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Nanoscience and Technology: An International Journal
ESCI SJR: 1.031 SNIP: 1.517 CiteScore™: 0.7

ISSN Imprimir: 2572-4258
ISSN En Línea: 2572-4266

Nanoscience and Technology: An International Journal

Formerly Known as Nanomechanics Science and Technology: An International Journal

DOI: 10.1615/NanomechanicsSciTechnolIntJ.v6.i2.50
pages 161-178

FREQUENCY SHIFTS INDUCED BY LARGE DEFORMATIONS IN PLANAR PANTOGRAPHIC CONTINUA

Antonio Battista
International Research Center on Mathematics and Mechanics of Complex Systems (MEMOCS), University of L'Aquila, Italy
Christian Cardillo
International Research Center on Mathematics and Mechanics of Complex Systems (MEMOCS), University of L'Aquila, Italy
Dionisio Del Vescovo
International Research Center on Mathematics and Mechanics of Complex Systems (MEMOCS), University of L'Aquila, Italy; Department of Mechanical and Aerospace Engineering (DIMA), University La Sapienza, Rome, Italy
Nicola Luigi Rizzi
Università degli Studi Roma Tre, Via della Madonna dei Monti, 40 00184 Roma, Italy
Emilio Turco
International Research Center on Mathematics and Mechanics of Complex Systems (MEMOCS), University of L'Aquila, Italy; Dipartimento di Architettura, Design e Urbanistica, Universita degli Studi di Sassari, Italy

SINOPSIS

The present article deals with the dynamic behavior of 2D continua representing the homogenized limit of microstructured pantographic systems, i.e., the structures in which two orders of fibers are interconnected by means of pivots. The strain energy density of the continuum model depends on the first and second gradient of the displacement. Numerical simulations on modal analysis are performed and the results are compared with the behavior of an orthotropic lamina of equal mass density. The results show the characteristic features of the dynamic behavior of higher gradient models, and in particular the difference, with respect to classical laminae, in the dependence of the eigenfrequencies on the stiffness.


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