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A new Bernoulli Euler beam model based on a simplified strain gradient elasticity theory is established in the current investigation.
In this paper, a non-classical beam model based on the Eringen's nonlocal elasticity theory is proposed for nonlinear vibration of nanobeams with axially immovable ends.
The DWCNTs is simulated with a Timoshenko beam model based on the nonlocal continuum elasticity theory, referred to as an analytically nonlocal Timoshenko-beam (ANT) model.
To this purpose, we follow the strategy recently proposed by our group and apply the Jourawski method to the structural beam model based on the zigzag warping.
This study developed a new composite laminated size-dependent beam model based on a re-modified couple stress theory and a refined zigzag theory.
Rather than a history integral model that is common for viscoelastic materials, a thermodynamically based state evolution model developed by Ghosh and Srinivasa (2011a) is used as the basis for the beam model based on the Euler Bernoulli beam theory.
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It is shown that Serendipity Lagrange elements solve some of the shortcomings of the most commonly used Unified Formulation beam models based on Taylor and Lagrange expansion functions.
It is observed that the critical buckling loads and natural frequencies predicted by the beam models based on MSGT and CT are the maximum and minimum values, respectively.
To this aim, a moving mesh strategy is proposed for the first time in the context of beam modeling based on a multilayered configuration.
The model accommodates the beam models based on the strain gradient theory (SGT), the modified strain gradient theory (MSGT), the modified couple stress theory (MCST) and the classical theory (CT) as special cases.
When using the bedded-beam model based on Winkler springs for cavity lining design, it is always difficult for engineers to select an appropriate value for the radial subgrade modulus (k) due to the lack of related theoretical research.
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