DEVELOPMENT OF SIMPLE MODELS FOR THE ELASTIC FORCES IN THE ABSOLUTE NODAL CO-ORDINATE FORMULATION
By M. Berzeri, Ahmed A Shabana. 2000
379 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/fceabd114b40ba3086af22d7d3f329fbabdfe785
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
- K. Nachbagauer
- Aki Mikkola
- Ahmed A Shabana
- Oleg Dmitrochenko
- Jussi T. Sopanen
- Tsubasa Wago
- Y. Sugawara
- Nobuyuki Kobayashi
In Mechanical Engineering
- K. Nachbagauer
- Aki Mikkola
- Oleg Dmitrochenko
- Jussi T. Sopanen
- Ahmed A Shabana
- D. Pogorelov
- Tsubasa Wago
- Y. Sugawara
Citations in the corpus
- Description of Elastic Forces in Absolute Nodal Coordinate Formulation (2003, methodology): “A continuum mechanics approach can be used for defining the nonlinear elastic forces of an absolute nodal coordinate beam element [12, 15 , 16].”
- Generalization of Plate Finite Elements for Absolute Nodal Coordinate Formulation (2003, methodology): “Matrices with hats are similar to mass matrices for beam elements [ 2 ]:”
- Dynamic simulation of frictional contacts of thin beams during large overall motions via absolute nodal coordinate formulation (2014, neutral): “Berzeri and Shabana [46] developed some computationally efficient formulations of evaluating the nonlinear elastic forces of a beam element of ANCF under the assumptions of constant or small longitudinal strain.”
- Study of the Centrifugal Stiffening Effect Using the Finite Element Absolute Nodal Coordinate Formulation (2002, methodology): “Using a nonlinear continuum mechanics approach, a different expression for the stiffness matrix K can be obtained [ 2 ].”
- Reduction of system matrices of planar beam in ANCF by component mode synthesis method (2011, methodology): “As shown in Appendix, Berzeri and Shabana [ 8 ] proposed an approximate formula that states that K j is the constant stiffness matrix when the axial strain is sufficiently small even though K j is the nonlinear matrix.”
- State of the Art of ANCF Elements Regarding Geometric Description, Interpolation Strategies, Definition of Elastic Forces, Validation and the Locking Phenomenon in Comparison with Proposed Beam Finite Elements (2014, methodology): “Many early papers [7,27,104,106] present twodimensional Bernoulli–Euler beam elements based on a corotational approach.”