Rotation shape functions for a low-order quadrilateral plate element with mid-side rotations

2001 ◽  
Vol 17 (3) ◽  
pp. 191-199 ◽  
Author(s):  
M. A. Crisfield ◽  
D. Tan
Keyword(s):  
Plate Element ◽  
Shape Functions ◽  
Quadrilateral Plate ◽  
Low Order

Quadrilateral Plate Element for Laminated Structure

AIAA Journal ◽  
1979 ◽  
Vol 17 (1) ◽  
pp. 95-98 ◽  
Author(s):  
Vichien Nopratvarakorn ◽  
Ju-chin Huang
Keyword(s):  
Plate Element ◽  
Laminated Structure ◽  
Quadrilateral Plate

Compliant Assembly Variation Analysis of Scalloped Segment Plates With a New Irregular Quadrilateral Plate Element Via ANCF

2018 ◽  
Vol 140 (9) ◽  
Author(s):  
Haidong Yu ◽  
Chunzhang Zhao ◽  
Xinmin Lai
Keyword(s):  
Material Properties ◽  
Large Scale ◽  
Orthotropic Materials ◽  
Geometrical Parameters ◽  
Assembly Process ◽  
Plate Element ◽  
Equilibrium Equations ◽  
Assembly Quality ◽  
Quadrilateral Plate ◽  
Thin Walled

The accurate calculation of deformation during assembly process is important for deviation propagation of large-scale thin-walled hemisphere structures with manufacturing deviations due to the nonuniformed material properties and nonlinear geometrical behavior. In this study, a new irregular quadrilateral plate element based on the absolute nodal coordinate formulation (ANCF) is proposed to discretize the scalloped segment plates with shape deviations. The high-order shape functions of the new element are developed by considering the variable geometrical boundaries. The generalized elastic forces (GEFS) of the new elements for anisotropic and orthotropic materials are derived based on continuum mechanics approach. The bending deviation mode is defined and the evaluation indexes for assembly quality of thin-walled hemisphere structures are proposed. The force equilibrium equations are employed to study the deformation during assembly process for large-scale thin-walled hemisphere structures with multiple scalloped segment plates. The numerical results are compared with that from experimental data and abaqus. The correlation between the assembly quality and the bending deviation, the clamping methods, the geometrical parameters, and the material properties of structures is also investigated.

Nonlinear Bending Analysis of First-Order Shear Deformable Microscale Plates Using a Strain Gradient Quadrilateral Element

2016 ◽  
Vol 11 (5) ◽  
Author(s):  
R. Ansari ◽  
M. Faghih Shojaei ◽  
A. H. Shakouri ◽  
H. Rouhi
Keyword(s):  
Finite Element ◽  
Strain Gradient ◽  
Strain Gradient Theory ◽  
Geometrical Parameters ◽  
Element Formulation ◽  
Plate Element ◽  
Nonlinear Bending ◽  
First Order ◽  
Quadrilateral Plate ◽  
Shear Deformable

Based on Mindlin's strain gradient elasticity and first-order shear deformation plate theory, a size-dependent quadrilateral plate element is developed in this paper to study the nonlinear static bending of microplates. In comparison with the classical first-order shear deformable quadrilateral plate element, the proposed element needs 15 additional nodal degrees-of-freedom (DOF) including derivatives of lateral deflection and rotations with respect to coordinates, which means a total of 20DOFs per node. Also, the developed strain gradient-based finite-element formulation is general so that it can be reduced to that on the basis of modified couple stress theory (MCST) and modified strain gradient theory (MSGT). In the numerical results, the nonlinear bending response of microplates for different boundary conditions, length-scale factors, and geometrical parameters is studied. It is revealed that by the developed nonclassical finite-element approach, the nonlinear behavior of microplates with the consideration of strain gradient effects can be accurately studied.

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