A sixth-order compact finite difference method for vibrational analysis of nanobeams embedded in an elastic medium based on nonlocal beam theory

In the present paper, the free vibration characteristics of nanobeams embedded in an elastic medium are investigated. Inclusion of size effects is considered in the analysis by incorporating Eringen’s nonlocal elasticity continuum into the classical Euler–Bernoulli beam theory. To include the surrou...

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Bibliographic Details
Published in:	Mathematical and computer modelling Vol. 54; no. 11; pp. 2577 - 2586
Main Authors:	Ansari, R., Gholami, R., Hosseini, K., Sahmani, S.
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier Ltd 01.12.2011 Elsevier
Subjects:	Compact finite difference method elastic deformation Elastic foundation Exact sciences and technology Free vibration Mathematical analysis Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Nanobeams Nonlocal elasticity continuum Numerical analysis. Scientific computation prediction Sciences and techniques of general use vibration Elastic foundation Nonlocal elasticity continuum Free vibration Nanobeams Compact finite difference method Applied mathematics Boundary condition Mathematical model Discretization method Computer aided analysis Finite difference method
ISSN:	0895-7177, 1872-9479
Online Access:	Get full text
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