Stationary random response of multidegree-of-freedom systems

An approximate approach is presented for determining the stationary random response of a general multidegree-of-freedom nonlinear system under stationary Gaussian excitation. This approach relies on defining an equivalent linear system for the nonlinear system. Two particular systems which possess exact solutions have been solved by this approach, and it is concluded that this approach can generate reasonable solutions even for systems with fairly large nonlinearities. The approximate approach has also been applied to two examples for which no exact or approximate solutions were previously available.

Also presented is a matrix algebra approach for determining the stationary random response of a general multidegree-of-freedom linear system. Its derivation involves only matrix algebra and some properties of the instantaneous correlation matricies of a stationary process. It is therefore very direct and straightforward. The application of this matrix algebra approach is in general simpler than that of commonly used approaches.

Measuring temporal fluctuation on femtosecond scale in a random medium

We report an observation of femtosecond optical fluctuations of transmitted light when a coherent femtosecond pulse propagates through a random medium. They are a result of random interference among scattered waves coming from different trajectories in the time domain. Temporal fluctuations are measured by using cross-correlated frequency optical gating. It is shown that a femtosecond pulse will be broadened and distorted in pulse shape while it is propagating in random medium. The real and imaginary components of transmitted electric field are also distorted severely. The average of the fluctuated transmission pulses yields a smooth profile, probability functions show good agreement with Gaussian distribution. (c) 2007 Elsevier B.V. All rights reserved.

The oculomotor system: (1) Vertical-horizontal interaction and signal recognition, (2) Time delays and power spectra

In the first section of this thesis, two-dimensional properties of the human eye movement control system were studied. The vertical - horizontal interaction was investigated by using a two-dimensional target motion consisting of a sinusoid in one of the directions vertical or horizontal, and low-pass filtered Gaussian random motion of variable bandwidth (and hence information content) in the orthogonal direction. It was found that the random motion reduced the efficiency of the sinusoidal tracking. However, the sinusoidal tracking was only slightly dependent on the bandwidth of the random motion. Thus the system should be thought of as consisting of two independent channels with a small amount of mutual cross-talk.

These target motions were then rotated to discover whether or not the system is capable of recognizing the two-component nature of the target motion. That is, the sinusoid was presented along an oblique line (neither vertical nor horizontal) with the random motion orthogonal to it. The system did not simply track the vertical and horizontal components of motion, but rotated its frame of reference so that its two tracking channels coincided with the directions of the two target motion components. This recognition occurred even when the two orthogonal motions were both random, but with different bandwidths.

In the second section, time delays, prediction and power spectra were examined. Time delays were calculated in response to various periodic signals, various bandwidths of narrow-band Gaussian random motions and sinusoids. It was demonstrated that prediction occurred only when the target motion was periodic, and only if the harmonic content was such that the signal was sufficiently narrow-band. It appears as if general periodic motions are split into predictive and non-predictive components.

For unpredictable motions, the relationship between the time delay and the average speed of the retinal image was linear. Based on this I proposed a model explaining the time delays for both random and periodic motions. My experiments did not prove that the system is sampled data, or that it is continuous. However, the model can be interpreted as representative of a sample data system whose sample interval is a function of the target motion.

It was shown that increasing the bandwidth of the low-pass filtered Gaussian random motion resulted in an increase of the eye movement bandwidth. Some properties of the eyeball-muscle dynamics and the extraocular muscle "active state tension" were derived.

Estresse e acidentes de trabalho: Estudo Pró-Saúde

Esta tese tem o objetivo geral de investigar a associação entre estresse e acidentes no trabalho em funcionários técnico-administrativos efetivos de uma universidade pública no Rio de Janeiro por meio de modelos multiníveis. Para alcançar tal objetivo, a tese foi distribuída em dois artigos. O primeiro artigo investiga a associação entre estresse e acidentes no trabalho considerando componentes hierárquicos da estrutura dos dados por meio de modelos multiníveis com funcionários no primeiro nível agrupados em setores de trabalho no segundo nível. O segundo artigo investiga o comportamento dos coeficientes fixos e aleatórios dos modelos multiníveis com classificação cruzada entre setores de trabalho e grupos ocupacionais em relação aos modelos multiníveis que consideram apenas componentes hierárquicos dos setores de trabalho, ignorando o ajuste dos grupos ocupacionais. O estresse psicossocial no trabalho foi abordado a partir das relações entre alta demanda psicológica e baixo controle do processo laboral, Estas dimensões foram captadas por meio da versão resumida da escala Karasek, que também contém informações sobre o apoio social no trabalho. Dimensões isoladas do estresse no trabalho (demanda e controle), razão entre demanda psicológica e controle do trabalho (Razão D/C) e o apoio social no trabalho foram mensurados no nível individual e nos setores de trabalho. De modo geral, os resultados destacam a demanda psicológica mensurada no nível individual como um importante fator associado à ocorrência de acidentes de trabalho. O apoio social no trabalho, mensurado no nível individual e no setor de trabalho, apresentou associação inversa à prevalência de acidentes de trabalho, sendo, no setor, acentuada entre as mulheres. Os resultados também mostram que os parâmetros fixos dos modelos com e sem classificação cruzada foram semelhantes e que, de modo geral, os erros padrões (EP) foram um pouco maiores nos modelos com classificação cruzada, apesar deste comportamento do EP não ter sido observado quando relacionado aos coeficientes fixos das variáveis agregadas no setor de trabalho. A maior distinção entre as duas abordagens foi observada em relação aos coeficientes aleatórios relacionados aos setores de trabalho, que alteraram substancialmente após ajustar o efeito da ocupação por meio dos modelos com classificação cruzada. Este estudo reforça a importância de características psicossociais na ocorrência de acidentes de trabalho e contribui para o conhecimento dessas relações a partir de abordagens analíticas que refinam a captação da estrutura de dependência dos indivíduos em seu ambiente de trabalho. Sugere-se a realização de outros estudos com metodologia similar, que permitam aprofundar o conhecimento sobre estresse e acidentes no trabalho.

Nonperturbative dynamical decoupling with random control

Parametric fluctuations or stochastic signals are introduced into the rectangular pulse sequence to investigate the feasibility of random dynamical decoupling. In a large parameter region, we find that the out-of-order control pulses work as well as the regular pulses for dynamical decoupling and dissipation suppression. Calculations and analysis are enabled by and based on a nonperturbative dynamical decoupling approach allowed by an exact quantum-state-diffusion equation. When the average frequency and duration of the pulse sequence take proper values, the random control sequence is robust, fault-tolerant, and insensitive to pulse strength deviations and interpulse temporal separation in the quasi-periodic sequence. This relaxes the operational requirements placed on quantum control devices to a great deal.