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.

The ensemble statistics of the band-averaged energy of a random system

This paper is concerned with the response statistics of a dynamic system that has random properties. The frequency-band-averaged energy of the system is considered, and a closed form expression is derived for the relative variance of this quantity. The expression depends upon three parameters: the modal overlap factor m, a bandwidth parameter B, and a parameter α that defines the nature of the loading (for example single point forcing or rain-on-the-roof loading). The result is applicable to any single structural component or acoustic volume, and a comparison is made here with simulation results for a mass loaded plate. Good agreement is found between the simulations and the theory. © 2003 Published by Elsevier Ltd.

Efficient line launch for bandwidth improvement of 10 Gbit/s multimode fibre links using elliptical Gaussian beam

A novel elliptical Gaussian beam line launch is shown to allow improved system capacity for high speed multimode fibre links. This launch maintains higher bandwidth than dual launch even with misalignment of ±6 μm despite not requiring testing at installation. ©2010 IEEE.

On the design of the piecewise linear vibration absorber

This paper explores the potential of the piecewise linear vibration absorber in a system subject to narrow band harmonic loading. Such a spring is chosen because the design of linear springs is common knowledge among engineers. The two-degrees-of-freedom system is solved by using the Incremental Harmonic Balance method, and response aspects such as stiffness crossing frequency and jump behaviour are discussed. The effects of mass, stiffness, natural frequency ratios, and stiffness crossing positions on the suppression zone are probed. It is shown that a hardening absorber can deliver a wider bandwidth than a linear one over a range of frequencies. The absorber parameters needed to produce good designs have been determined and the quality of the realized suppression zone is discussed. Design guidelines are formulated to aid the parameter selection process.

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.