Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

Peng, Lixin; Kitipornchai, S.; Liew, K.M.

doi:10.1016/j.ijmecsci.2004.12.006

Cited by 45 publications

(18 citation statements)

References 23 publications

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“…To analyse the entire folded plate, we treat the individual stiffened and un-stiffened flat plates together as superelements, and superpose their stiffness matrices. However, as reported in Reference [24], one difficulty remains. Due to a lack of Kronecker delta properties in the meshfree shape functions, the direct superposition of the stiffness matrices does not give satisfying analytical results.…”

Section: Geometric Non-linear Analysis Of Folded Platesmentioning

confidence: 92%

“…The subscript I on the right-hand side of Equations (23) and (24) refers to an imaginary reference line that runs parallel to the x-axis through the I th kernel particle, whereas on the left-hand side it refers to the locations of spline nodes on this line.…”

Section: Displacements Approximationmentioning

confidence: 99%

“…Similar to the process in Reference [24], the equation that transforms the nodal parameters u 0s I , w sx I , and sx I of the x-stiffener into the generalized displacements of the plate d can be derived as (28) where…”

Section: Transformation Equationsmentioning

confidence: 99%

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Geometric non‐linear analysis of folded plate structures by the spline strip kernel particle method

Liew

Peng

Kitipornchai

2007

Numerical Meth Engineering

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SUMMARYThis paper investigates the geometric non-linear behaviour of stiffened and un-stiffened folded plate structures using the spline strip kernel particle method (SSKPM). The first-order shear deformable plate theory and large deflection theory of von Karman are employed. The folded plate structures are considered as assemblies of individual stiffened and un-stiffened flat plates that lie on different planes. We regard these stiffened and un-stiffened plate structures as superelements, and superpose their stiffness matrices to derive the final global stiffness matrices. Several numerical example problems are examined, and comparison studies are carried out with other available results. The effect of the size of the support, the order of the polynomial basis functions, and the spacing of the spline nodes on the convergence of the proposed method is examined.

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Section: Geometric Non-linear Analysis Of Folded Platesmentioning

confidence: 92%

Section: Displacements Approximationmentioning

confidence: 99%

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Geometric non‐linear analysis of folded plate structures by the spline strip kernel particle method

Liew

Peng

Kitipornchai

2007

Numerical Meth Engineering

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“…Some indications can be found in specialized literature on the best possible way to choose the location and shape parameters of the activation functions. As an example, Peng et al [8] observe that a larger support size and higher order of RB functions will yield better convergence results. This fact can be partially explained in the light of the stationarity of the total energy of the continuum, as explained in the following paragraph.…”

Section: Meshless Approach For Static Problemmentioning

confidence: 99%

“…Finding the vector field which minimizes (10) and satisfies the EBC (7) and the straindisplacement conditions (8) yields the solution of the elastostatic problem.…”

Section: Meshless Approach For Static Problemmentioning

confidence: 99%

A Meshless Neural Network Approach for the Dynamic Analysis of Elastic Systems

Facchini¹,

Betti²

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Mesh‐free models for static analysis of smart laminated composite beams

Ray

2016

Numerical Meth Engineering

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Summary This paper is concerned with the development of mesh‐free models for the static analysis of smart laminated composite beams. The overall smart composite beam is composed of a laminated substrate composite beam and a piezoelectric layer attached partially or fully at the top surface of the substrate beam. The piezoelectric layer acts as the distributed actuator layer of the smart beam. A layer‐wise displacement theory and an equivalent single‐layer theory have been used to derive the models. Several cross‐ply substrate beams are considered for presenting the numerical results. The responses of the smart composite beams computed by the present new mesh‐free model based on the layer‐wise displacement theory excellently match with those obtained by the exact solutions. The mesh‐free model based on the equivalent single‐layer theory cannot accurately compute the responses due to transverse actuation by the piezoelectric actuator. The models derived here suggest that the mesh‐free method can be efficiently used for the numerical analysis of smart structures. Copyright © 2016 John Wiley & Sons, Ltd.

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Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

Cited by 45 publications

References 23 publications

Geometric non‐linear analysis of folded plate structures by the spline strip kernel particle method

Geometric non‐linear analysis of folded plate structures by the spline strip kernel particle method

A Meshless Neural Network Approach for the Dynamic Analysis of Elastic Systems

Mesh‐free models for static analysis of smart laminated composite beams

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