Three Dimensional Formulation of Large Displacement Problems: The Zipper Frame Example

2014 ◽  
pp. 57-75
Author(s):  
Macarena Schachter Adaros
Keyword(s):  
Three Dimensional ◽  
Large Displacement

Nonlinear Axisymmetric Deformation Model for Structures of Revolution

2011 ◽  
Vol 3 (4) ◽  
pp. 420-447
Author(s):  
Ayman Mourad ◽  
Jawad Zaarour
Keyword(s):  
Coordinate System ◽  
Three Dimensional ◽  
Axisymmetric Deformation ◽  
Large Displacement ◽  
Deformation Model ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Cylindrical Coordinate ◽  
Mathematical Derivation ◽  
Displacement Effects

AbstractAn axisymmetric formulation for modeling three-dimensional deformation of structures of revolution is presented. The axisymmetric deformation model is described using the cylindrical coordinate system. Large displacement effects and material nonlinearities and anisotropy are accommodated by the formulation. Mathematical derivation of the formulation is given, and an example is presented to demonstrate the capabilities and efficiency of the technique compared to the full three-dimensional model.

Three-dimensional design of a large-displacement morphing wing droop nose device

2018 ◽  
Vol 29 (16) ◽  
pp. 3222-3241 ◽  
Author(s):  
Srinivas Vasista ◽  
Felix Nolte ◽  
Hans Peter Monner ◽  
Peter Horst ◽  
Marco Burnazzi
Keyword(s):  
Structural Design ◽  
Three Dimensional ◽  
Leading Edge ◽  
Maximum Error ◽  
Large Displacement ◽  
Lightning Strike ◽  
Morphing Wing ◽  
Optimization Stage ◽  
Kinematic Mechanisms ◽  
Kinematic Optimization

The numerical three-dimensional structural design of a large-displacement flexible morphing wing leading edge, otherwise known as a droop nose, is presented in this article. The droop nose is an essential component of a novel internally blown high-lift system for a transport aircraft to delay stall and reduce internal compressor requirements. A design chain consisting of optimization procedures was used to arrive at the structural design of the droop nose composed of a composite fiberglass skin with integral stringers and supporting kinematic mechanisms. The optimization tools aim to produce a design with minimal error to the critical target shapes. A maximum final error of 10.09 mm between calculated and target trajectories of the stringers was found after the kinematic optimization stage. After inputting the kinematic optimization results into the skin optimization stage and solving, a maximum error in the order of 13 mm and curvature difference 0.0028 1/mm were calculated, occurring in the outboard region. Prior two-dimensional analyses with similar shape deviations showed 0.4% lift reduction though further three-dimensional investigations are required. Concepts for integrating industrial requirements abrasion and lightning strike protection and in-flight de-icing into a multifunctional skin show promise and the resulting aerodynamic surface quality was found to be adequate.

scholarly journals Application of Three-Dimensional Meshless Method in Muzzle Flow Field of Projectile with Large Displacement

2021 ◽  
Vol 39 (1) ◽  
pp. 41-50
Author(s):  
Liang Wang ◽  
Rui Xue ◽  
Ning Cai ◽  
Wei Wu ◽  
Dongliang Zhang
Keyword(s):  
Flow Field ◽  
Meshless Method ◽  
Three Dimensional ◽  
Large Displacement

Research on the method of three-dimensional surface displacements of Tianjin area based on combined multi-source measurements

2020 ◽  
Vol 14 (1) ◽  
pp. 83-94
Author(s):  
Nannan Guo ◽  
Wei Zhan
Keyword(s):  
Velocity Field ◽  
Spatial Resolution ◽  
Displacement Field ◽  
High Spatial Resolution ◽  
Weighted Least Squares ◽  
Three Dimensional ◽  
Large Displacement ◽  
Gps Measurements ◽  
Large Spatial Scale ◽  
Surface Time

AbstractCombining multi-source measurements can improve the accuracy and the spatial resolution of the three-dimensional (3-D) displacements field. Few researches have been conducted to integrate InSAR, GPS and leveling data of Tianjin in the recent three years to get the 3-D large displacement velocity field. How to effectively combine multi-source measurements and obtain the accurate 3-D large displacement field in high spatial resolution is worth studying. In this paper, the optimal method for acquiring 3-D displacement field by combining InSAR, leveling and GPS measurements is obtained by comparing the different methods. Then we realize the combining InSAR, leveling and GPS measurements to obtain the high-precision 3-D displacement field in Tianjin (China) from 2016 to 2018. Compared with different methods, we integrate InSAR, GPS and leveling measurements and use the weighted least squares method to estimate the 3-D displacement field with the highest accuracy. Although the accuracy of the horizontal displacement field obtained by this method has not been greatly improved, the vertical accuracy is obviously better than the other methods. The introduction of leveling measurements is beneficial to improve the accuracy of the vertical displacement field. Compared with independent GPS measurements, the standard deviations of 3-D displacements velocity field estimated by optimal solution method is 2.6 mm/yr, 2.1 mm/yr and 2.7 mm/yr in the vertical, eastern and northern directions, respectively. These results indicate that this method effectively utilizes the advantages of GPS, InSAR and leveling measurements, and extends the limitations of a single technical in describing surface-time scale applications. And the 3-D displacements information with a large spatial scale and high spatial resolution provides a reliable data basis for studying the crustal movement and its dynamic mechanism in China.

scholarly journals Accurate through-the-thickness stress distributions in thin-walled metallic structures subjected to large displacements and large rotations

2020 ◽  
Vol 42 (3) ◽  
pp. 239-254
Author(s):  
A. Pagani ◽  
R. Azzara ◽  
R. Augello ◽  
E. Carrera ◽  
B. Wu
Keyword(s):  
Three Dimensional ◽  
Path Following ◽  
Higher Order ◽  
Large Displacement ◽  
Shear Stresses ◽  
Stress Distributions ◽  
Displacement Fields ◽  
Isotropic Shell ◽  
Geometrical Nonlinear ◽  
Lagrange Strain

The present paper presents the evaluation of three-dimensional (3D) stress distributions of shell structures in the large displacement and rotation fields. The proposed geometrical nonlinear model is based on a combination of the Carrera Unified Formulation (CUF) and the Finite Element Method (FEM). Besides, a Newton-Raphson linearization scheme is adopted to compute the geometrical nonlinear equations, which are constrained using the arc-length path-following method. Static analyses are performed using refined models and the full Green-Lagrange strain-displacement relations. The Second Piola-Kirchhoff (PK2) stress distributions are evaluated, and lower- to higher-order expansions are employed. Popular benchmarks problems are analyzed, including cylindrical isotropic shell structure with various boundary and loading conditions. Various numerical assessments for different equilibrium conditions in the moderate and large displacement fields are proposed. Results show the distribution of axial and shear stresses, varying the refinement of the proposed two-dimensional (2D) shell model. It is shown that for axial components, a lower-order expansion is sufficient, whereas a higher-order one is needed to accurately predict shear stresses.

Three-dimensional large displacement analysis of orthodontic appliances

1976 ◽  
Vol 9 (12) ◽  
pp. 793-801 ◽  
Author(s):  
Joseph C. DeFranco ◽  
Herbert A. Koenig ◽  
Charles J. Burstone
Keyword(s):  
Three Dimensional ◽  
Large Displacement ◽  
Orthodontic Appliances ◽  
Displacement Analysis
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