Optimization of elastic systems using absolute nodal coordinate finite element formulation

Gradient-Based Optimization of Flexible Multibody Systems Using the Absolute Nodal Coordinate Formulation

Lightweight techniques are applied increaslingly often for modern machine designs, such as industrial robots or machine tools, to reduce the moving masses and therewith the energy consumption. However, as a result the stiffness decreases and considerable deformations arise. Thus, for a proper system analysis the method of flexible multibody systems has to be employed. For the optimization of su...

Laminated Composite Shell Element Using Absolute Nodal Coordinate Formulation and Its Application to Ancf Tire Model

Integration of the Equations of Motion of Multibody Systems Using Absolute Nodal Coordinate Formulation

Recently, a finite element formulation, called the absolute nodal coordinate formulation (ANCF), was proposed for the large rotation and deformation analysis of flexible bodies. In this formulation, absolute position and slope coordinates are used to define the finite element configuration. Infinitesimal or finite rotations are not used as nodal coordinates. The ANCF finite elements have many u...

Dynamic Contact between a Wire Rope and a Pulley Using Absolute Nodal Coordinate Formulation

Wire rope and pulley devices are used in various machines. To use these machines more safely, it is necessary to analyze the behavior of the contact between them. In this study, we represent a wire rope by a numerical model of a flexible body. This flexible body is expressed in the absolute nodal coordinate formulation (ANCF), and the model includes the normal contact force and the frictional f...

Stabilized finite element formulation for elastic–plastic finite deformations

This paper presents a stabilized finite element formulation for nearly incompressible finite deformations in hyperelastic–plastic solids, such as metals. An updated Lagrangian finite element formulation is developed where mesh dependent terms are added to enhance the stability of the mixed finite element formulation. This formulation circumvents the restriction on the displacement and pressure ...