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Free in-plane vibration of heterogeneous nanoplates using Ritz method
Journal of Theoretical and Applied Vibration and Acoustics
In this paper, the Ritz method has been employed to analyze the free in-plane vibration of heterogeneous (non-uniform) rectangular nanoplates corresponding to Eringen's nonlocal elasticity theory. The non-uniformity is taken into account using combinations of linear and quadratic forms in the thickness, material density and Young's modulus. Two-dimensional boundary characteristic orthogonal polynomials are applied in the Ritz method in order to examine the nonlocal effect, aspect ratio, lengthdoi:10.22064/tava.2016.15342 doaj:0a6f0ee846944c1a8ff4e94133a88646 fatcat:znk7urwerzckjbnvfd3rqlexvi