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      Linear dynamic response of nanobeams accounting for higher gradient effects

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          Abstract

          Linear dynamic response of simply supported nanobeams subjected to a variable axial force is assessed by Galerkin numerical approach. Constitutive behavior is described by three functional forms of elastic energy densities enclosing nonlocal and strain gradient effects and their combination. Linear stationary dynamics of nanobeams is modulated by an axial force which controls the global stiffness of nanostrucure and hence its angular frequencies. Influence of the considered elastic energy densities on dynamical response is investigated and thoroughly commented.

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          Author and article information

          Journal
          Journal of Applied and Computational Mechanics
          Shahid Chamran University of Ahvaz
          01 December 2016
          : 2
          : 2
          : 54-64
          Affiliations
          [1 ] Dipartimento di ingegneria meccanica e aeronautica, “La Sapienza”, Rome, Italy
          [2 ] Dipartimento di strutture per l’ingegneria e l’architettura, Università degli Studi di Napoli “Federico II”, Naples, Italy
          [3 ] Dipartimento di ingegneria civile e meccanica, Università degli Studi di Cassino e del Lazio Meridionale, Cassino (FR), Italy
          [4 ] Dipartimento di ingegneria strutturale e geotecnica, “La Sapienza”, Rome, Italy
          Article
          37f33487f4594f92aa64e8e03d997435
          10.22055/jacm.2016.12330
          45a822e8-f89d-4038-99bb-015837139711

          This work is licensed under a Creative Commons Attribution Non Commercial 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc/4.0/legalcode

          History
          Categories
          Mechanics of engineering. Applied mechanics
          TA349-359

          Chaos, fractals & dynamical systems,Engineering,Nanotechnology,Sensor materials,Mechanical engineering,Renewable energy
          Higher gradient effects,Dynamic response,Nanobeams

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