A new method for analyzing the free vibration of combined linear undamped dynamical systems attached at discrete points is shown. The method uses separation of variables to exhibit the harmonic motion of the system and to derive a generalized differential equation for the normal modes. Green's functions for the vibrating component systems are used to solve the generalized differential equation and derive the characteristic equation for the natural frequencies of the system.
|Original language||English (US)|
|Journal||T.&A.M. Report (University of Illinois at Urbana - Champaign, Department of Theoretical and Applie|
|State||Published - Apr 1984|
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