Digitale Bibliotheek
Sluiten Bladeren door artikelen uit een tijdschrift
 
<< vorige    volgende >>
     Tijdschrift beschrijving
       Alle jaargangen van het bijbehorende tijdschrift
         Alle afleveringen van het bijbehorende jaargang
           Alle artikelen van de bijbehorende aflevering
                                       Details van artikel 4 van 8 gevonden artikelen
 
 
  Numerical Characteristics of Explicit Method for Nonlinear Systems
 
 
Titel: Numerical Characteristics of Explicit Method for Nonlinear Systems
Auteur: Chang, Shuenn-Yih
Verschenen in: Journal of earthquake engineering
Paginering: Jaargang 11 (2007) nr. 5 pagina's 694-711
Jaar: 2007-09
Inhoud: Numerical properties of the Newmark explicit method in the solution of nonlinear systems are evaluated by introducing a parameter, which is named the instantaneous degree of nonlinearity, to monitor the variation of stiffness with time. Stability analysis reveals that the upper stability limit is inversely proportional to the square root of the instantaneous degree of nonlinearity and thus it is no longer equal to 2 for nonlinear systems. In fact, it is shrunk as instantaneous degree of nonlinearity is larger than 1 while it is enlarged as instantaneous degree of nonlinearity is less than 1. It is also proved that the satisfaction of stability limits for each time step implies a stable computation in the complete step-by-step integration procedure. Accuracy analysis shows that the relative period error is increased with the increase of the instantaneous degree of nonlinearity for a given product of the initial natural frequency and time step. Furthermore, a rough guideline is proposed for accurate integration of nonlinear systems and its appropriateness is confirmed with numerical examples.
Uitgever: Taylor & Francis
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details van artikel 4 van 8 gevonden artikelen
 
<< vorige    volgende >>
 
 Koninklijke Bibliotheek - Nationale Bibliotheek van Nederland
Toegankelijkheidsverklaring