Time-Frequency Analysis of Nonlinear Systems: The Skeleton Linear Model and the Skeleton Curves

The joint time-frequency analysis method is adopted to study the nonlinear behavior varying with the instantaneous response for a class of S.D.O.F nonlinear system. A time-frequency masking operator, together with the conception of effective time-frequency region of the asymptotic signal are defined here. Based on these mathematical foundations, a so-called skeleton linear model (SLM) is constructed which has similar nonlinear characteristics with the nonlinear system. Two skeleton curves are deduced which can indicate the stiffness and damping in the nonlinear system. The relationship between the SLM and the nonlinear system, both parameters and solutions, is clarified. Based on this work a new identification technique of nonlinear systems using the nonstationary vibration data will be proposed through time-frequency filtering technique and wavelet transform in the following paper.

Analysis of the ellipsometric spectra of amorphous carbon thin films for evaluation of the sp3-bonded carbon content

Using spcctroscopic ellipsometry (SE), we have measured the optical properties and optical gaps of a series of amorphous carbon (a-C) films ∼ 100-300 Å thick, prepared using a filtered beam of C+ ions from a cathodic arc. Such films exhibit a wide range of sp3-bonded carbon contents from 20 to 76 at.%, as measured by electron energy loss spectroscopy (EELS). The Taue optical gaps of the a-C films increase monotonically from 0.65 eV for 20 at.% sp3 C to 2.25 eV for 76 at.% sp3 C. Spectra in the ellipsometric angles (1.5-5 eV) have been analyzed using different effective medium theories (EMTs) applying a simplified optical model for the dielectric function of a-C, assuming a composite material with sp2 C and sp3 C components. The most widely used EMT, namely that of Bruggeman (with three-dimensionally isotropic screening), yields atomic fractions of sp3 C that correlate monotonically with those obtained from EELS. The results of the SE analysis, however, range from 10 to 25 at.% higher than those from EELS. In fact, we have found that the volume percent sp3 C from SE using the Bruggeman EMT shows good numerical agreement with the atomic percent sp3 C from EELS. The SE-EELS discrepancy has been reduced by using an optical model in which the dielectric function of the a-C is determined as a volume-fraction-weighted average of the dielectric functions of the sp2 C and sp3 C components. © 1998 Elsevier Science S.A.

Frequency of insecticide spray application for control of fall armyworm (Lepidóptera: Noctuidae) on sorghum

Existe desconocimiento del efecto de frecuencias de aplicación de los insecticidas sobre el comportamiento de las poblaciones del gu· sano cogollero ( Spodoptera frugipercta) y la repercusión de estas en los rendimientos del sorgo granifero (Sorghum bicolor l. Moench). El estudio se realizó en la Estación Experimental dos del Centro Nacional de Tecnología Agropecuaria y Forestal (CENTA), ubicado en San Andrés, departamento de La Libertad, El Salvador, durante los meses de septiembre del año 2001 y enero de 2002. El objetivo de la investigación fue determinar el efecto del numero de aplicaciones de clorpirifos sobre las poblaciones de larvas de gusano cogollero en el cultivo del sorgo. Para este ensayo se estableció un diseño de bloques al azar con cinco tratamientos y cuatro repeticiones. Se realizaron aplicaciones de Chlorpyrifos en el cultivo del sorgo, en dosis de 1.4 1 ha·1, en 285 1 de agua durante cuatro fechas (4 estados de desarrollo de la planta), específicamente a los 15, 25, 35 y 45 días después de la siembra. Las parcelas contratamientos recibieron 1 , 2, 3 y 4 aplicaciones de insecticidas y fueron comparadas con una parcela sin aplicación. Cada tratamiento insecticida inicialmente tuvo reducciones significativas en las poblaciones de cogollero, comparados con la parcela sin aplicación. Tratamientos con cada aplicación adicional tuvo reducciones significativas en las poblaciones de larvas vivas, comparados con tratamientos que tuvieron menor numero de aplicaciones. El cogollero, tuvo reinfestaciones, en las parcelas que recibieron ya sea una, dos o tres aplicaciones de insecticidas, durante el periodo de observación después de cada uno de los tres tratamientos. Estos resultados muestran las reinfecciones de las poblaciones de cogollero después de las aplicaciones de insecticidas, y la carencia de efecto residual de los mismos. A pesar de que no se determinaron diferencias significativas en el rendimiento de grano, las diferencias numéricas oscilaron desde 555 a 1 674 kg ha·1 mas allá del rendimiento observado en el tratamiento sin aplicación, lo cual sugiere que el manejo efectivo del daño ocasionado por el cogollero en el cultivo de sorgo, puede resultar en mejora de los rendimientos.

Wave propagation and the frequency domain Green's functions in viscoelastic Biot/squirt (BISQ) media

In this paper, we examine the characteristics of elastic wave propagation in viscoelastic porous media, which contain simultaneously both the Biot-flow and the squirt-flow mechanisms (BISQ). The frequency-domain Green's functions for viscoelastic BISQ media are then derived based on the classic potential function methods. Our numerical results show that S-waves are only affected by viscoelasticity, but not by squirt-flows. However, the phase velocity and attenuation of fast P-waves are seriously influenced by both viscoelasticity and squirt-flows; and there exist two peaks in the attenuation-frequency variations of fast P-waves. In the low-frequency range, the squirt-flow characteristic length, not viscoelasticity, affects the phase velocity of slow P-waves, whereas it is opposite in the high-frequency range. As to the contribution of potential functions of two types of compressional waves to the Green's function, the squirt-flow length has a small effect, and the effects of viscoelastic parameter are mainly in the higher frequency range. Crown Copyright (C) 2006 Published by Elsevier Ltd. All rights reserved.