6533b850fe1ef96bd12a83e3
RESEARCH PRODUCT
On the vibrations of a mechanically based non-local beam model
Alba SofiMassimiliano ZingalesGiuseppe FaillaMario Di Paolasubject
Timoshenko beam theoryBody forceNon-local elasticityGeneral Computer ScienceGeneral Physics and AstronomyContact forceLong-range interactionsymbols.namesakeFree vibrations; Hamilton's principle; Long-range interactions; Non-local elasticity; Timoshenko beam theoryGeneral Materials ScienceHamilton's principleVolume elementPhysicsCauchy stress tensorEquations of motionFree vibrationGeneral ChemistryMechanicsComputational MathematicsTimoshenko beam theoryClassical mechanicsHamilton's principleMechanics of MaterialssymbolsSettore ICAR/08 - Scienza Delle CostruzioniBeam (structure)description
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
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-11-01 | Computational Materials Science |