Search results for "Modal analysis using FEM"

showing 2 items of 2 documents

A correction method for dynamic analysis of linear systems

2004

Abstract This paper proposes an analytical method to improve the accuracy of the dynamic response of classically damped linear systems, as given by a standard truncated modal analysis. Upon computing the first m undamped modes of a n-degree-of-freedom system, two sets of equations in the Rn nodal space are built, which are uncoupled and govern the contribution to the response of the m computed modes and the remaining (n−m) unknown modes, respectively. The first set is solved in the Rm modal space by using the m available modes; the second set is solved in a reduced R(n−m) nodal space, without computing additional modes. Specifically, it is shown that the particular solution of the second se…

Basis (linear algebra)Series (mathematics)Particular solution of linear differential equationMechanical EngineeringModal analysis using FEMModal analysisLinear systemCorrection methodComputer Science ApplicationsMethod of undetermined coefficientsControl theoryModeling and SimulationConvergence (routing)Applied mathematicsGeneral Materials ScienceSeries expansionCivil and Structural EngineeringMathematicsTruncated modal analysis
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Mode-superposition correction method for deterministic and stochastic analysis of structural systems

2001

The role played by the modal analysis in the framework of structural dynamics is fundamental from both deterministic and stochastic point of view. However the accuracy obtained by means of the classical modal analysis is not always satisfactory. Therefore it is clear the importance of methods able to correct the modal response in such a way to obtain the required accuracy. Many methods have been proposed in the last years but they are meaningful only when the forcing function is expressed by an analytical function. Moreover in stochastic analysis they fail for white noise excitation. In the paper a method able to give a very accurate response for both deterministic and stochastic input is p…

Dynamic correction methodModal analysisStructural systemMode-superposition methodMode-superposition methodsSuperposition principleDynamics of structuresGeneral Materials ScienceDynamics of structureDynamics of structures; Mode-superposition methods; Dynamic correction methodsCivil and Structural EngineeringMathematicsStochastic processMechanical EngineeringModal analysis using FEMMode (statistics)Computer Science Applications1707 Computer Vision and Pattern RecognitionModal analysiComputer Science ApplicationsModeling and SimulationStochastic optimizationMaterials Science (all)Settore ICAR/08 - Scienza Delle CostruzioniAlgorithmAnalytic functionDynamic correction methods
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