Linear dynamic response of nanobeams accounting for higher gradient effects

Document Type : Research Paper


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


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.


Main Subjects

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