6533b86ffe1ef96bd12cdf78
RESEARCH PRODUCT
Mode superposition methods in dynamic analysis of classically and non-classically damped linear systems
Giuseppe MuscolinoGuido Borinosubject
Method of undetermined coefficientsSuperposition principleCorrection methodDifferential equationFrame (networking)Linear systemEarth and Planetary Sciences (miscellaneous)Mode (statistics)Applied mathematicsNumerical testsGeotechnical Engineering and Engineering GeologyAlgorithmMathematicsdescription
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.
year | journal | country | edition | language |
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1986-09-01 |