6533b824fe1ef96bd12809e8

RESEARCH PRODUCT

Analytical Solutions of Viscoelastic Nonlocal Timoshenko Beams

Raffaele BarrettaFrancesco Paolo PinnolaAntonina PirrottaFrancesco Marotti De Sciarra

subject

Small-scale beamGeneral Mathematicsfractional calculusFractional calculuMEMS/NEMS; fractional calculus; stress-driven nonlocality; small-scale beams; size effectsstress-driven nonlocalitysize effectsMEMS/NEMSQA1-939Computer Science (miscellaneous)Size effectSettore ICAR/08 - Scienza Delle Costruzionismall-scale beamsEngineering (miscellaneous)Mathematics

description

A consistent nonlocal viscoelastic beam model is proposed in this paper. Specifically, a Timoshenko bending problem, where size- and time-dependent effects cannot be neglected, is investigated. In order to inspect scale phenomena, a stress-driven nonlocal formulation is used, whereas to simulate time-dependent effects, fractional linear viscoelasticity is considered. These two approaches are adopted to develop a new Timoshenko bending model. Analytical solutions and application samples of the proposed formulation are presented. Moreover, in order to show influences of viscoelastic and size effects on mechanical response, parametric analyses are provided. The contributed results can be useful for the design and optimization of small-scale devices exhibiting flexural behaviour.

yearjournalcountryeditionlanguage
2022-02-01Mathematics
https://doi.org/10.3390/math10030477