Buckling analysis of Levy-type orthotropic stiffened plate and shell based on different strain-displacement models

Ruocco, Eugenio; Mallardo, Vincenzo

doi:10.1016/j.ijnonlinmec.2012.11.007

Cited by 22 publications

(6 citation statements)

References 21 publications

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“…It must be pointed out that both steps, from laser scanner data to CAD format and from CAD format to the structural analysis, required many men-hours to be carried out as classical discretisation strategies were adopted (Minutolo et al, 2009;Ruocco and Mallardo, 2013;Ruocco and Minutolo, 2015).…”

Section: Laser Scanner As First Step Of Structural Analysismentioning

confidence: 99%

Some laser-scanner applications in structural analysis

Alessandri

Mallardo

2019

IJMRI

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In the present work, the authors intend to describe some recent experiences in the application of the laser scanner technique to the structural analysis. Three main examples are provided, the former involves a typical Renaissance Palace in Ferrara, the second one is developed in the framework of the damage analysis carried out for the Nativity Church in Bethlehem, and the latter deals with the non-destructive testing of a common historical masonry building in Ferrara. In such examples the laser scanner data acquisition is mainly aimed at investigating the structural behaviour and not at the geometrical representation. The contribution ends with some comments on the current open issues.

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Section: Laser Scanner As First Step Of Structural Analysismentioning

confidence: 99%

Some laser-scanner applications in structural analysis

Alessandri

Mallardo

2019

IJMRI

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“…Nonlocal beam models based on nonlocal Eringen's theory has been formulated by Reddy [8] and Reddy et al [9][10] and adopted for static [11], wave propagation [12] and thermo mechanical [13] analysis of homogeneous microstructures. The effect of nonlocal constitutive contribute in buckling and vibration behaviour of homogeneous beam has been studied by many authors [14][15][16][17][18][19][20], by using both analytical and numerical solution methodologies as Ritz analytical method, Fourier series, differential quadrature method, finite element method, finite difference method or boundary element method [21][22][23][24]. A microstructured discrete model composed of rigid periodic elements connected by elastic rotational springs, sometimes referred as Hencky's chain Beam Model (HBM, see [25][26][27]), has been successfully adopted for nonlocal computation of eigenfrequencies of beam, and compared with the equivalent continuum [28].…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model

Ruocco

Zhang

Wang

2018

Applied Mathematical Modelling

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We introduce Hencky bar net model for inhomogenous nanobeams for the first time We show the formal analogy between Hencky bar net model and Finite Difference Model We demonstrate the convergence to continuum plate results by increasing the grid size for any proposed example The model deals with both stepped and tapered microbeams Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model

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“…The formulation is based on an updated Mindlin plate theory, which includes nonlocal elasticity, first-order shear deformation, and plate-foundation interaction. This model was then adopted in further works [17,18] to analyze the effect of geometric imperfections on the buckling and vibration of micro-and nanoplates. In higher-order shear deformation theories, the shear deformation effects are taken into account and do not need a shear correction factor.…”

Section: Introductionmentioning

confidence: 99%

Third-order nonlocal elasticity in buckling and vibration of functionally graded nanoplates on Winkler-Pasternak media

Cutolo

Mallardo

Fraldi

et al. 2020

Ann. Solid Struct. Mech.

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The focus of the present work is to present an analytical approach for buckling and free vibrations analysis of thick functionally graded nanoplates embedded in a Winkler-Pasternak medium. The equations of motion are derived according to both the third-order shear deformation theory, proposed by Reddy, and the nonlocal elasticity Eringen's model. For the first time, the equations are solved analytically for plates with two simply supported opposite edges, the solutions also turning helpful as shape functions in the analysis of structures with more complex geometries and boundary conditions. Sensitivity analyses are finally performed to highlight the role of nonlocal parameters, aspect and side-to-thickness ratios, boundary conditions, and functionally graded material properties in the overall response of plates and cylindrical shells. It is felt that the proposed strategy could be usefully adopted as benchmark solutions in numerical routines as well as for predicting some unexpected behaviors, for instance, in terms of buckling load, in thick nanoplates on elastic foundations.

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Buckling analysis of Levy-type orthotropic stiffened plate and shell based on different strain-displacement models

Cited by 22 publications

References 21 publications

Some laser-scanner applications in structural analysis

Some laser-scanner applications in structural analysis

Buckling and vibration analysis of nonlocal axially functionally graded nanobeams based on Hencky-bar chain model

Third-order nonlocal elasticity in buckling and vibration of functionally graded nanoplates on Winkler-Pasternak media

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