Physical and mathematical models of shafts in drives with
Hook´s joints

D 2016

Physical and mathematical models of shafts in drives with Hook´s joints

HRUBÝ, Petr, Zdeněk HLAVÁČ and Pavla ŽIDKOVÁ

Basic information

Original name

Physical and mathematical models of shafts in drives with Hook´s joints

Name in Czech

Fyzikální a matematické modely hřídelí v pohonech s Hookeovými klouby

Authors

HRUBÝ, Petr, Zdeněk HLAVÁČ and Pavla ŽIDKOVÁ

Edition

London, Proceedings of the 5th biannual CER Comparative European Research Conference : International scientific conference for Ph.D. students of EU countries, p. 136-140, 5 pp. 2016

Publisher

Sciemcee Publishing

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10307 Acoustics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

Organization unit

Institute of Technology and Business in České Budějovice

ISBN

978-0-9928772-9-3

Keywords (in Czech)

fyzikální; matematický; model; hřídel; kmitání

Keywords in English

physical; mathematical; model; shaft; vibration

Abstract

ORIG CZ

V originále

The torque of drive vehicles is transmitted at relatively large distances. When dimensioning to the torsion under static and cyclic load, shafts are in many cases long, slender, and are susceptible to bending vibrations. The shafts must be checked not only to torsion, but also to bending in terms of shaft´s modal and spectral properties. The paper formulated a mathematical model of an one-dimensional linear continuum in a state of bending-gyratory vibration. It is performed an analytical solution of natural frequencies relative lateral vibration and it is analyzed the influence of a rotating shaft to spectrum of natural frequencies section of the continuum, that form the basis of shaft´s physical model when calculating its natural and forced vibration.

In Czech

V pohonech vozidel je krouticí moment přenášen na poměrně velké vzdálenosti. Při dimenzování na krut při statickém i cyklickém zatěžování vycházejí v řadě případů spojovací hřídele dlouhé, štíhlé a jsou náchylné ke vzniku ohybového kmitání. Hřídele je tedy zapotřebí kontrolovat nejenom na krut, ale rovněž na ohyb z hlediska modálních a spektrálních vlastností hřídele. V příspěvku je formulován matematický model jednorozměrného lineárního kontinua ve stavu kombinovaného ohybově-krouživého kmitání. Je provedeno analytické řešení vlastních frekvencí relativního příčného kmitání a analyzován vliv unášivé rotace hřídele na spektrum vlastních frekvencí úseku kontinua, které tvoří základ fyzikálního modelu hřídele při výpočtu vlastního i vynuceného kmitání hřídele.

Citovat

HRUBÝ, Petr, Zdeněk HLAVÁČ and Pavla ŽIDKOVÁ. Physical and mathematical models of shafts in drives with Hook´s joints. In Michael McGreevy, Robert Rita. Proceedings of the 5th biannual CER Comparative European Research Conference : International scientific conference for Ph.D. students of EU countries. London: Sciemcee Publishing, 2016, p. 136-140. ISBN 978-0-9928772-9-3.

@inproceedings{32123,
   author = {Hrubý, Petr and Hlaváč, Zdeněk and Židková, Pavla},
   address = {London},
   booktitle = {Proceedings of the 5th biannual CER Comparative European Research Conference : International scientific conference for Ph.D. students of EU countries},
   editor = {Michael McGreevy, Robert Rita},
   keywords = {physical; mathematical; model; shaft; vibration},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {London},
   isbn = {978-0-9928772-9-3},
   pages = {136-140},
   publisher = {Sciemcee Publishing},
   title = {Physical and mathematical models of shafts in drives with Hook´s joints},
   year = {2016}
}

TY  - JOUR
ID  - 32123
AU  - Hrubý, Petr - Hlaváč, Zdeněk - Židková, Pavla
PY  - 2016
TI  - Physical and mathematical models of shafts in drives with Hook´s joints
PB  - Sciemcee Publishing
CY  - London
SN  - 9780992877293
KW  - physical
KW  - mathematical
KW  - model
KW  - shaft
KW  - vibration
N2  - The torque of drive vehicles is transmitted at relatively large distances. When dimensioning to the torsion under static and cyclic load, shafts are in many cases long, slender, and are susceptible to bending vibrations. The shafts must be checked not only to torsion, but also to bending in terms of shaft´s modal and spectral properties. The paper formulated a mathematical model of an one-dimensional linear continuum in a state of bending-gyratory vibration. It is performed an analytical solution of natural frequencies relative lateral vibration and it is analyzed the influence of a rotating shaft to spectrum of natural frequencies section of the continuum, that form the basis of shaft´s physical model when calculating its natural and forced vibration.
ER  -

HRUBÝ, Petr, Zdeněk HLAVÁČ and Pavla ŽIDKOVÁ. Physical and mathematical models of shafts in drives with Hook´s joints. In Michael McGreevy, Robert Rita. \textit{Proceedings of the 5th biannual CER Comparative European Research Conference : International scientific conference for Ph.D. students of EU countries}. London: Sciemcee Publishing, 2016, p.~136-140. ISBN~978-0-9928772-9-3.

Detailed Information on Publication Record