scholarly journals Finite elements using absolute nodal coordinates for large-deformation flexible multibody dynamics

2008 ◽  
Vol 215 (2) ◽  
pp. 368-377 ◽  
Author(s):  
Oleg Dmitrochenko
Keyword(s):  
Finite Elements ◽  
Large Deformation ◽  
Multibody Dynamics ◽  
Flexible Multibody Dynamics ◽  
Absolute Nodal Coordinates ◽  
Flexible Multibody ◽  
Nodal Coordinates

Review of Finite Elements Using Absolute Nodal Coordinates for Large-Deformation Problems and Matching Physical Experiments

2005 ◽  
Author(s):  
Wan-Suk Yoo ◽  
Oleg Dmitrochenko ◽  
Dmitry Yu. Pogorelov
Keyword(s):  
Finite Elements ◽  
Large Deformation ◽  
Equations Of Motion ◽  
Flexible Multibody Dynamics ◽  
Absolute Nodal Coordinates ◽  
Current State ◽  
Physical Experiments ◽  
Spatial Beams ◽  
Nodal Coordinates ◽  
Large Deformation Problems

A review of the current state of the absolute nodal coordinate formulation (ANCF) is proposed for large-displacement and large-deformation problems in flexible multibody dynamics. The review covers most of the known implementations of different kinds of finite elements including thin and thick planar and spatial beams and plates, their geometrical description inherited from FEM, and formulations of the most important elements of equations of motion. Much attention is also paid to simulation examples that show the reasonableness and accuracy of the formulation applied to real physical problems and that are compared with experiments having significant geometrical non-linearity. Current and further development directions of the ANCF are also briefly outlined.

scholarly journals A New Flexible Multibody Dynamics Analysis Methodology of Deployable Structures with Scissor-Like Elements

2019 ◽  
Vol 32 (1) ◽  
Author(s):  
Qi’an Peng ◽  
Sanmin Wang ◽  
Changjian Zhi ◽  
Bo Li
Keyword(s):  
Multibody Dynamics ◽  
Flexible Multibody Dynamics ◽  
Dynamics Analysis ◽  
Deployable Structures ◽  
Constraint Equations ◽  
Deployable Structure ◽  
Analysis Methodology ◽  
Flexible Multibody ◽  
Nodal Coordinates ◽  
Element Characteristic

Abstract There are vast constraint equations in conventional dynamics analysis of deployable structures, which lead to differential-algebraic equations (DAEs) solved hard. To reduce the difficulty of solving and the amount of equations, a new flexible multibody dynamics analysis methodology of deployable structures with scissor-like elements (SLEs) is presented. Firstly, a precise model of a flexible bar of SLE is established by the higher order shear deformable beam element based on the absolute nodal coordinate formulation (ANCF), and the master/slave freedom method is used to obtain the dynamics equations of SLEs without constraint equations. Secondly, according to features of deployable structures, the specification matrix method (SMM) is proposed to eliminate the constraint equations among SLEs in the frame of ANCF. With this method, the inner and the boundary nodal coordinates of element characteristic matrices can be separated simply and efficiently, especially on condition that there are vast nodal coordinates. So the element characteristic matrices can be added end to end circularly. Thus, the dynamic model of deployable structure reduces dimension and can be assembled without any constraint equation. Next, a new iteration procedure for the generalized-α algorithm is presented to solve the ordinary differential equations (ODEs) of deployable structure. Finally, the proposed methodology is used to analyze the flexible multi-body dynamics of a planar linear array deployable structure based on three scissor-like elements. The simulation results show that flexibility has a significant influence on the deployment motion of the deployable structure. The proposed methodology indeed reduce the difficulty of solving and the amount of equations by eliminating redundant degrees of freedom and the constraint equations in scissor-like elements and among scissor-like elements.

Verification of Absolute Nodal Coordinate Formulation in Flexible Multibody Dynamics via Physical Experiments of Large Deformation Problems

2005 ◽  
Vol 1 (1) ◽  
pp. 81-93 ◽  
Author(s):  
Wan-Suk Yoo ◽  
Su-Jin Park ◽  
Oleg N. Dmitrochenko ◽  
Dmitry Yu. Pogorelov
Keyword(s):  
Large Deformation ◽  
Multibody Dynamics ◽  
Absolute Nodal Coordinate Formulation ◽  
Equations Of Motion ◽  
Geometrical Nonlinearity ◽  
Flexible Multibody Dynamics ◽  
Absolute Nodal Coordinate ◽  
Spatial Beams ◽  
Flexible Multibody ◽  
Large Deformation Problems

A review of the current state of the absolute nodal coordinate formulation (ANCF) is proposed for large-displacement and large-deformation problems in flexible multibody dynamics. The review covers most of the known implementations of different kinds of finite elements including thin and thick planar and spatial beams and plates, their geometrical description inherited from FEM, and formulations of the most important elements of equations of motion. Much attention is also paid to simulation examples that show reasonableness and accuracy of the formulations applied to real physical problems and that are compared with experiments having significant geometrical nonlinearity. Current and further development directions of the ANCF are also briefly outlined.

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