[article]
Titre : |
Explicit pseudodynamic algorithm with improved stability properties |
Type de document : |
texte imprimé |
Auteurs : |
Shuenn-Yih Chang, Auteur |
Article en page(s) : |
pp. 599-612 |
Note générale : |
Mécanique appliquée |
Langues : |
Anglais (eng) |
Mots-clés : |
Pseudodynamic method Stability Accuracy Errors Algorithms. |
Résumé : |
An explicit pseudodynamic algorithm with an improved stability property is proposed herein. This algorithm is shown to be unconditionally stable for any linear elastic systems and any instantaneous stiffness softening systems. The most attracting stability property is that it can have unconditional stability for the instantaneous hardening systems with the instantaneous degree of nonlinearity less than or equal to 2. This property has never been found among the currently available explicit algorithms. Hence, it may be applied to perform a general pseudodynamic test without considering the stability problem since it is rare for a civil engineering structure whose instantaneous degree of nonlinearity is greater than 2. This explicit algorithm can be implemented as a common explicit pseudodynamic algorithm, such as the use of the Newmark explicit method, since it does not involve any iteration procedure. In addition, it possesses comparable accuracy as that of a general second-order accurate integration method such as the Newmark explicit method. Both numerical and error propagation properties are analytically studied and numerical experiments are used to confirm these properties. Actual pseudodynamic tests attested to the feasibility of this proposed explicit pseudodynamic algorithm. |
DEWEY : |
620.1 |
ISSN : |
0733-9399 |
En ligne : |
http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=ASCERL&CURRENT=null [...] |
in Journal of engineering mechanics > Vol. 136 N° 5 (Mai 2010) . - pp. 599-612
[article] Explicit pseudodynamic algorithm with improved stability properties [texte imprimé] / Shuenn-Yih Chang, Auteur . - pp. 599-612. Mécanique appliquée Langues : Anglais ( eng) in Journal of engineering mechanics > Vol. 136 N° 5 (Mai 2010) . - pp. 599-612
Mots-clés : |
Pseudodynamic method Stability Accuracy Errors Algorithms. |
Résumé : |
An explicit pseudodynamic algorithm with an improved stability property is proposed herein. This algorithm is shown to be unconditionally stable for any linear elastic systems and any instantaneous stiffness softening systems. The most attracting stability property is that it can have unconditional stability for the instantaneous hardening systems with the instantaneous degree of nonlinearity less than or equal to 2. This property has never been found among the currently available explicit algorithms. Hence, it may be applied to perform a general pseudodynamic test without considering the stability problem since it is rare for a civil engineering structure whose instantaneous degree of nonlinearity is greater than 2. This explicit algorithm can be implemented as a common explicit pseudodynamic algorithm, such as the use of the Newmark explicit method, since it does not involve any iteration procedure. In addition, it possesses comparable accuracy as that of a general second-order accurate integration method such as the Newmark explicit method. Both numerical and error propagation properties are analytically studied and numerical experiments are used to confirm these properties. Actual pseudodynamic tests attested to the feasibility of this proposed explicit pseudodynamic algorithm. |
DEWEY : |
620.1 |
ISSN : |
0733-9399 |
En ligne : |
http://ascelibrary.aip.org/vsearch/servlet/VerityServlet?KEY=ASCERL&CURRENT=null [...] |
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