NDLI: Extensions of nonlinear error propagation analysis for explicit pseudodynamic testing

Content Provider	Springer Nature Link
Author	Chang, Shuenn Yih
Copyright Year	2009
Abstract	Two important extensions of a technique to perform a nonlinear error propagation analysis for an explicit pseudodynamic algorithm (Chang, 2003) are presented. One extends the stability study from a given time step to a complete step-by-step integration procedure. It is analytically proven that ensuring stability conditions in each time step leads to a stable computation of the entire step-by-step integration procedure. The other extension shows that the nonlinear error propagation results, which are derived for a nonlinear single degree of freedom (SDOF) system, can be applied to a nonlinear multiple degree of freedom (MDOF) system. This application is dependent upon the determination of the natural frequencies of the system in each time step, since all the numerical properties and error propagation properties in the time step are closely related to these frequencies. The results are derived from the step degree of nonlinearity. An instantaneous degree of nonlinearity is introduced to replace the step degree of nonlinearity and is shown to be easier to use in practice. The extensions can be also applied to the results derived from a SDOF system based on the instantaneous degree of nonlinearity, and hence a time step might be appropriately chosen to perform a pseudodynamic test prior to testing.
Starting Page	77
Ending Page	86
Page Count	10
File Format	PDF
ISSN	16713664
Journal	Earthquake Engineering and Engineering Vibration
Volume Number	8
Issue Number	1
e-ISSN	1993503X
Language	English
Publisher	Institute of Engineering Mechanics, China Earthquake Administration
Publisher Date	2009-03-24
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	nonlinear error propagation explicit pseudodynamic algorithm stability condition step-by-step integration procedure step degree of nonlinearity Vibration, Dynamical Systems, Control Civil Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Building and Construction Geophysics Mechanical Engineering Geotechnical Engineering and Engineering Geology Civil and Structural Engineering

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