and Engineering GeologyAlgorithmMathematics

description

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.

10.1002/eqe.4290140503http://hdl.handle.net/11570/1722292