An original method for evaluating the dissipative effect in SDOF systems due to the transient phenomenon was presented in a previous article. This method based on the use of an additional dimension, and the general relativity concept was validated experimentally. However, the function of the forcing frequency required to establish the metric of the space was identified using an experimental transfer function. In the present paper the main objective is to solve the geodesic equations in order to avoid the experimental identification of the function contained in the metric. The variational problem of the metric of Riemannian space gives three geodesic equations for the SDOF system studied. Solving these equations gives in particular the transient forced response which, when compared with experimental results, permits validating the proposed method and therefore proving that the transient motion bends the space-time.
Damping in High Transient Motion
Contributed by the Technical Committee on Vibration and Sound for publication in the Journal of Vibration and Acoustics. Manuscript received May 2001; Revised Nov. 2002. Associate Editor: R. Ohayon.
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Al Majid , A., and Dufour, R. (April 1, 2003). "Damping in High Transient Motion ." ASME. J. Vib. Acoust. April 2003; 125(2): 223–227. https://doi.org/10.1115/1.1547702
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