Numerical methods and their application in dynamics of structures

Introduction/purpose: The aim of this paper is to analyse the numerical methods for solving differential equations of dynamic equilibrium in technical problems. Methods: The paper gives an overview of the following numerical methods: the method of central difference, the method of linear acceler...

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Main Author: Rade R. Vasiljević
Format: Article
Language:English
Published: University of Defence in Belgrade 2023-04-01
Series:Vojnotehnički Glasnik
Subjects:
Online Access:https://scindeks.ceon.rs/article.aspx?artid=0042-84692302452V
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author Rade R. Vasiljević
author_facet Rade R. Vasiljević
author_sort Rade R. Vasiljević
collection DOAJ
description Introduction/purpose: The aim of this paper is to analyse the numerical methods for solving differential equations of dynamic equilibrium in technical problems. Methods: The paper gives an overview of the following numerical methods: the method of central difference, the method of linear acceleration, the Newmark method, and the Wilson θ method. Results: Various problems in applying numerical methods in dynamics of structures have been solved. Conclusion: It has been shown that the application of numerical methods has a fundamental importance in dynamics of structures.
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spelling doaj.art-8e4585e83da44cd084a991e457ce03ce2023-04-01T11:59:16ZengUniversity of Defence in BelgradeVojnotehnički Glasnik0042-84692217-47532023-04-0171245247210.5937/vojtehg71-42781Numerical methods and their application in dynamics of structuresRade R. Vasiljević 0https://orcid.org/0000-0003-0458-8545Faculty of Technical Academic Studies, Belgrade, Republic of SerbiaIntroduction/purpose: The aim of this paper is to analyse the numerical methods for solving differential equations of dynamic equilibrium in technical problems. Methods: The paper gives an overview of the following numerical methods: the method of central difference, the method of linear acceleration, the Newmark method, and the Wilson θ method. Results: Various problems in applying numerical methods in dynamics of structures have been solved. Conclusion: It has been shown that the application of numerical methods has a fundamental importance in dynamics of structures. https://scindeks.ceon.rs/article.aspx?artid=0042-84692302452Vnumerical methodsmethod of central differencemethod of linear accelerationnewmark methodwilson θ method
spellingShingle Rade R. Vasiljević
Numerical methods and their application in dynamics of structures
Vojnotehnički Glasnik
numerical methods
method of central difference
method of linear acceleration
newmark method
wilson θ method
title Numerical methods and their application in dynamics of structures
title_full Numerical methods and their application in dynamics of structures
title_fullStr Numerical methods and their application in dynamics of structures
title_full_unstemmed Numerical methods and their application in dynamics of structures
title_short Numerical methods and their application in dynamics of structures
title_sort numerical methods and their application in dynamics of structures
topic numerical methods
method of central difference
method of linear acceleration
newmark method
wilson θ method
url https://scindeks.ceon.rs/article.aspx?artid=0042-84692302452V
work_keys_str_mv AT radervasiljevic numericalmethodsandtheirapplicationindynamicsofstructures