Inverse kinematics of robot manipulator is to determine the joint variables for a given Cartesian position and orientation of an end effector. There is no unique solution for the inverse kinematics thus necessitating application of appropriate predictive models from the soft computing domain. Although artificial neural network (ANN) can be gainfully used to yield the desired results but the gra...

Based on a Lie symmetry analysis, we construct a closed form solution to the kinematic part of the (partial differential) Cosserat equations describing the mechanical behavior of elastic rods. The solution depends on two arbitrary analytical vector functions and is analytical everywhere except a certain domain of the independent variables in which one of the arbitrary vector functions satisfies...

This paper presents a closed-form solution to the inverse kinematic problem for general fluoroscopic C-arms. The resulting algorithm determines the necessary joint parameters for imaging a given point of interest p from a given direction z. The existence and uniqueness of the solution is proven for all p and z. The inverse kinematics lays the basis for a completely robotized C-arm. The paper de...

Designing trajectories for a submerged rigid body motivates this paper. Two approaches are addressed: the time optimal approach and the motion planning approach using concatenation of kinematic motions. We focus on the structure of singular extremals and their relation to the existence of rank-one kinematic reductions; thereby linking the optimization problem to the inherent geometric framework...

This paper is focused on the kinematic control of redundant modular robots for trajectory tracing. Based on the geometric numerical inverse kinematic algorithm developed for modular robots, a new online control method is presented. In this method, the inverse kinematic solution can be optimized through constructing a weighted matrix. Following this approach, some fundamental interpolation algor...

objectives: the aim of this study was to extract suitable spatiotemporal and kinematic parameters to determine how total knee replacement (tkr) alters patients’ knee kinematics during gait, using a rapid and simplified quantitative two-dimensional gait analysis procedure. methods: two-dimensional kinematic gait pattern of 10 participants were collected before and after the tkr surgery, using a ...

In this paper, the kinematic synthesis of a four-link mechanism with rolling contacts is investigated. This mechanism comprises a two-fingered gripper and a grasped object. The synthesis equations used for motion generation and function generation are established. The number of free choices in design variables for the kinematic synthesis is also discussed. Furthermore, the optimization-based nu...

In this paper, the problem of the kinematics and dynamics of two constructional conceptions of a twowheeled mobile robot is considered. The wheeled mobile robot subjected to nonholonomic constraints moves over the inclined plane. Its trajectory consisting of the straight line and the curvilinear path described by the sinusoidal function is analyzed. The kinematic equations for arbitrarily chose...

In this report, we present the analysis of a 6 DOF robot end-effector built to study telerobotic assembly of NASA hardwares in space. Since the end-efector is required to perform high precision motion in a limited workspace, closed-kinematic chain mechanism is chosen for its design. A closed-form solution is obtained for the inverse kinematic problem and an itemtive pmedure employing Newton-Rap...

In this paper the semi-classical approach to the solution of non-linear evolution equation is developed. We found the solution in the entire kinematic region to the non-linear evolution equation that governs the dynamics in the high parton density QCD. The large impact parameter (bt) behavior of the solution is discussed as well as the way how to include the non-perturbative QCD corrections in ...