Vibrations of Dynamical Systems

  • Lester W. Schmerr
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 254)


Engineers must often analyze and design systems that vibrate. In many cases the vibrations are of very small amplitude so that the equations governing them are linear. This allows one to use a variety of analytical tools to solve for the motion and forces. This chapter examines vibrating systems with multiple degrees of freedom where matrix methods can be used to great advantage. The vibration of single degree of freedom systems is covered in Appendix D.


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    H. Baruh, Applied Dynamics (CRC press, Boca Raton, 2015)Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Lester W. Schmerr
    • 1
  1. 1.Aerospace EngineeringIowa State UniversityAmesUSA

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