An exact strip method for folded plate structures

Eterovic, Adrian Luis; Godoy, Luis A.

doi:10.1016/0045-7949(89)90038-2

Cited by 23 publications

(9 citation statements)

References 1 publication

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“…Tables 4 and 5 present the first five non-dimensional frequencies by the two methods for different cases of gap angle and folded plate's thickness. The results are compared with those by Peng et al [2] (using a mesh-less scheme of 11 × 11 nodes for each plate), ANSYS [2] (using Shell181 element with 10,000 meshes), Liu and Huang [1], and Guha Niyogi et al [12]. It is again seen that the results by the CS-FEM-DSG3 agree better with the reference results than those by the DSG3.…”

Section: Free Vibration Analysis Of a Two-fold Folded Platesupporting

confidence: 61%

“…By using other kinds of four-node shell elements, the transient response and geometrically nonlinear behavior of laminated composite folded plates were respectively investigated by Nayak [3] and Barbero [26]. In addition, basing on the first order shear deformation theory (FSDT), Niyogi et al [12] used a nine-node plate bending element with an additional drilling DOF to analyze the free and forced vibration responses of composite folded plate structures. The method was then extended for frequency optimization problem by Topal and Uzman [25], and for dynamic analysis of stiffened ones by Pal and Niyogi [23].…”

Section: Introductionmentioning

confidence: 99%

“…Some highlighted numerical methods that have been proposed to analyze folded plate structures are the finite strip element methods [13][14][15][16], the combined boundary elementtransfer matrix method [17], the finite element method (FEM) [3,12,[18][19][20][21][22][23][24][25][26][27][28], the mesh-free Galerkin method [2,29]. Among these methods, the FEM, which is highly appreciated by the effectiveness and the extensibility for various problems, has taken much attention from researchers.…”

Section: Introductionmentioning

confidence: 99%

“…This method yielded good results for static analysis of long folded plates. In this stage, besides simplified model-based methods that were suitable for preliminary designs, a semi-analytical method developed by Goldberg and Leve [11] was considered as the first that gave an exact solution for static analysis of folded plate [12]. In their method, with a considerable computational effort, the authors used both two-dimensional theory of elasticity and two-way slab theory to account for both the membrane and bending actions of the folded plate.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Static and free vibration analyses of stiffened folded plates using a cell-based smoothed discrete shear gap method (CS-FEM-DSG3)

Nguyen-Minh

Nguyen-Thoi

Bui-Xuan

et al. 2015

Applied Mathematics and Computation

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Section: Free Vibration Analysis Of a Two-fold Folded Platesupporting

confidence: 61%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Static and free vibration analyses of stiffened folded plates using a cell-based smoothed discrete shear gap method (CS-FEM-DSG3)

Nguyen-Minh

Nguyen-Thoi

Bui-Xuan

et al. 2015

Applied Mathematics and Computation

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“…Several solution methods, such as the finite strip method [9][10][11], the combined boundary element-transfer matrix method [12] and the finite element method (FEM) [6,[13][14][15], have been proposed to solve folded plate and plate structure problems. The FEMs are mature and remarkable and lots of commercial software were developed and used as tools for structural analysis.…”

mentioning

confidence: 99%

Free Vibration Analysis of Folded Plate Structures by the FSDT Mesh-free Method

2006

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Based on the first-order shear deformation theory, a mesh-free Galerkin method for free vibration analysis of stiffened and un-stiffened folded plates and plate structures is presented in this paper. The folded plate or plate structure is modelled as a composite structure that consists of flat plates. The stiffness and mass matrices of the flat plates are derived based on the mesh-free formulation. To avoid the failure of direct superposition, a treatment is introduced to modify the stiffness and mass matrices. The global stiffness and mass matrices of the entire folded plate or plate structure are then obtained by superposing the modified stiffness and mass matrices of the flat plates. The analysis of the stiffened folded plates or plate structures proceeds in a similar fashion, as they are regarded as composite structures of stiffened and un-stiffened flat plates. The stiffness and mass matrices of the stiffened flat plates are also given by the mesh-free method. As no meshes are used in deriving the stiffness and mass matrices, the proposed method is more flexible in studying problems for which remeshing is inevitable with the finite element methods. Several numerical examples are computed with the proposed method to demonstrate its accuracy and convergence. The results show good agreement with the solutions that have been given by other researchers and ANSYS.

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Buckling of folded plate structures subjected to partial in‐plane edge loads by the FSDT meshfree Galerkin method

Liew

Peng

Kitipornchai

2005

Numerical Meth Engineering

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SUMMARYThis paper presents a meshfree Galerkin method that is based on the first-order shear deformation theory (FSDT) to study the elastic buckling behaviour of stiffened and un-stiffened folded plates under partial in-plane edge loads. The un-stiffened folded plates are modelled as assemblies of flat plates. The stiffness and initial stress matrices of the flat plates are derived by the meshfree Galerkin method. A treatment is implemented to modify the stiffness and initial stress matrices, and the matrices are then superposed to obtain the stiffness and initial stress matrix of the entire folded plate. The analytical process for stiffened folded plates is similar, except that the effects of the stiffeners must be taken into account. Because no mesh is required, the proposed method is superior for studying problems that would involve remeshing in the finite element method. Several examples are employed to show the convergence and accuracy of the proposed method. The results obtained show good agreement with the results computed from the finite element analysis software ANSYS.

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An exact strip method for folded plate structures

Cited by 23 publications

References 1 publication

Static and free vibration analyses of stiffened folded plates using a cell-based smoothed discrete shear gap method (CS-FEM-DSG3)

Static and free vibration analyses of stiffened folded plates using a cell-based smoothed discrete shear gap method (CS-FEM-DSG3)

Free Vibration Analysis of Folded Plate Structures by the FSDT Mesh-free Method

Buckling of folded plate structures subjected to partial in‐plane edge loads by the FSDT meshfree Galerkin method

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