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Abstract

The properties of matrix operations and the properties of Hartenberg-Denavit's co-ordinate system's transformation matrices were used for deriving a dependence facilitating an easier determination of the links' angular velocity vectors in the link-related co-ordination systems. The use of derived dependence does not require determining products of transformation matrices nor inverse matrices. The numbers of necessary algebraic operations for previous and simplified dependences was set up. The use of a simplified dependence was illustrated by a numerical example.
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Authors and Affiliations

Andrzej A. Stępniewski
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Abstract

The paper concerns the analysis of the kinematics of the dislocation process that affects surface points within the area of underground exploitation. The problem discussed in the paper is the estimation of the changes concerning spatial configuration of a body, forced by underground influence, Observations of the real process show that the trajectories indicating the dislocations of the medium points are irregular. The deterministic description of the examined process, as a rule, generates smooth trajectories of point dislocation. Therefore, as is natural, the analytical representation of the process cannot be approximated to measurement results with arbitrary accuracy. The entropy has been assumed as the measure of the randomness of a given process. It has been shown then that the entropy is not constant. Hence the description of the post-mining dislocation process has been presented as a stochastic model. The quantitative results of the description have been put to a statistical estimation.
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Authors and Affiliations

Wiesław Piwowarski
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Abstract

Using a highly sensitive and precise apparatus, series of spatial movements of human cervical segments (C3/C4) were measured. They followed cyclic varied pure torques for axial rotation, lateral flexion, and flexion-extension in the presence of axially directed preloads as running parameter, whose force lines were shifted over the segments. By successive resections of the uncovertebral and zygapophysial joints as well as ligamental structures, the reach of these guiding structures for segmental kinematics and stiffness could be evaluated. For the first time, the biomechanical significance of the uncovertebral joints could be substantiated. In axial rotation and in lateral bending, the instantaneous helical axis (IHA) was found to be not stationary. Its position depended on the size of the rotational angle. The ensemble of the skew IHA formed a ruled surface with a waist. Torque and unit vector of the IHA were found to be parallel only for flexion-extension. In this case, all four joints were in guiding function, whereas in axial rotation and lateral flexion the joints alternated with each other. IHA included with torque Tz(t) for axial rotation ≈+30deg, and with torque Tx(t) ≈−30deg: These motions were coupled. Resection of all ligaments did hardly influence the kinematical structure.

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Authors and Affiliations

Martin M. Wachowski
Anne Ackenhausen
Clemens Dumont
Jochen Fanghanel
Dietmar Kubein-Meesenburg
Hans Nagerl
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Abstract

The paper presents two alternative proposals for processing kinematic modular networks. The first method employs the idea of multi-group transformation which may be reduced to setting up a system of conditional equations with unknowns. The kinematic parameters (point motion velocities) are in this case determined after the observations are adjusted, together with point coordinates. The other proposal is based on the classic idea of the parametric method. The theoretical relationships for functional models of the network adjustment for each of the methods have been provided. The practical conditions have been presented for the application of the proposed models (methods) in constructing detailed computational algorithms. The modular network technology may be an appropriate method of geodetic determination of displacements, especially in difficult terrain conditions (slopes, trees, unfavourable exposition to satellite signals).
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Authors and Affiliations

Tadeusz Gargula
ORCID: ORCID
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Abstract

A method of solving the inverse kinematics problem for a humanoid robot modeled as a tree-shaped manipulator is presented. Robot trajectory consists of a set of trajectories of the characteristic points (the robot’s center of mass, origins of feet and hands frames) in the discrete time domain. The description of motion in the frame associated with the supporting foot allows one to represent the robot as a composite of several serial open-loop redundant manipulators. Stability during the motion is provided by the trajectory of the robot’s center of mass which ensures that the zero moment point criterion is fulfilled. Inverse kinematics solution is performed offline using the redundancy resolution at the velocity level. The proposed method utilizes robot’s redundancy to fulfill joint position limits and to reduce gravity-related joint torques. The method have been tested in simulations and experiments on a humanoid robot Melson, and results are presented.
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Bibliography

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Authors and Affiliations

Kacper Mikołajczyk
1
Maksymilian Szumowski
1
Łukasz Woliński
1
ORCID: ORCID

  1. Faculty of Power and Aeronautical Engineering, Warsaw University of Technology, Warsaw, Poland
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Abstract

