Figures 8–13 in Ref. 1 contain results of the simulation of a very flexible pendulum. The results presented in this paper are obtained using 4 elements. While convergence is achieved in the case of stiff structures using this number of elements; in the extreme case of very flexible structure convergence is not achieved using the proposed number of finite elements (Figs. 8–13) regardless of the method used in formulating the elastic forces. This is mainly due to the extreme bending configurations that include loops. Some of these configurations are associated with singularities when linear constitutive models are used in the large deformation analysis (2,3). Therefore, the authors would like to bring to the attention of the reader that the results presented in Figs. 8–13 are currently being reexamined. However, all the conclusions made in the paper regarding the significance of the coupled deformation modes in the case of large deformation remain valid, as demonstrated by the results presented in Ref. 2. The results presented in Ref. 2 are obtained using a number of finite elements that ensure convergence. There are several ways that are currently being explored by the authors in order to improve the finite element solution in extreme bending problems (3).
Skip Nav Destination
Article navigation
Errata
Erratum: “Coupled Deformation Modes in the Large Deformation Finite Element Analysis: Problem Definition” [Journal of Computational and Nonlinear Dynamics, 2007, 2, pp. 146–154]
J. Comput. Nonlinear Dynam. Jul 2008, 3(3): 037001 (1 pages)
Published Online: May 6, 2008
Article history
Published:
May 6, 2008
Citation
Hussein, B. A., Sugiyama, H., and Shabana, A. A. (May 6, 2008). "Erratum: “Coupled Deformation Modes in the Large Deformation Finite Element Analysis: Problem Definition” [Journal of Computational and Nonlinear Dynamics, 2007, 2, pp. 146–154]." ASME. J. Comput. Nonlinear Dynam. July 2008; 3(3): 037001. https://doi.org/10.1115/1.2909085
Download citation file:
Get Email Alerts
Cited By
A comparative analysis among dynamics modelling approaches for space manipulator systems
J. Comput. Nonlinear Dynam
An Efficient Analysis of Amplitude and Phase Dynamics in Networked MEMS-Colpitts Oscillators
J. Comput. Nonlinear Dynam
Data-Driven Modeling of Tire–Soil Interaction With Proper Orthogonal Decomposition-Based Model Order Reduction
J. Comput. Nonlinear Dynam (December 2024)
Related Articles
Comparison of Three-Dimensional Flexible Beam Elements for Dynamic Analysis: Classical Finite Element Formulation and Absolute Nodal Coordinate Formulation
J. Comput. Nonlinear Dynam (January,2010)
On the Original Publication of the General Canonical Functional of Linear Elasticity
J. Appl. Mech (March,2000)
Gradient Deficient Curved Beam Element Using the Absolute Nodal Coordinate Formulation
J. Comput. Nonlinear Dynam (April,2010)
Performance of the Incremental and Non-Incremental Finite Element Formulations in Flexible Multibody Problems
J. Mech. Des (December,2000)
Related Proceedings Papers
Related Chapters
Static Deformations Budget
Mechanics of Accuracy in Engineering Design of Machines and Robots Volume II: Stiffness and Metrology
Variational Methods
Vibrations of Linear Piezostructures
Data Tabulations
Structural Shear Joints: Analyses, Properties and Design for Repeat Loading