Vibration Analysis of Two-dof Systems

Part of the Mechanical Engineering Series book series (MES)


The vibration analysis oftwo-dof systems bears many common features with that of n-dof systems, yet it also bears simplifying features that make it amenable to longhand calculations. Moreover, as we show here, two-dof systems can be analyzed completely with graphical methods. We show that the Mohr circle, a rather fundamental tool in engineering analysis, finds extensive applications in understanding the behavior of the kind of systems at hand. Once the analysis oftwo-dof systems has been fully understood, that of n-dof systems comes virtually as a byproduct.


Time Response Stiffness Matrice Modal Vector Flexible Mode Dynamic Matrix 
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  1. 1.
    Kahaner D, Moler C, Nash S (1989) Numerical methods and software. Prentice-Hall, Inc., Englewood Cliffs, NJMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringMcGill UniversityMontrealCanada

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