Transcription of MDOF review 061904 - uml.edu
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MDOF review 061904 - uml.edu
1Dr. Peter AvitabileModal analysis & Controls review MDOF TheoryReview MDOF TheoryPeter AvitabileMechanical Engineering DepartmentUniversity of Massachusetts Lowell [ K ]n[ M ]n[ M ]a[ K ]a[ E ]a[ ]2 Structural Dynamic Modeling Techniques & Modal analysis Methodsmk11c1mp33c3mk22c2f3k3p2f2f1p1 MODE 1 MODE 2 MODE 32Dr. Peter AvitabileModal analysis & Controls review MDOF TheoryMultiple Degree of Freedom Systems Referred to as a Multiple Degree of Freedom An NDOF system has N independent degrees of freedom to describe the system There is one natural frequency for every DOF in the system descriptionSystems with more than one DOF:3Dr. Peter AvitabileModal analysis & Controls review MDOF TheoryMultiple Degree of Freedom Systems Each natural frequency has a displacement configuration referred to as a normal mode Mathematical quantities referred to as eigenvalues and eigenvectors are used to describe the system characteristics While the resulting motion appears more complicated, the system set of equations can always be decomposed into a set of equivalent SDOF systems for eac
Modal Analysis & Controls Laboratory 22.515 – Review MDOF Theory MDOF Equations of Motion This coupled set of equations can be uncoupled by performing an eigensolution to obtain ‘eigenpairs’ for each mode of the system, that is ‘eigenvalues’ and ‘eigenvectors’ or ‘frequencies’ (poles) and ‘mode shapes’
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