Explizite symbolische Rücktransformation für redundante Robotersysteme / Explicit Symbolic Solution of the Inverse Kinematics for Redundant Robotic Systems

1999 ◽  
Vol 47 (11) ◽  
Author(s):  
Oleg Ivlev ◽  
Axel Gräser
Keyword(s):  
Inverse Kinematics ◽  
Robotic Systems

scholarly journals Preliminary Analysis of a Lightweight and Deployable Soft Robot for Space Applications

2021 ◽  
Vol 11 (6) ◽  
pp. 2558
Author(s):  
Mario Troise ◽  
Matteo Gaidano ◽  
Pierpaolo Palmieri ◽  
Stefano Mauro
Keyword(s):  
Preliminary Analysis ◽  
Inverse Kinematics ◽  
Control Algorithm ◽  
Dynamic Models ◽  
Robotic Systems ◽  
Inflation Pressure ◽  
Space Applications ◽  
Space Industry ◽  
Rigid Body Model ◽  
Soft Manipulator

The rising interest in soft robotics, combined to the increasing applications in the space industry, leads to the development of novel lightweight and deployable robotic systems, that could be easily contained in a relatively small package to be deployed when required. The main challenges for soft robotic systems are the low force exertion and the control complexity. In this manuscript, a soft manipulator concept, having inflatable links, is introduced to face these issues. A prototype of the inflatable link is manufactured and statically characterized using a pseudo-rigid body model on varying inflation pressure. Moreover, the full robot model and algorithms for the load and pose estimation are presented. Finally, a control strategy, using inverse kinematics and an elastostatic approach, is developed. Experimental results provide input data for the control algorithm, and its validity domain is discussed on the basis of a simulation model. This preliminary analysis puts the basis of future advancements in building the robot prototype and developing dynamic models and robust control.

Kinematic Analysis and Optimization of a Novel Robot for Surgical Tool Manipulation

2008 ◽  
Author(s):  
Xiaoli Zhang ◽  
Carl A. Nelson
Keyword(s):  
Inverse Kinematics ◽  
Degrees Of Freedom ◽  
Force Feedback ◽  
Robotic Systems ◽  
Small Space ◽  
Surgical Robots ◽  
Tool Positioning ◽  
Rotation Axes ◽  
Surgical Tool ◽  
Linear Nature

The size and limited dexterity of current surgical robotic systems are factors which limit their usefulness. To improve the level of assimilation of surgical robots in minimally invasive surgery (MIS), a compact, lightweight surgical robotic positioning mechanism with four degrees of freedom (DOF) (three rotational DOF and one translation DOF) is proposed in this paper. This spatial mechanism based on a bevel-gear wrist is remotely driven with three rotation axes intersecting at a remote rotation center (the MIS entry port). Forward and inverse kinematics are derived, and these are used for optimizing the mechanism structure given workspace requirements. By evaluating different spherical geared configurations with various link angles and pitch angles, an optimal design is achieved which performs surgical tool positioning throughout the desired kinematic workspace while occupying a small space bounded by a hemisphere of radius 13.7 cm. This optimized workspace conservatively accounts for collision avoidance between patient and robot or internally between the robot links. This resultant mechanism is highly compact and yet has the dexterity to cover the extended workspace typically required in telesurgery. It can also be used for tool tracking and skills assessment. Due to the linear nature of the gearing relationships, it may also be well suited for implementing force feedback for telesurgery.

Kinematic Analysis and Optimization of a Novel Robot for Surgical Tool Manipulation

2008 ◽  
Vol 2 (2) ◽  
Author(s):  
Xiaoli Zhang ◽  
Carl A. Nelson
Keyword(s):  
Inverse Kinematics ◽  
Degrees Of Freedom ◽  
Force Feedback ◽  
Robotic Systems ◽  
Small Space ◽  
Surgical Robots ◽  
Tool Positioning ◽  
Rotation Axes ◽  
Surgical Tool ◽  
Linear Nature

The size and limited dexterity of current surgical robotic systems are factors that limit their usefulness. To improve the level of assimilation of surgical robots in minimally invasive surgery (MIS), a compact, lightweight surgical robotic positioning mechanism with four degrees of freedom (DOFs) (three rotational DOFs and one translation DOF) is proposed in this paper. This spatial mechanism based on a bevel-gear wrist is remotely driven with three rotation axes intersecting at a remote rotation center (the MIS entry port). Forward and inverse kinematics are derived, and these are used for optimizing the mechanism structure given workspace requirements. By evaluating different spherical geared configurations with various link angles and pitch angles, an optimal design is achieved, which performs surgical tool positioning throughout the desired kinematic workspace while occupying a small space bounded by a hemisphere of radius 13.7cm. This optimized workspace conservatively accounts for collision avoidance between the patient and robot or internally between the robot links. This resultant mechanism is highly compact and yet has the dexterity to cover the extended workspace typically required in telesurgery. It can also be used for tool tracking and skills assessment. Due to the linear nature of the gearing relationships, it may also be well suited for implementing force feedback for telesurgery.

