Vibration analysis of folded plates

Liu, W.H.; Huang, Chun-Ming

doi:10.1016/0022-460x(92)90570-n

Cited by 59 publications

(25 citation statements)

References 15 publications

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“…10). The non-dimensional frequencies of the five modes of the folded plate under different crank angles α are listed in Table 1 and compared with those of Liu and Huang [13], Irie et al [39], Guha Niyogi et al [6] and ANSYS (SHELL63 element, 10,000 meshes for α = 90 • ; 10,100 meshes for α = 120 • and α = 150 • ). The folded plate is modelled as an assembly of two identical flat plates and 13 × 13 uniformly distributed nodes are used to discretize every flat plate in the meshless scheme.…”

Section: A Single-fold Cantilevered Folded Platementioning

confidence: 99%

“…The non-dimensional frequencies [Eq. (70)] of the five modes under different crank angles β are listed in Table 4 and compared with those of Liu and Huang [13], Guha Niyogi et al [6] and ANSYS (SHELL63 element, 10,000 meshes). The meshless scheme is chosen to be 11×11 uniformly distributed nodes for every flat plate.…”

Section: A Two-fold Cantilevered Folded Platementioning

confidence: 99%

“…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.…”

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confidence: 99%

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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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Section: A Single-fold Cantilevered Folded Platementioning

confidence: 99%

Section: A Two-fold Cantilevered Folded Platementioning

confidence: 99%

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confidence: 99%

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

2006

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“…The shape functions N I (x, y), xI (x) and yI (y) are obtained from Equation (14). A cubic spline function…”

Section: Displacements Approximationmentioning

confidence: 99%

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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“…Irie et al [4] employed the Rayleigh-Ritz method based on the Kirchhoff-Love theory to calculate the natural frequencies and mode shapes of a cantilever folded plate. Liu and Huang [5] developed the finite element transfer matrix method based on the classical plate theory (CPT) to study the natural frequencies of cantilever folded plates and shell panels. Cheung and Kong [6] used spline finite strip method to analyse folded plate structures.…”

Section: Introductionmentioning

confidence: 99%