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Slobodne vibracije rotaciono-simetričnih sistema primenom metode dinamičke krutosti

Free vibration study of axisymmetric assemblies using dynamic stiffness method

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Authors
Kolarević, Nevenka
Nefovska-Danilović, Marija
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Abstract
U ovom radu primenjena je metoda dinamičke krutosti za analizu slobodnih vibracija sistema koji se sastoji od kružne cilindrične ljuske i kružnih i/ili prstenastih ploča. Pri formulaciji dinamičkih matrica krutosti korišćena je Flügge-ove teorija ljuski, kao i Kirchoff-ova teorija tankih ploča. Na osnovu razvijenog programa u Matlab okruženju, urađeno je nekoliko numeričkih primera. Rezultati za sopstvene frekvencije dobijeni primenom metode dinamičke krutosti upoređeni su sa rezultatima dobijenim pomoću komercijalnog programa Abaqus zasnovanog na metodi konačnih elemenata.
In this paper, the dynamic stiffness method is used for the free vibration analysis of assemblies built up of circular cylindrical shells and circular and/or annular plates. Flügge's shell theory as well as Kirchoff's theory of thin plates were used in the formulation of dynamic stiffness matrices. Based on the Matlab code, developed for this particular purpose, several numerical examples were presented. The results for natural frequencies obtained using the dynamic stiffness method are compared with the results obtained using the commercial finite element method - based software Abaqus.
Keywords:
metoda dinamičke krutosti / kružne cilindrične ljuske / kružne ploče / dynamic stiffness method / circular cylindrical shells / circular plates
Source:
16th Congress hosted by Association of Structural Engineers of Serbia, 2022, 2022
Publisher:
  • Univerzitet u Beogradu Građevinski fakultet Beograd
  • Društvo građevinskih konstruktera Srbije

ISBN: 978-86-7518-227-6 (GF)

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Handle
https://hdl.handle.net/21.15107/rcub_grafar_2768
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2768
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  • Radovi istraživača / Researcher's publications
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - CONF
AU  - Kolarević, Nevenka
AU  - Nefovska-Danilović, Marija
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2768
AB  - U ovom radu primenjena je metoda dinamičke krutosti za analizu slobodnih vibracija sistema koji se sastoji od kružne cilindrične ljuske i kružnih i/ili prstenastih ploča. Pri formulaciji dinamičkih matrica krutosti korišćena je Flügge-ove teorija ljuski, kao i Kirchoff-ova teorija tankih ploča. Na osnovu razvijenog programa u Matlab okruženju, urađeno je nekoliko numeričkih primera. Rezultati za sopstvene frekvencije dobijeni primenom metode dinamičke krutosti upoređeni su sa rezultatima dobijenim pomoću komercijalnog programa Abaqus zasnovanog na metodi konačnih elemenata.
AB  - In this paper, the dynamic stiffness method is used for the free vibration analysis of assemblies built up of circular cylindrical shells and circular and/or annular plates. Flügge's shell theory as well as Kirchoff's theory of thin plates were used in the formulation of dynamic stiffness matrices. Based on the Matlab code, developed for this particular purpose, several numerical examples were presented. The results for natural frequencies obtained using the dynamic stiffness method are compared with the results obtained using the commercial finite element method - based software Abaqus.
PB  - Univerzitet u Beogradu Građevinski fakultet Beograd
PB  - Društvo građevinskih konstruktera Srbije
C3  - 16th Congress hosted by Association of Structural Engineers of Serbia, 2022
T1  - Slobodne vibracije rotaciono-simetričnih sistema primenom metode dinamičke krutosti
T1  - Free vibration study of axisymmetric assemblies using dynamic stiffness method
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2768
ER  - 
@conference{
author = "Kolarević, Nevenka and Nefovska-Danilović, Marija",
year = "2022",
abstract = "U ovom radu primenjena je metoda dinamičke krutosti za analizu slobodnih vibracija sistema koji se sastoji od kružne cilindrične ljuske i kružnih i/ili prstenastih ploča. Pri formulaciji dinamičkih matrica krutosti korišćena je Flügge-ove teorija ljuski, kao i Kirchoff-ova teorija tankih ploča. Na osnovu razvijenog programa u Matlab okruženju, urađeno je nekoliko numeričkih primera. Rezultati za sopstvene frekvencije dobijeni primenom metode dinamičke krutosti upoređeni su sa rezultatima dobijenim pomoću komercijalnog programa Abaqus zasnovanog na metodi konačnih elemenata., In this paper, the dynamic stiffness method is used for the free vibration analysis of assemblies built up of circular cylindrical shells and circular and/or annular plates. Flügge's shell theory as well as Kirchoff's theory of thin plates were used in the formulation of dynamic stiffness matrices. Based on the Matlab code, developed for this particular purpose, several numerical examples were presented. The results for natural frequencies obtained using the dynamic stiffness method are compared with the results obtained using the commercial finite element method - based software Abaqus.",
publisher = "Univerzitet u Beogradu Građevinski fakultet Beograd, Društvo građevinskih konstruktera Srbije",
journal = "16th Congress hosted by Association of Structural Engineers of Serbia, 2022",
title = "Slobodne vibracije rotaciono-simetričnih sistema primenom metode dinamičke krutosti, Free vibration study of axisymmetric assemblies using dynamic stiffness method",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2768"
}
Kolarević, N.,& Nefovska-Danilović, M.. (2022). Slobodne vibracije rotaciono-simetričnih sistema primenom metode dinamičke krutosti. in 16th Congress hosted by Association of Structural Engineers of Serbia, 2022
Univerzitet u Beogradu Građevinski fakultet Beograd..
https://hdl.handle.net/21.15107/rcub_grafar_2768
Kolarević N, Nefovska-Danilović M. Slobodne vibracije rotaciono-simetričnih sistema primenom metode dinamičke krutosti. in 16th Congress hosted by Association of Structural Engineers of Serbia, 2022. 2022;.
https://hdl.handle.net/21.15107/rcub_grafar_2768 .
Kolarević, Nevenka, Nefovska-Danilović, Marija, "Slobodne vibracije rotaciono-simetričnih sistema primenom metode dinamičke krutosti" in 16th Congress hosted by Association of Structural Engineers of Serbia, 2022 (2022),
https://hdl.handle.net/21.15107/rcub_grafar_2768 .

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