This paper concerns the dynamics of beams with an arbitrary number of Kelvin–Voigt viscoelastic rotational joints, translational supports, and attached lumped masses. Using the theory of generalized functions to treat the discontinuities of the response variables, the free vibration problem is solved upon deriving exact closed-form eigenfunctions, that inherently fulfill the required conditions at the discontinuity points. The forced vibration response is computed in time and frequency domain by modal superposition, based on appropriate orthogonality conditions of the eigenfunctions.
On the dynamics of viscoelastic discontinuous beams / Failla, Giuseppe. - In: MECHANICS RESEARCH COMMUNICATIONS. - ISSN 0093-6413. - 60:(2014), pp. 52-63. [10.1016/j.mechrescom.2014.06.001]
On the dynamics of viscoelastic discontinuous beams
FAILLA, Giuseppe
2014-01-01
Abstract
This paper concerns the dynamics of beams with an arbitrary number of Kelvin–Voigt viscoelastic rotational joints, translational supports, and attached lumped masses. Using the theory of generalized functions to treat the discontinuities of the response variables, the free vibration problem is solved upon deriving exact closed-form eigenfunctions, that inherently fulfill the required conditions at the discontinuity points. The forced vibration response is computed in time and frequency domain by modal superposition, based on appropriate orthogonality conditions of the eigenfunctions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
