oC. Analytical modelling Nonlocal elasticity

uble asti ites. cal uble the are higher with the increasing values of nonlocal parameter for the case of synchronous modes of vibra-ces and effects rbon n curacy promin sults h been generally carried out by using the classical mechanics [10]. Though classical mechanics delivers reasonable solutions, it is inde-pendent of small-scale effects and thus may not be always reliable for analysis of nanostructures. Recently one such promising theory which contains informa-tion about the forces between atoms, and the internal length scale is the nonlocal elasticity theory [11]. Nonlocal elasticity theory has been applied in various structural studies of nanostructures. multi-walled graphene sheets. It is reported that the study of transversal vibration of an elas-tically connected double-plate system is important for both theo-retical and practical reasons [51]. Many important structures can be modelled as composite structures. Similar to macro plates, an important technological extension of the concept of the single-nanoplate-system would be that of the complex-nanoplate-systems. Complex-nanoplate-systems may find applications in nanooptomechanical systems (NOMS). Vibration of double-nano-beam systems in NOMS is reported [52–55]. Vibration analysis of double-nanoplate systems with small aspect ratio is very relevan