... coordinates, such as Euler angles, cannot be expanded into Fourier series, which prevents direct usage of the IHB method. To overcome the problem, the natural coordinates method and absolute nodal coordinate formulation (ANCF) are used herein for the dynamic modeling of the rigid and flexible bodies...

... Natural Science Foundations of China (NSFC) (Grant No. 11772101; Funder ID: 10.13039/501100001809). 12 06 2023 31 07 2024 06 09 2024 absolute nodal coordinate formulation mesh distortions local curvilinear coordinates constant stiffness matrix References...

... kinetic approach strain approach thermal-expansion displacement formulation (TEDF) absolute nodal coordinate formulation National Science Foundation 10.13039/100000001 1852510 Temperature has a significant effect in a wide range of technological applications in critical areas...

... of constrained and unconstrained thermal expansion, the reference-configuration geometry is accurately described using the absolute nodal coordinate formulation (ANCF) finite elements. ANCF position-gradient vectors have unique geometric meanings as tangent to coordinate lines, allowing systematic description...

... and multibody system (MBS) applications. These spatial elements are based on geometry derived from the kinematic description of the absolute nodal coordinate formulation (ANCF). In order to allow for an accurate reference-configuration geometry description, the element shape functions are formulated using...

...Qinglong Tian; Peng Lan; Zuqing Yu A new method of model-order reduction for the flexible multibody system which undergoes large deformation and rotation is proposed. At first, the flexible multibody system is modeled by absolute nodal coordinate formulation (ANCF), and then, the whole motion...

... specifications, the mechanics-based geometry/analysis absolute nodal coordinate formulation (ANCF) is used to define the tire geometry with the same degree of accuracy as B-splines and nonuniform rational B-spline (NURBS), widely used in the computer-aided design (CAD) systems. In the case of large deformations...

...Tengfei Wang; Zuqing Yu; Peng Lan In this paper, a new four-node incomplete cubic tetrahedral element (ICTE) based on the absolute nodal coordinate formulation (ANCF) is developed employing both volume coordinate and Cartesian coordinate parameter set. From the view of the order of interpolation...

... S. Yigit. 31 03 2014 21 07 2014 09 04 2015 Higher order finite elements (FEs) based on the absolute nodal coordinate formulation (ANCF) may require the use of curvature vectors as nodal coordinates. The curvature vectors, however, can be difficult to define at the reference...

...Ahmed A. Shabana Slope discontinuities and T-sections can be modeled in a straight forward manner using fully parameterized absolute nodal coordinate formulation (ANCF) finite elements that have a complete set of gradient vectors. Linear transformations that define the element connectivity can...

... of the absolute nodal coordinate formulation (ANCF) that defines unique displacement and rotation fields. ANCF finite elements allow for imposing curvature continuity without increasing the order of the interpolation or the number of nodal coordinates, as demonstrated in this paper. Furthermore, the relationship...

... element absolute nodal coordinate formulation (ANCF) that allows for a straight forward implementation of general linear and nonlinear material models for structural elements such as beams, plates, and shells. Furthermore, this formulation, which is based on a more general kinematic description, can...

... on the absolute nodal coordinate formulation (ANCF). The characteristic of the ANCF that the mass matrix is constant and both Coriolis and centrifugal terms vanish in the equations of motion make the proposed method computationally efficient. Within the proposed method, no additional unknowns...

...Markus Dibold; Johannes Gerstmayr; Hans Irschik In extension to a former work, a detailed comparison of the absolute nodal coordinate formulation (ANCF) and the floating frame of reference formulation (FFRF) is performed for standard static and dynamic problems, both in the small and large...