The vibration problem of a Timoshenko non-local beam is addressed. The beam model involves assuming that the equilibrium of each volume element is attained due to contact forces and long-range body forces exerted, respectively, by adjacent and non-adjacent volume elements. The contact forces result in the classical Cauchy stress tensor while the long-range forces are taken as depending on the product of the interacting volume elements and on their relative displacement through a material-dependent distance-decaying function. To derive the motion equations and the related mechanical boundary conditions, the Hamilton's principle is applied

The vibration problem of a Timoshenko non-local beam is addressed. The beam model involves assuming that the equilibrium of each volume element is attained due to contact forces and long-range body forces exerted, respectively, by adjacent and non-adjacent volume elements. The contact forces result in the classical Cauchy stress tensor while the long-range forces are taken as depending on the product of the interacting volume elements and on their relative displacement through a material-dependent distance-decaying function. To derive the motion equations and the related mechanical boundary conditions, the Hamilton's principle is applied

Di Paola, M., Failla, G., Sofi, A., Zingales, M. (2012). On the vibrations of a mechanically based non-local beam model. COMPUTATIONAL MATERIALS SCIENCE, 64, 278-282 [10.1016/j.commatsci.2012.03.031].

On the vibrations of a mechanically based non-local beam model

DI PAOLA, Mario;ZINGALES, Massimiliano
2012-01-01

Abstract

The vibration problem of a Timoshenko non-local beam is addressed. The beam model involves assuming that the equilibrium of each volume element is attained due to contact forces and long-range body forces exerted, respectively, by adjacent and non-adjacent volume elements. The contact forces result in the classical Cauchy stress tensor while the long-range forces are taken as depending on the product of the interacting volume elements and on their relative displacement through a material-dependent distance-decaying function. To derive the motion equations and the related mechanical boundary conditions, the Hamilton's principle is applied
2012
Settore ICAR/08 - Scienza Delle Costruzioni
Di Paola, M., Failla, G., Sofi, A., Zingales, M. (2012). On the vibrations of a mechanically based non-local beam model. COMPUTATIONAL MATERIALS SCIENCE, 64, 278-282 [10.1016/j.commatsci.2012.03.031].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/74408
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