Studies of response to earthquake ground motion

A study is made of the accuracy of electronic digital computer calculations of ground displacement and response spectra from strong-motion earthquake accelerograms. This involves an investigation of methods of the preparatory reduction of accelerograms into a form useful for the digital computation and of the accuracy of subsequent digital calculations. Various checks are made for both the ground displacement and response spectra results, and it is concluded that the main errors are those involved in digitizing the original record. Differences resulting from various investigators digitizing the same experimental record may become as large as 100% of the maximum computed ground displacements. The spread of the results of ground displacement calculations is greater than that of the response spectra calculations. Standardized methods of adjustment and calculation are recommended, to minimize such errors.

Studies are made of the spread of response spectral values about their mean. The distribution is investigated experimentally by Monte Carlo techniques using an electric analog system with white noise excitation, and histograms are presented indicating the dependence of the distribution on the damping and period of the structure. Approximate distributions are obtained analytically by confirming and extending existing results with accurate digital computer calculations. A comparison of the experimental and analytical approaches indicates good agreement for low damping values where the approximations are valid. A family of distribution curves to be used in conjunction with existing average spectra is presented. The combination of analog and digital computations used with Monte Carlo techniques is a promising approach to the statistical problems of earthquake engineering.

Methods of analysis of very small earthquake ground motion records obtained simultaneously at different sites are discussed. The advantages of Fourier spectrum analysis for certain types of studies and methods of calculation of Fourier spectra are presented. The digitizing and analysis of several earthquake records is described and checks are made of the dependence of results on digitizing procedure, earthquake duration and integration step length. Possible dangers of a direct ratio comparison of Fourier spectra curves are pointed out and the necessity for some type of smoothing procedure before comparison is established. A standard method of analysis for the study of comparative ground motion at different sites is recommended.

Monitoramento do agrotóxico mancozeb no solo em diferentes sistemas de plantios de tomate

O presente trabalho tem por objetivo monitorar o agrotóxico Mancozeb no solo em diferentes sistemas de plantios de tomate utilizando a metodologia de decomposição dos ditiocarbamatos (DTCs) com geração de dissulfeto de carbono (CS2). Este método é amplamente utilizado na determinação dos resíduos de DTCs em alimentos, tendo sido adaptado para trabalhar com amostras de solo artificiais e reais. O método foi avaliado utilizando amostras contaminadas artificialmente a partir de uma amostra de solo controle, proveniente da Amazônia. A contaminação foi realizada com uma solução de campo (2 g.L-1 em água) do agrotóxico Manzate 800 (Mancozeb). A partir do momento em que foram determinadas as condições ideais de operação do método de decomposição dos DTCs, analisou-se o teor de Mancozeb em amostras reais, provenientes de uma área cultivada com tomate, no Município de São José de Ubá (RJ), sob sistemas de Plantios Convencional, Mínimo e Direto. Foi possível constatar a presença de teores de Mancozeb nas amostras reais de solo em estudo, coletadas nas profundidades 0 - 5 cm; 5 - 10 cm; 10 - 20 cm e 20 - 40 cm. Os resultados mostraram que os solos provenientes dos sistemas convencional e mínimo apresentaram, na camada superficial, um teor de Mancozeb de (7,44 mg.kg-1 e 5,70 mg.kg-1) superior ao obtido no sistema direto, que apresentou teores de (1,14 mg.kg-1 e 1,95 mg.kg-1) de Mancozeb

Técnica do tratamento restaurador atraumatico em estudantes de escola municipal do Rio de Janeiro: avaliação in vitro da influência da proteção superficial e do tempo de entrada em serviço na resistência a tração diametral do cimento de ionômero de vidro utilizado

