Dynamics of Complex and Irregular Systems

10.1142/2182 ◽  
1993 ◽  
Keyword(s):  
Irregular Systems

Irregular Systems of Temperament

1948 ◽  
Vol 1 (3) ◽  
pp. 20-26
Author(s):  
J. Murray Barbour
Keyword(s):  
Irregular Systems

Spectral Matching of Real Ground Motions: Applications to Horizontally Irregular Systems in Elastic Range

2014 ◽  
Vol 17 (11) ◽  
pp. 1623-1638 ◽  
Author(s):  
R. Roy ◽  
P. Thakur ◽  
S. Chakroborty
Keyword(s):  
Ground Motion ◽  
Hazard Analysis ◽  
Ground Motions ◽  
Near Field ◽  
Spectral Matching ◽  
Uniform Hazard Spectrum ◽  
Elastic Range ◽  
Conditional Mean Spectrum ◽  
Performance Based Seismic Design ◽  
Irregular Systems

In the context of performance-based seismic design (PBSD), ground motions are often scaled to certain convenient target spectra derived from probabilistic seismic hazard analysis (PSHA). While Uniform Hazard Spectrum (UHS) is more widely used, Conditional Mean Spectrum (CMS) is recently proposed to be more desirable for scaling of real accelerograms. In this backdrop, a set of near-field and far-field ground motions are spectrally scaled, using wavelets, to both UHS and CMS. Seismic demand of horizontally irregular structures under bi-directional ground motion is assessed under both scaled and seed records in the elastic range. Spectral matching, within limits, of both the horizontal components of real records to a single hazard spectrum is observed to adequately predict the amplification in response due to asymmetry (at least for the records and target spectra relevant to soil class D). Further, such scaling effectively reduces the variability in predicted magnification from one ground motion to other. Dynamic amplification factors recommended in international codes to apply in equivalent static design of asymmetric systems are shown to be deficient.

New simple properties of a few irregular systems

2005 ◽  
Vol 357 (1) ◽  
pp. 1-17 ◽  
Author(s):  
B. Sapoval ◽  
J.S. Andrade ◽  
A. Baldassarri ◽  
A. Desolneux ◽  
F. Devreux ◽  
...  
Keyword(s):  
Irregular Systems

Irregular Systems and Eclectic School

Indian Wisdom ◽  
2010 ◽  
pp. 127-154
Author(s):  
Monier Williams
Keyword(s):  
Irregular Systems

scholarly journals Quasi-homeomorphisms of Dirichlet forms

1994 ◽  
Vol 136 ◽  
pp. 1-15 ◽  
Author(s):  
Zhen-Qing Chen ◽  
Zhi-Ming Ma ◽  
Michael Röckner
Keyword(s):  
Dirichlet Form ◽  
Dirichlet Forms ◽  
European Symposium ◽  
Locally Compact ◽  
The Third ◽  
Gelfand Transform ◽  
General State Space ◽  
Irregular Systems ◽  
Separable Metric Space ◽  
Mathematics And Physics

Extending fundamental work of M. Fukushima, M. L. Silverstein, S. Carrillo Menendez, and Y. Le Jan (cf. [F71a, 80], [Si74], [Ca-Me75], [Le77]) it was recently discovered that there is a one-to-one correspondence between (equivalent classes of) all pairs of sectorial right processes and quasi-regular Dirichlet forms (see [AM91], [AM92], [AMR90], [AMR92a], [AMR92b], [MR92]). Based on the potential theory for quasi-regular Dirichlet forms, it was shown that any quasi-regular Dirichlet form on a general state space can be considered as a regular Dirichlet form on a locally compact separable metric space by “local compactification”. There are several ways to implement this local compactification. One relies on h-transformation which was mentioned in [AMR90, Remark 1.4]. A direct way using a modified Ray-Knight compactification was announced on the “5th French-German meeting: Bielefeld Encounters in Mathematics and Physics IX. Dynamics in Complex and Irregular Systems”, Bielefeld, December 16 to 21, 1991, and the “Third European Symposium on Analysis and Probability”, Paris, January 3-10, 1992, and appeared in [MR92, Chap. VI] and [AMR92b] (see also the proof of Theorem 3.7 below). One can also do this by Gelfand-transform. This way was found by the first named author independetly and announced in the “12th Seminar on Stochastic Processes”, Seattle, March 26-28, 1992. It will be discussed in Section 4.

Precursor shock waves at a slow—fast gas interface

1976 ◽  
Vol 76 (1) ◽  
pp. 157-176 ◽  
Author(s):  
A. M. Abd–El–Fattah ◽  
L. F. Henderson ◽  
A. Lozzi
Keyword(s):  
Experimental Data ◽  
Carbon Dioxide ◽  
Shock Wave ◽  
Shock Waves ◽  
Plane Shock ◽  
One Dimensional ◽  
Irregular Wave ◽  
Irregular Systems ◽  
Theory And Experiment ◽  
Good Agreement

This paper presents experimental data obtained for the refraction of a plane shock wave at a carbon dioxide–helium interface. The gases were separated initially by a delicate polymer membrane. Both regular and irregular wave systems were studied, and a feature of the latter system was the appearance of bound and free precursor shocks. Agreement between theory and experiment is good for regular systems, but for irregular ones it is sometimes necessary to take into account the effect of the membrane inertia to obtain good agreement. The basis for the analysis of irregular systems is one-dimensional piston theory and Snell's law.

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