128 Study on an Assembling Method of the 2-Dimensional Beam Elements Formulated by Absolute Nodal Coordinates

2007 ◽  
Vol 2007 (0) ◽  
pp. _128-1_-_128-6_
Author(s):  
Yoshitaka TAKAHASHI ◽  
Nobuyuki SHIMIZU
Keyword(s):  
Absolute Nodal Coordinates ◽  
Beam Elements ◽  
Nodal Coordinates

Absolute Nodal Coordinates in Digital Image Correlation

2012 ◽  
Vol 53 (5) ◽  
pp. 807-818 ◽  
Author(s):  
M. Langerholc ◽  
J. Slavič ◽  
M. Boltežar
Keyword(s):  
Digital Image Correlation ◽  
Digital Image ◽  
Image Correlation ◽  
Absolute Nodal Coordinates ◽  
Nodal Coordinates

A Numerical Approach to Solving Flexible Multibody Systems Using the Absolute Nodal Coordinate Formulation

1999 ◽  
Author(s):  
R. Y. Yakoub ◽  
A. A. Shabana
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Sparse Matrix ◽  
Mass Matrix ◽  
Numerical Approach ◽  
Absolute Nodal Coordinates ◽  
Absolute Nodal Coordinate ◽  
Velocity Transformation ◽  
Flexible Multibody ◽  
Nodal Coordinates ◽  
The Absolute

Abstract By utilizing the fact that the absolute nodal coordinate formulation leads to a constant mass matrix, a Cholesky decomposition of the mass matrix can be used to obtain a constant velocity transformation matrix. This velocity transformation can be used to express the absolute nodal coordinates in terms of the generalized Cholesky coordinates. In this case, the inertia matrix associated with the Cholesky coordinates is the identity matrix, and therefore, an optimum sparse matrix structure can be obtained for the augmented multibody equations of motions. The implementation of a computer procedure based on the absolute nodal coordinate formulation and Cholesky coordinates is discussed in this paper. A flexible four-bar linkage is presented in this paper in order to demonstrate the use of Cholesky coordinates in the simulation of the small and large deformations in flexible multibody applications. The results obtained from the absolute nodal coordinate formulation are compared to those obtained from the floating frame of reference formulation.

A new locking-free shear deformable finite element based on absolute nodal coordinates

2007 ◽  
Vol 50 (1-2) ◽  
pp. 249-264 ◽  
Author(s):  
Daniel García-Vallejo ◽  
Aki M. Mikkola ◽  
José Luis Escalona
Keyword(s):  
Finite Element ◽  
Absolute Nodal Coordinates ◽  
Nodal Coordinates ◽  
Deformable Finite Element ◽  
Shear Deformable

Buckling analysis of beam structure with absolute nodal coordinate formulation

2020 ◽  
pp. 095440622094711
Author(s):  
Jia Wang ◽  
Tengfei Wang
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Nonlinear Function ◽  
Shear Stiffness ◽  
Buckling Analysis ◽  
Absolute Nodal Coordinate ◽  
Tangent Stiffness Matrix ◽  
Beam Elements ◽  
Highly Nonlinear ◽  
Analysis Scheme ◽  
Nodal Coordinates

Absolute nodal coordinate formulation (ANCF) was applied to the buckling analysis. A delicate analysis scheme based on dichotomy method was proposed to solve the buckling problem with beam elements whose tangent stiffness matrix is a highly nonlinear function of nodal coordinates. Three existing planar beam elements are employed to show the application. The accuracy and capability of the ANCF beam for buckling analysis was validated with benchmark cases. Additionally, the influence of the shear effect on the buckling load is thoroughly investigated by comparing the solutions associated with different shear stiffness and slenderness.

Sign in / Sign up

Export Citation Format

Share Document