A DXDR large deflection analysis of uniformly loaded square, circular and elliptical orthotropic plates using non-uniform rectangular finite-differences

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https://doi.org/10.1007/s12206-012-0823-7
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Keywords

Orthotropic circular and elliptical plates Non-uniform rectangular mesh Large deflection Dynamic relaxation , Non-uniform rectangular mesh , Large deflection , Dynamic relaxation

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A DXDR large deflection analysis of uniformly loaded square, circular and elliptical orthotropic plates using non-uniform rectangular finite-differences. / Kadkhodayan, Mehran; Alamatian, J.; Turvey, Geoffrey et al.
In: Journal of Mechanical Science and Technology, Vol. 26, No. 10, 10.2012, p. 3231-3242.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Bibtex

@article{9106b3f7b48c4ae1afa64b22b66fd675,

title = "A DXDR large deflection analysis of uniformly loaded square, circular and elliptical orthotropic plates using non-uniform rectangular finite-differences",

abstract = "A finite-difference analysis of the large deflection response of uniformly loaded square, circular and elliptical clamped and simply-supported orthotropic plates is presented. Several types of non-uniform (graded) mesh are investigated and a mesh suited to the curved boundary of the orthotropic circular and elliptical plate is identified. The DXDR method-a variant of the DR (dynamic relaxation) method-is used to solve the finite-difference forms of the governing orthotropic plate equations. The DXDR method and irregular rectilinear mesh are combined along with the Cartesian coordinates to treat all types of boundaries and to analyze the large deformation of non-isotropic circular/elliptical plates. The results obtained from plate analyses demonstrate the potential of the non-uniform meshes employed and it is shown that they are in good agreement with other results for square, circular and elliptical isotropic and orthotropic clamped and simply-supported plates in both fixed and movable cases subjected to transverse pressure loading.",

keywords = "Orthotropic circular and elliptical plates Non-uniform rectangular mesh Large deflection Dynamic relaxation , Non-uniform rectangular mesh , Large deflection , Dynamic relaxation",

author = "Mehran Kadkhodayan and J. Alamatian and Geoffrey Turvey and {Erfani Moghadam}, A.",

year = "2012",

month = oct,

doi = "10.1007/s12206-012-0823-7",

language = "English",

volume = "26",

pages = "3231--3242",

journal = "Journal of Mechanical Science and Technology",

issn = "1738-494X",

publisher = "Korean Society of Mechanical Engineers",

number = "10",

}

RIS

TY - JOUR

T1 - A DXDR large deflection analysis of uniformly loaded square, circular and elliptical orthotropic plates using non-uniform rectangular finite-differences

AU - Kadkhodayan, Mehran

AU - Alamatian, J.

AU - Turvey, Geoffrey

AU - Erfani Moghadam, A.

PY - 2012/10

Y1 - 2012/10

N2 - A finite-difference analysis of the large deflection response of uniformly loaded square, circular and elliptical clamped and simply-supported orthotropic plates is presented. Several types of non-uniform (graded) mesh are investigated and a mesh suited to the curved boundary of the orthotropic circular and elliptical plate is identified. The DXDR method-a variant of the DR (dynamic relaxation) method-is used to solve the finite-difference forms of the governing orthotropic plate equations. The DXDR method and irregular rectilinear mesh are combined along with the Cartesian coordinates to treat all types of boundaries and to analyze the large deformation of non-isotropic circular/elliptical plates. The results obtained from plate analyses demonstrate the potential of the non-uniform meshes employed and it is shown that they are in good agreement with other results for square, circular and elliptical isotropic and orthotropic clamped and simply-supported plates in both fixed and movable cases subjected to transverse pressure loading.

AB - A finite-difference analysis of the large deflection response of uniformly loaded square, circular and elliptical clamped and simply-supported orthotropic plates is presented. Several types of non-uniform (graded) mesh are investigated and a mesh suited to the curved boundary of the orthotropic circular and elliptical plate is identified. The DXDR method-a variant of the DR (dynamic relaxation) method-is used to solve the finite-difference forms of the governing orthotropic plate equations. The DXDR method and irregular rectilinear mesh are combined along with the Cartesian coordinates to treat all types of boundaries and to analyze the large deformation of non-isotropic circular/elliptical plates. The results obtained from plate analyses demonstrate the potential of the non-uniform meshes employed and it is shown that they are in good agreement with other results for square, circular and elliptical isotropic and orthotropic clamped and simply-supported plates in both fixed and movable cases subjected to transverse pressure loading.

KW - Orthotropic circular and elliptical plates Non-uniform rectangular mesh Large deflection Dynamic relaxation

KW - Non-uniform rectangular mesh

KW - Large deflection

KW - Dynamic relaxation

U2 - 10.1007/s12206-012-0823-7

DO - 10.1007/s12206-012-0823-7

M3 - Journal article

VL - 26

SP - 3231

EP - 3242

JO - Journal of Mechanical Science and Technology

JF - Journal of Mechanical Science and Technology

SN - 1738-494X

IS - 10

ER -

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