First- and Second-Order PMD Statistical Properties of Constantly Spun Randomly Birefringent Fibers

Abstract A physically plausible second order random function has been selected to represent ground acceleration. Several member functions have been presented in graphical form. Some of the statistical properties of the response of a simple structure to this acceleration have been determined and possible uses of these properties by designers of aseismic structures have been commented upon. Lines for additional investigation of the uses of random function theory in the study of seismic disturbances also have been indicated.

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System identification in a networked environment using second order statistical properties

Automatica ◽

10.1016/j.automatica.2012.11.039 ◽

2013 ◽

Vol 49 (2) ◽

pp. 652-659 ◽

Cited By ~ 5

Author(s):

Yasir Irshad ◽

Magnus Mossberg ◽

Torsten Söderström

Keyword(s):

System Identification ◽

Second Order ◽

Statistical Properties

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Second-Order Theory and Setup in Surface Gravity Waves: A Comparison with Experimental Data

Journal of Physical Oceanography ◽

10.1175/2007jpo3634.1 ◽

2007 ◽

Vol 37 (11) ◽

pp. 2726-2739 ◽

Cited By ~ 30

Author(s):

A. Toffoli ◽

J. Monbaliu ◽

M. Onorato ◽

A. R. Osborne ◽

A. V. Babanin ◽

...

Keyword(s):

Coupling Coefficient ◽

Field Data ◽

Order Theory ◽

Second Order ◽

Statistical Properties ◽

Experimental Result ◽

Significant Feature ◽

Order Model ◽

Lake George ◽

Second Order Model

Abstract The second-order, three-dimensional, finite-depth wave theory is here used to investigate the statistical properties of the surface elevation and wave crests of field data from Lake George, Australia. A direct comparison of experimental and numerical data shows that, as long as the nonlinearity is small, the second-order model describes the statistical properties of field data very accurately. By low-pass filtering the Lake George time series, there is evidence that some energetic wave groups are accompanied by a setup instead of a setdown. A numerical study of the coupling coefficient of the second-order model reveals that such an experimental result is consistent with the second-order theory, provided directional spreading is included in the wave spectrum. In particular, the coupling coefficient of the second-order difference contribution predicts a setup as a result of the interaction of two waves with the same frequency but with different directions. This result is also confirmed by numerical simulations. Bispectral analysis, furthermore, indicates that this setup is a statistically significant feature of the observed wave records.

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An Estimator for the Standard Deviation of a Natural Frequency—Part 1

Journal of Applied Mechanics ◽

10.1115/1.3422712 ◽

1972 ◽

Vol 39 (2) ◽

pp. 535-538 ◽

Cited By ~ 6

Author(s):

A. J. Schiff ◽

J. L. Bogdanoff

Keyword(s):

Monte Carlo ◽

Standard Deviation ◽

Natural Frequency ◽

Second Order ◽

Statistical Properties ◽

Asme Paper

An estimator for the standard deviation of a natural frequency in terms of second-order statistical properties of the parameters of the system is derived. Results for one simple example is presented in this part and are compared with theoretical and Monte Carlo results. Further results and discussion will be presented in Part 2, ASME Paper No. 71-WA/APM-8.

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