A Note on Inverse Kinematics of Hybrid Actuation Robots for Path Design Problems

2011 ◽  
Author(s):  
Dong He ◽  
Zhihong Sun ◽  
W. J. Zhang
Keyword(s):  
Constant Velocity ◽  
Inverse Kinematics ◽  
Robotic Systems ◽  
Robot Design ◽  
Path Generation ◽  
Design Problems ◽  
Path Design ◽  
Design Theories ◽  
Hybrid Actuation ◽  
Generation Problem

Hybrid actuation robotic systems are mechanical systems that contain both servomotors and constant-velocity (CV) motors. Due to this nature of hybrid actuation, design of hybrid actuation robots is governed by both mechanism and robot design theories and methodologies. For instance, the path generation problem in mechanism design may take advantage of the effect of the servomotor for its real-time adjusting function, for which inverse kinematics needs to be established on the servomotor. In this paper, we first generalize four types of path design problems. We then present a general formulation of inverse kinematics for a five-bar hybrid actuation robot and compare two specific approaches to inverse kinematics in the literature in terms of of their computation and suitability to the path design of hybrid actuation robots. Finally, we extend the result for the five-bar hybrid actuation robot to a general hybrid actuation robot.

M3tk: A Robot Mobility and Manipulation Modeling Toolkit

2014 ◽  
Author(s):  
Rudranarayan Mukherjee ◽  
Steven Myint ◽  
Johnny Chang ◽  
Isaac Kim ◽  
Jack Craft ◽  
...  
Keyword(s):  
User Interface ◽  
Linear Algebra ◽  
Graphical User Interface ◽  
Inverse Kinematics ◽  
Inverse Dynamics ◽  
3D Visualization ◽  
Robotic Systems ◽  
Kinematics And Dynamics ◽  
Spatially Distributed ◽  
Modeling Toolkit

In this brief paper, we present an overview of the M3tk software for modeling robotic systems. M3tk contains basic kinematics, inverse kinematics, dynamics and inverse dynamics capabilities for articulated multi-rigid body systems. Written in C++, the software features a core kinematics and dynamics library, a linear algebra library specialized for use with the algorithms in M3tk, and a Graphical User Interface with full 3D visualization. It contains implementations of multiple contact mechanics models and the ability to model terrain through heightfields. M3tk also features an ability to model terrains with spatially distributed properties. There is also an ability to manipulate objects using a joystick. This paper summarizes M3tk without delving into the details of the code.

scholarly journals Inverse modeling of the stewart foot

2021 ◽  
Vol 12 (9) ◽  
pp. s774-s793
Author(s):  
Adriana Comanescu ◽  
Alexandra Rotaru ◽  
Liviu Marian Ungureanu ◽  
Florian Ion Tiberiu Petrescu
Keyword(s):  
Inverse Modeling ◽  
Inverse Kinematics ◽  
Robotic Systems ◽  
Kinematic Modeling ◽  
Kinematic Parameters ◽  
End Effector ◽  
Kinematic Chains ◽  
Special Character ◽  
Logical Functions

The Stewart's leg is used today in the majority of parallel robotic systems, such as the Stewart platform, but also in many other types of mechanisms and kinematic chains, in order to operate them or to transmit motion. A special character in the study of robots is the study of inverse kinematics, with the help of which the map of the motor kinematic parameters necessary to obtain the trajectories imposed on the effector can be made. For this reason, in the proposed mechanism, we will present reverse kinematic modeling in this paper. The kinematic output parameters, ie the parameters of the foot and practically of the end effector, ie those of the point marked with T, will be determined for initiating the working algorithm with the help of logical functions, "If log(ical)", with the observation that here they play the role of input parameters; it is positioned as already specified in the inverse kinematics when the output is considered as input and the input as output. The logical functions used, as well as the entire calculation program used, were written in Math Cad.

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