This paper presents results of the study devoted to analysis of impact of upper extremities' momentum on the jump length and analysis of selected kinematic data changes during the standing long jump. Four young sportsmen participated in the initial study. They have performed standing long jump in two measuring conditions: with and without arms swinging. Motion was captured using a 3D opto-electronic camera system SMART (BTS) and selected kinematic data were evaluated using software packages and data processing: trajectory of body centre of gravity (COG), velocity of COG, maximal vertical distance of COG, take-off angle together with momentum of upper extremities were analyzed. The data were statistically evaluated using descriptive statistics and analysis of variance. Statistical significance of the kinematic data and jump length were analyzed using the Kruskal-Wallis test and post-hoc test (p<0.05) in Statistics toolbox of Matlab program. Statistically significant differences were assessed within intraindividual and intraclass comparison of data.

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Authors and Affiliations

Lenka Szerdiová
Dušan Simšik
Zlatica Dolná
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Abstract

The paper presents construction and control system of the climbing robot Safari designed at the Poznan University of Technology for inspection of high building walls, executed in order to evaluate their technical condition. Because such tasks are uncomfortable and very dangerous for humans, this mobile machine gives a possibility to observe and examine the state of the surface on which it is moving. The robot is a construction developed for walking on flat but uneven vertical and horizontal surfaces. Its on-board equipment provides ability to remotely examine and record images reflecting the robot’s surroundings. At the beginning of the paper, several concepts of existing climbing robots (four-legged, six-legged, sliding platform) are outlined. Next, the mechanical system of the Safari robot is presented with special emphasis on its kinematic equations and description of movement stages. Then, the on-board manipulator as well as the sensor and control systems are described.

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Authors and Affiliations

P. Dutkiewicz
K. Kozłowski
W. Wróblewski
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Abstract

Simulation studies of the hobbing process kinematics can effectively improve the accuracy of the machined gears. The parameters of the cut-off layers constitute the basis for predicting the cutting forces and the workpiece stress-strain state. Usually applied methods for simulation of the hobbing process are based on simplified cutting schemes. Therefore, there are significant differences between the simulated parameters and the real ones. A new method of hobbing process modeling is described in the article. The proposed method is more appropriate, since the algorithm for the momentary transition surfaces formation and computer simulation of the 3D chip cutting sections are based on the results of hobbing cutting processes kinematics and on rheological analysis of the hob cutting process formation. The hobbing process is nonstationary due to the changes in the intensity of plastic strain of the material. The total cutting force is represented as a function of two time-variable parameters, such as the chip’s 3D parameters and the chip thickness ratio depending on the parameters of the machined layer.

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Bibliography

[1] V. Dimitriou and A. Antoniadis. CAD-based simulation of the hobbing process for the manufacturing of spur and helical gears. The International Journal of Advanced Manufacturing Technology, 41(3-4):347–357, 2009. doi: 10.1007/s00170-008-1465-x.
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Authors and Affiliations

Ihor Hrytsay
1
Vadym Stupnytskyy
1
Vladyslav Topchii
1

  1. Department of Mechanical Engineering Technologies, Institute of Engineering Mechanics and Transport, Lviv Polytechnic National University, Lviv, Ukraine.
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Abstract

In this paper, neural networks are presented to solve the inverse kinematic models of continuum robots. Firstly, the forward kinematic models are calculated for variable curvature continuum robots. Then, the forward kinematic models are implemented in the neural networks which present the position of the continuum robot’s end effector. After that, the inverse kinematic models are solved through neural networks without setting up any constraints. In the same context, to validate the utility of the developed neural networks, various types of trajectories are proposed to be followed by continuum robots. It is found that the developed neural networks are powerful tool to deal with the high complexity of the non-linear equations, in particular when it comes to solving the inverse kinematics model of variable curvature continuum robots. To have a closer look at the efficiency of the developed neural network models during the follow up of the proposed trajectories, 3D simulation examples through Matlab have been carried out with different configurations. It is noteworthy to say that the developed models are a needed tool for real time application since it does not depend on the complexity of the continuum robots' inverse kinematic models.
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Authors and Affiliations

