Dynamics of a homogeneous ball on a horizontal plane with sliding, spinning, and rolling friction taken into account

2010 ◽  
Vol 45 (2) ◽  
pp. 155-165 ◽  
Author(s):  
M. V. Ishkhanyan ◽  
A. V. Karapetyan
2021 ◽  
pp. 1-28
Author(s):  
Yury Filippovich Golubev ◽  
Victor Vladimirovich Korianov

A method has been developed for overcoming obstacles in the form of a stack of rough cylinders of different radii by a six-legged robot. Two of the cylinders are lying on a horizontal plane and the third one is lying on the two mentioned above. The cylinders are under the influence of gravity, dry friction, and rolling friction. The equilibrium conditions of the system were found when the system is under the influence of a force due to the support of the robot on the system of cylinders. Using computer modeling tools, an algorithm for overcoming the stack that does not destroy the structure of the obstacle was developed. The results of numerical experiments and corresponding video materials are presented.


1995 ◽  
Vol 32 (1) ◽  
pp. 50-58
Author(s):  
Hirotaka TANAKA ◽  
Kenji HACHISUKA ◽  
Yoshinori IMAMURA ◽  
Hajime OGATA ◽  
Jinro INOUE

2020 ◽  
pp. 3-14
Author(s):  
O. M. Samoylenko ◽  
O. V. Adamenko ◽  
B. P. Kukareka

Reference method for simultaneous calibration of the three and more measurement standards for vertical angle measurement is developed. This method can to use for obtaining the systematic biases of the vertical angles measurements for each of the measuring standards relative of the horizontal plain was averaged from measurement results in time their calibration or comparison. For realization of the reference method was developed the autocollimationel electronic measurement standard for the automatization measurement of the vertical angles SeaLineZero_Standard™ (SLZ_S™). Summary standard deviation (k=1) of the vertical angle measurement relative the horizontal plane, from the results of their calibration by reference method, is not more 0,07ʺ…0,15ʺ. This result was obtained without the use the systematic biases, for each measurement standards, as measurements corrections (with opposite sign). The measuring standards, that were developed and researched, are necessary for obtaining the systematic biases of the vertical angle measurement for total stations and theodolites, that have the normed standard error 0,5ʺ and 1ʺ, when these instruments are calibrating.


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