Abstract: This paper is aimed in presenting a study on the kinematic modeling of the Tricept based five-axis vertical machine tool. Since the machine comprises 3-DOF parallel structure and 2-DOF serial wrist kinematic modeling also comprises serial and parallel part. As solution of direct and inverse kinematics of 2-DOF serial wrist is well known the study in this paper will focus on the parall...

Both the forward and backward kinematics of the Gough-Stewart mechanism exhibit nonlinear behavior. It is critically important to take account of this nonlinearity in some applications such as path control in parallel kinematics machine tools. The nonlinearity of inverse kinematics is straightforward and has been first studied in this paper. However the nonlinearity of forward kinematics is mor...

Many applications in computer animation portray the motion of a human arm and torso. Often such applications can benefit from a combination of Inverse (IK) and Forward (FK) Kinematics controls to manipulate the arms of the model. The human arm is a kinematic chain with seven degrees of freedom. The previous analytic solution to this kinematic chain gives highly detailed IK controls, but problem...

This paper represents an analytical approach for solving forward kinematics problem of a serial robot manipulator with six degrees of freedom and a specific combination of joints and links to formulate the position of the gripper by a given set of joint angles. In addition, a direct geometrical solution for the robot’s inverse kinematics problem will be defined in order to calculate the robot’s...

This paper studies modeling of tangential compliance as two rigid bodies collide in the space. Stronge’s spring-based contact structure [13, pp. 95-96] is extended to three dimensions. Slip or stick is indicated by the tangential motion of a massless particle connected to the contact point (viewed as an infinitesimal region) on one body via three orthogonal springs. We show that the effect of t...

In this paper, we present a fast and easy-to-implement locally physics-based Inverse Kinematics(IK) method. Our method builds upon a mass-spring model and relies on force interactions between masses. Joint rotations are computed using the closed-form method with predefined local axis coordinates. Combining these two approaches offers convincing visual quality results obtained with high time per...

A novel approach is proposed for the attitude stabilization and reorientation of an axi-symmetric spacecraft subject to two gas jet actuators. The approach is based on a new formulation of the attitude kinematics. Abstract| In this paper we consider the problem of attitude stabilization of an axi-symmetric spacecraft using two pairs of gas jet actuators. These actuators provide control torques ...

To investigate the parameters of the protein design problem that we are exploring in collaboration with biochemists, we have developed a tool that uses inverse kinematics to support moving small fragments of protein backbone, while respecting biochemists’ desires to “remain in favorable regions of the Ramachandran plot” and “preserve ideal geometry”. By presenting estimates of derivatives in re...

We give a general treatment of twist-three effects in two-photon reactions. We address the issue of the gauge invariance of the Compton amplitude in generalized Bjorken kinematics and relations of twist-three 'transverse' skewed parton distributions to twist-two ones and interaction dependent three-particle correlation functions. Finally, we discuss leading order evolution of twist-three functi...