Small-scale effect on the vibration of nonuniform nanocantilever based on nonlocal elasticity theory

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Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes (2013, background): “…of beam-like elements in micro- or nanoelectromechanical devices (Peddieson et al. 2003, Lu et al. 2006, Wang and Varadan 2006, Reddy and Pang 2008, Murmu and Pradhan 2009a, 2009b, 2009c, Şimşek 2010, 2011, Heireche et al. 2008a, 2008b, 2008c, Tounsi et al. 2008, Tounsi et al. 2009a, 2009b).”
Natural frequency analysis of functionally graded rectangular nanoplates with different boundary conditions via an analytical method (2015, background): “There are many studies for the vibration of carbon nanotubes or similar micro or nano beam like elements [21-23].”
Bending analysis of microtubules using nonlocal Euler–Bernoulli beam theory (2011, background): “It is also accepted that some mechanical properties such as vibration, bending and buckling of beam like micro structures based on nonlocal elasticity theory are entirely different from their counterparts based on the classical (macro) beam theory [22–36].”