Analytical Solutions of Viscoelastic Nonlocal Timoshenko Beams

Francesco Paolo Pinnola, Raffaele Barretta, Francesco Marotti de Sciarra and Antonina Pirrotta
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Francesco Paolo Pinnola: Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, Ed. 6, 80125 Naples, Italy
Raffaele Barretta: Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, Ed. 6, 80125 Naples, Italy
Francesco Marotti de Sciarra: Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, Ed. 6, 80125 Naples, Italy
Antonina Pirrotta: Department of Engineering, University of Palermo, Via E. Basile, 90128 Palermo, Italy

Mathematics, 2022, vol. 10, issue 3, 1-14

Abstract: 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.

Keywords: MEMS/NEMS; fractional calculus; stress-driven nonlocality; small-scale beams; size effects (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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