Analysis of a gradient-elastic beam on Winkler foundation and applications to nano-structure modelling

An equation of motion governing the response of a first strain gradient beam, including the effect of a Winkler elastic foundation, is derived from the Hamilton–Lagrange principle. The model is based on Mindlin's gradient elasticity theory, while the Euler-Bernoulli assumption for slender beams...

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Veröffentlicht in:	European journal of mechanics, A, Solids A, Solids, 2016-03, Vol.56, p.45-58
Hauptverfasser:	Manias, D.M., Papathanasiou, T.K., Markolefas, S.I., Theotokoglou, E.E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Equations of motion Equivalence Euler-Bernoulli beams Finite element method Foundations Gradient elasticity Mathematical analysis Mathematical models Mindlin plates Winkler foundation
Online-Zugang:	Volltext
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