Abdelhamid Ghoul
1
Kamel Kara
1
Selman Djeffal
2
Mohamed Benrabah
3
Mohamed Laid Hadjili
4

  1. Université of Blida 1, Laboratoire des systèmes électriques et télécommande, Faculty of Technology, Blida, Algeria
  2. University of Larbi Ben M’hidi, Faculty of Science and Applied Sciences, Oum El Bouaghi, Algeria
  3. University of Sciences and Technology Houari Boumediene, Laboratoire des systèmes électriques et télécommande, Faculty of Electrical Engineering, Algiers, Algeria
  4. Haute Ecole Bruxelles, Ecole Supérieure d’Informatique, Brussels, Belgium
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Abstract

The aim of the article is to reproduce and compare the peculiarities of the ethnocultural image of a vain person, as verbalized in Ukrainian and Polish phraseology. The subject of analysis is the structural‐semantic and functional peculiarities of Ukrainian and Polish phraseological units, in which vanity is conceptualized as an emotional state of superiority, arrogance, pride, and which have a pronounced negative connotation. The study found that in the common Ukrainian‐Polish perception, a vain person is a person who considers himself/herself superior to others, and, accordingly, others negatively evaluate this position. Most often, vanity in Polish and Ukrainian phraseology is conceptualized through the image of a person with their head raised high, puffed up, with protruding lips, whose appearance and habits resemble the behaviour of a beautiful pompous bird: a peacock or a rooster (in Ukrainian and Polish ethnoculture), a crane or a turkey (only in Polish), goldeneye or a screech‐owl (only in Ukrainian). Also common is the idea of a vain person who thinks he/she is the smartest, while others think that something is wrong with him/her. Comparing the analyzed phraseological units in the selected languages allows us to better understand the peculiarities of the image, which became the impetus for the creation of the phraseological nomination, to establish the regularities and mechanisms of the verbal explication of vanity in Ukrainian and Polish linguistic cultures.
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Authors and Affiliations

Оксана Лозинська
1
ORCID: ORCID

  1. Львів, Львівський національний університет імені Івана Франка
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Abstract

This study presents a description of the mechanics of forming dough pieces into cylindrical (cylinder-like) shapes. Based on the configuration of forming, the movement of the formed piece and its surface deformations were described. Kinematic relationships concerning the dough piece material as a rheological fluid were formulated. Next, the relationships coupling the kinematic quantities present with both descriptions were determined. The components of the deformation rate tensor, presented in the assumed forming configuration (cylindrical coordinate system), describe the velocity distribution on the surface of dough piece being formed and deformed. The determined kinematic quantities and their interrelations may be used to describe the process of forming dough pieces into cylindrical shapes.

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Authors and Affiliations

Feliks Chwarścianek
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Abstract

Robotic total stations are a group of surveying instruments that can be used to measure moving prisms. These devices can generate significant errors during kinematic surveys. This is due to the different speeds of the total station’s measurement subsystems, which results in the observations of the point location being performed in different places of the space. Total stations which are several years old may generate errors of up to a few dozen centimeters. More modern designs, with much lower delays of the mechanical and electronic subsystems, theoretically allow to significantly reduce the values of the errors. This study involved the performance of kinematic tests on the modern robotic total station Leica MS50 in order to determine the values of measurement errors, and also to define the possibility of using them for the above-mentioned applications.

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Authors and Affiliations

G. Lenda
A. Uznański
M. Strach
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Abstract

This study presents a forming configuration being an original three-dimensional geometrical model of forming dough pieces into spherical forms. Based on the forming configuration, the description of motion for a formed dough piece was made according to the principles of motion of a rigid body. Kinematic relationships concerning the dough piece material as a rheological fluid were formulated in accordance with the laws of fluid mechanics. Next, the relationships between the kinematic quantities present in both descriptions were defined. Presented in the assumed forming configuration (spherical coordinate system), the components of the deformation velocity tensor describe the velocity distribution over the surface of the formed and deformed dough piece. Determined kinematic quantities, as well as the relationships defined between them, describe the kinematics of forming dough pieces, and can be used to provide a dynamic description of the process of fanning dough pieces into spherical forms.
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Authors and Affiliations

Feliks Chwarścianek

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