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MDOF review 061904 - University of Massachusetts Lowell

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 complicat

Modal Analysis & Controls Laboratory 22.515 – Review MDOF Theory Modal Space Response Analysis Since the MDOF system is reduced to equivalent SDOF systems with appropriate force, the response of each SDOF system can be determined using SDOF approaches discussed thus far. The total response due to each of the SDOF

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