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Content available remote Model manipulatora o strukturze szeregowej w programach Catia i Matlab
PL
W pracy opracowano modele manipulatora Fanuc S-420F o strukturze szeregowej z uwzględnieniem jego analizy kinematycznej w środowisku CATIA i Matlab. Otrzymane modele wykorzystano do generowania trajektorii robota we współrzędnych konfiguracyjnych. Wyznaczono zależności współrzędnych kartezjańskich członu roboczego względem podstawy manipulatora od czasu dla zadanego przejścia z położenia A do B. Porównano wyniki uzyskane z modeli utworzonych w środowisku CATIA i Matlab.
EN
Models of Fanuc S-420F serial manipulator for kinematic analysis were formulated in CATIA and Matlab environment. The resulting models were used to generate the manipulator trajectory in joint space. Cartesian coordinates of the robot end-effector were determined in relation to time of passing from pose A to B. The results obtained from the models created in CATIA and Matlab environments were compared.
EN
The objective of this paper is to present and make a comparative study of several inverse kinematics methods for serial manipulators, based on the Jacobian matrix. Besides the well-known Jacobian transpose and Jacobian pseudo-inverse methods, three others, borrowed from numerical analysis, are presented. Among them, two approximation methods avoid the explicit manipulability matrix inversion, while the third one is a slightly modified version of the Levenberg–Marquardt method (mLM). Their comparison is based on the evaluation of a short distance approaching the goal point and on their computational complexity. As the reference method, the Jacobian pseudo-inverse is utilized. Simulation results reveal that the modified Levenberg–Marquardt method is promising, while the first order approximation method is reliable and requires mild computational costs. Some hints are formulated concerning the application of Jacobian-based methods in practice.
EN
This paper concerns the problem of designating criteria for assessing the possibility of a collision between the elements of serial manipulators with three rotary joints allowing to flex the segments in common plane oriented by rotating the fourth connection. The issue of contactless and efficient functioning of described group of manipulators has been considered in the spatial system. Equations were derived determining the possibility of a collision between selected segments of both manipulators. Collision detection model isn't based on the information from the tactile sensors, but only on the relative position between the segments of manipulators. Based on the parameters defining the collision, the search for method of impossible collision was set on designing level, in order to minimize the time needed to examine all possible scenarios of collisions between segments. The results were included in development of methods and algorithms for planning and controlling movements of finger modules in anthropomorphic manipulator during grasping objects of indeterminate shape.
EN
This paper presents a simple procedure that can be used to determine the stiffness matrix of 6R serial manipulator in selected points of the work space with joint stiffness coefficients taking into account. Elastokinematical model for the robot manipulator FANUC S-420F was considered as spatial and serial kinematical chain composed of six rigid links, connected by ideal revolute joint (without clearances and deformable elements), with torsion elasticity of the joint drive system (relative torsion deformations are proportional to acted torques) taking into account. Assumed model is used for displacement analysis of the end-effector for a given applied force in quasi-static condition. The analysis results are presented as Cartesian stiffness matrix of studied manipulator.
PL
W celu badania charakterystyk liniowej sztywności manipulatora o strukturze szeregowej wykonano stanowisko pomiarowe wykorzystujące platformę, na której zamocowane są trzy czujniki linkowe do pomiaru przemieszczenia. Badania wykonano na manipulatorze (robot przemysłowych S420F) o strukturze szeregowej i ruchliwości równej 6. Ze względu na małą masę ruchomą linek pomiarowych oraz ich napięcie wstępne, zbudowane stanowisko może być użyte także do pomiarów w warunkach dynamicznych, jak i do wyznaczania powtarzalności pozycjonowania manipulatora.
EN
In order to estimate linear stiffness characteristics of serial type manipulator a test rig was built using an platform with three wire-based sensors arranged in a pyramid configuration. This enables for measurement all components of linear displacement of the end-effector under changing quasi-static load. Measurements results are presented for a robot with 6 degrees of freedom (S420F). The proposed measuring system is described by backlash free design, negligible moving inertia and low force preload, making the measurements also possible in dynamic conditions.
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