Proposal Mathematical Model for Calculation of Modal and
Spectral Properties

D 2017

Proposal Mathematical Model for Calculation of Modal and Spectral Properties

HRUBÝ, Petr, Tomáš NÁHLÍK and Dana SMETANOVÁ

Basic information

Original name

Proposal Mathematical Model for Calculation of Modal and Spectral Properties

Name in Czech

Návrh matematického modelu pro výpočet modálních a spektrálních vlastností

Authors

HRUBÝ, Petr (203 Czech Republic, guarantor, belonging to the institution), Tomáš NÁHLÍK (203 Czech Republic, belonging to the institution) and Dana SMETANOVÁ (203 Czech Republic, belonging to the institution)

Edition

Mathematics, Information Tec. ČR, Mathematics, Information Technologies and Applied Sciences 2017, p. 131-140, 10 pp. 2017

Publisher

University of Defence, Brno

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

20300 2.3 Mechanical engineering

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

electronic version available online

References:

URL

RIV identification code

RIV/75081431:_____/17:00001859

Organization unit

Institute of Technology and Business in České Budějovice

ISBN

978-80-7582-026-6

UT WoS

000576896800014

Keywords (in Czech)

točivé a laterální vibrace; jednorozměrné lineární kontinuum; metoda konečných prvků; vlastní hodnoty a vlastní vektory

Keywords in English

rotating and lateral vibrations; one-dimensional linear continuum; Finite Element Method; eigenvalues and eigenvectors

Abstract

ORIG CZ

V originále

The paper presents a mathematical model of combined bending-vibration vibration. The paper is devoted to finite elements for a one-dimensional linear continuum in the state of combined bending and vibrational vibrations. The application of the finite element method is proposed and the method for calculating the eigenvalues and vectors of the stepped shaft in the state of combined bending-vibration vibration is tuned. A comparison of analytical and numerical methods is discussed.

In Czech

V příspěvku je prezentován matematický model kombinované ohybové-vibrační vibrace. Příspěvek je věnován konečným prvkům pro jednorozměrné lineární kontinuum ve stavu kombinovaných ohybových a vibračních vibrací. Je navržena aplikace metody konečných prvků a vyladěna metoda pro výpočet vlastních hodnot a vektorů stupňovitého hřídele ve stavu kombinované ohybové-vibrační vibrace. Je diskutováno srovnání analytických a numerických metod.

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Citovat

HRUBÝ, Petr, Tomáš NÁHLÍK and Dana SMETANOVÁ. Proposal Mathematical Model for Calculation of Modal and Spectral Properties. Online. In Jaromír Baštinec and Miroslav Hrubý. Mathematics, Information Technologies and Applied Sciences 2017. Mathematics, Information Tec. ČR: University of Defence, Brno, 2017, p. 131-140. ISBN 978-80-7582-026-6.

@inproceedings{55594,
   author = {Hrubý, Petr and Náhlík, Tomáš and Smetanová, Dana},
   address = {ČR},
   booktitle = {Mathematics, Information Technologies and Applied Sciences 2017},
   edition = {Mathematics, Information Tec},
   editor = {Jaromír Baštinec and Miroslav Hrubý},
   keywords = {rotating and lateral vibrations; one-dimensional linear continuum; Finite Element Method; eigenvalues and eigenvectors},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {ČR},
   isbn = {978-80-7582-026-6},
   pages = {131-140},
   publisher = {University of Defence, Brno},
   title = {Proposal Mathematical Model for Calculation of Modal and Spectral Properties},
   url = {https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=24&SID=D4APZzmak3s6mYxbR3d&page=1&doc=1},
   year = {2017}
}

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ID  - 55594
AU  - Hrubý, Petr - Náhlík, Tomáš - Smetanová, Dana
PY  - 2017
TI  - Proposal Mathematical Model for Calculation of Modal and Spectral Properties
PB  - University of Defence, Brno
CY  - ČR
SN  - 9788075820266
KW  - rotating and lateral vibrations
KW  - one-dimensional linear continuum
KW  - Finite Element Method
KW  - eigenvalues and eigenvectors
UR  - https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=24&SID=D4APZzmak3s6mYxbR3d&page=1&doc=1
L2  - https://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=24&SID=D4APZzmak3s6mYxbR3d&page=1&doc=1
N2  - The paper presents a mathematical model of combined bending-vibration vibration. The paper is devoted to finite elements for a one-dimensional linear continuum in the state of combined bending and vibrational vibrations. The application of the finite element method is proposed and the method for calculating the eigenvalues and vectors of the stepped shaft in the state of combined bending-vibration vibration is tuned. A comparison of analytical and numerical methods is discussed.
ER  -

HRUBÝ, Petr, Tomáš NÁHLÍK and Dana SMETANOVÁ. Proposal Mathematical Model for Calculation of Modal and Spectral Properties. Online. In Jaromír Baštinec and Miroslav Hrubý. \textit{Mathematics, Information Technologies and Applied Sciences 2017}. Mathematics, Information Tec. ČR: University of Defence, Brno, 2017, p.~131-140. ISBN~978-80-7582-026-6.

Detailed Information on Publication Record