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.

Compliant assembly deviation analysis of large-scale thin-walled structures in different clamping schemes via ANCF

2019 ◽  
Vol 40 (2) ◽  
pp. 305-317
Author(s):  
Xun Xu ◽  
Haidong Yu ◽  
Yunyong Li ◽  
Xinmin Lai
Keyword(s):  
Large Scale ◽  
Geometrical Parameters ◽  
Plate Element ◽  
Equilibrium Equations ◽  
Assembly Quality ◽  
Content Type ◽  
Thin Walled Structures ◽  
Quadrilateral Plate ◽  
Thin Walled ◽  
Assembly Deviation

Purpose The structure stiffness is greatly affected by the fixture constraints during assembly due to the flexibility of large-scale thin-walled structures. The compliant deformation of structures is usually not consistent for the non-uniform stiffness in various clamping schemes. The purpose of this paper is to investigate the correlation between the assembly quality and the clamping schemes of structures with various initial deviations and geometrical parameters, which is based on the proposed irregular quadrilateral plate element via absolute nodal coordinate formulation (ANCF). Design/methodology/approach Two typical clamping schemes are specified for the large-scale thin-walled structures. Two typical deviation modes are defined in both free and clamping states in the corresponding clamping schemes. The new irregular quadrilateral plate element via ANCF is validated to analyze the compliant deformation of assembled structures. The quasi-static force equilibrium equations are extended considering the factors of clamping constraints and geometric deviations. Findings The initial deviations and geometrical parameters strongly affect the assembly deviations of structures in two clamping schemes. The variation tendencies of assembly deviations are demonstrated in details with the circumferential clamping position and axial clamping position in two clamping schemes, providing guidance to optimize the fixture configuration. The assembly quality of structures with deviations can be improved by configuration synthesis of the clamping schemes. Originality/value Typical over-constraint clamping schemes and deviation modes in clamping states are defined for large-scale thin-walled structures. The plate element via ANCF is extended to analyze the assembly deviations of thin-walled structures in various clamping schemes. Based on the proposed theoretical model, the effects of clamping schemes and initial deviations on the deformation and assembly deviation propagation of structures are investigated.

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