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Part of the book series: History of Mechanism and Machine Science ((HMMS,volume 20))

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Abstract

The kinetic and potential energies in a free vibration problem are expressible as homogeneous quadratic forms in the velocities q̇ i and coordinates q i respectively, leads to important conclusions to be drawn concerning normal coordinates.

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Rao, J.S. (2011). Matrix Methods. In: History of Rotating Machinery Dynamics. History of Mechanism and Machine Science, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1165-5_12

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  • DOI: https://doi.org/10.1007/978-94-007-1165-5_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-1164-8

  • Online ISBN: 978-94-007-1165-5

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