Tratamento restaurador atraumático tornou-se uma opção real para o tratamento da cárie dentária em saúde pública no Brasil. O presente estudo teve como objetivo avaliar durabilidade, resistência e eficácia de 70 restaurações em 31 alunos (entre 6 a 12 anos de idade na Escola Municipal Rotary, RJ - Brasil). Depois de CPO-D e ceo-exame de acordo com critérios da OMS, todos os alunos com selecionados receberam TRA com VITRO MOLAR - DFL, juntamente com instruções de saúde bucal. Os critérios de exclusão foram a presença de cavidades muito profundas e exposição pulpar, casos em que os alunos foram encaminhados para o Postos de Saúde Municipal. In vitro avaliou-se a influência do tempo de entrada em serviço e do tipo de cobertura protetora utilizada na resistência coesiva do Cimento de Ionômero de Vidro utilizado, por meio de ensaios de tração diametral. Confeccionou-se para o teste de tração diametral 6 espécimes para cada variante, 72 no total, com dimensões de 4 mm de diâmetro por 8 mm de comprimento, divididos entre os grupos: grupo1 sem protetor (controle); grupo2 vaselina sólida; grupo3 verniz para unhas. Realizou-se ensaios mecânicos em uma máquina universal de ensaios EMIC DL 500 MF, após a confecção e estocagem individual dos espécimes em potes plásticos contendo 5 ml de água deionizada, que formaram os subgrupos descritos a seguir: a - 20 minutos; b - 2 horas; c - 24 horas; d - 7 dias. Os dados obtidos foram tratados por ANOVA e por Student Newman-Keuls (p<0,05). Ao se avaliar a influência dos diferentes protetores de superfície no CIV utilizado no presente trabalho observou-se que, os protetores de superfície tiveram influência no comportamento do material (p=0,000), com o verniz para unhas mostrando um desempenho superior ao da vaselina sólida. Quanto ao tempo, não foi possível verificar ruptura do material no prazo de 20 minutos, pois os corpos de prova sofriam deformação elástica catastrófica não sendo adequado para a finalidade desejada. Os tempos de 24 horas e sete dias foram semelhantes entre si e diferentes do tempo de duas horas. As restaurações foram clinicamente avaliadas depois de 6, 12, e 24 meses após sua alocação. No total 72 restaurações foram realizadas em 31 escolares. Depois de seis meses, 5 restaurações fraturaram e 3 perderam algum material. Após 12 meses, oito restaurações foram perdidas e apenas 1 fraturou. Na avaliação após 24 meses, mais 12 restaurações foram perdidas e 3 perderam material. Não foram registradas lesões cariosas secundarias após esse período, mesmo quando as restaurações foram parcialmente perdidas. Clinicamente conclui-se que quando a técnica do TRA é bem indicada e aplicada corretamente pode haver uma redução significativa no número de dentes perdidos por lesões de cárie nos indivíduos que participaram do nosso estudo.

Development of roll waves in open channels

This study is concerned with some of the properties of roll waves that develop naturally from a turbulent uniform flow in a wide rectangular channel on a constant steep slope . The wave properties considered were depth at the wave crest, depth at the wave trough, wave period, and wave velocity . The primary focus was on the mean values and standard deviations of the crest depths and wave periods at a given station and how these quantities varied with distance along the channel.

The wave properties were measured in a laboratory channel in which roll waves developed naturally from a uniform flow . The Froude number F (F = u_n/√gh_n, u_n = normal velocity , h_n = normal depth, g =acceleration of gravity) ranged from 3. 4 to 6. 0 for channel slopes S_o of . 05 and . 12 respectively . In the initial phase of their development the roll waves appeared as small amplitude waves with a continuous water surface profile . These small amplitude waves subsequently developed into large amplitude shock waves. Shock waves were found to overtake and combine with other shock waves with the result that the crest depth of the combined wave was larger than the crest depths before the overtake. Once roll waves began to develop, the mean value of the crest depths h_nmax increased with distance . Once the shock waves began to overtake, the mean wave period T_av increased approximately linearly with distance.

For a given Froude number and channel slope the observed quantities h^-_max/h_n , T' (T' = S_o T_av √g/h_n), and the standard deviations of h^-_max/h_n and T', could be expressed as unique functions of l/h_n (l = distance from beginning of channel) for the two-fold change in h_n occurring in the observed flows . A given value of h^-_max/h_n occurred at smaller values of l/h_n as the Froude number was increased. For a given value of h /hh^-_max/h_n the growth rate of δh^-_max/h^-_maxδl of the shock waves increased as the Froude number was increased.

A laboratory channel was also used to measure the wave properties of periodic permanent roll waves. For a given Froude number and channel slope the h^-_max/h_n vs. T' relation did not agree with a theory in which the weight of the shock front was neglected. After the theory was modified to include this weight, the observed values of h^-_max/h_n were within an average of 6.5 percent of the predicted values, and the maximum discrepancy was 13.5 percent.

For h^-_max/h_n sufficiently large (h^-_max/h_n > approximately 1.5) it was found that the h^-_max/h_n vs. T' relation for natural roll waves was practically identical to the h^-_max/h_n vs. T' relation for periodic permanent roll waves at the same Froude number and slope. As a result of this correspondence between periodic and natural roll waves, the growth rate δh^-_max/h^-_maxδl of shock waves was predicted to depend on the channel slope, and this slope dependence was observed in the experiments.

Investigation of strong earthquake ground motion

The pattern of energy release during the Imperial Valley, California, earthquake of 1940 is studied by analysing the El Centro strong motion seismograph record and records from the Tinemaha seismograph station, 546 km from the epicenter. The earthquake was a multiple event sequence with at least 4 events recorded at El Centro in the first 25 seconds, followed by 9 events recorded in the next 5 minutes. Clear P, S and surface waves were observed on the strong motion record. Although the main part of the earthquake energy was released during the first 15 seconds, some of the later events were as large as M = 5.8 and thus are important for earthquake engineering studies. The moment calculated using Fourier analysis of surface waves agrees with the moment estimated from field measurements of fault offset after the earthquake. The earthquake engineering significance of the complex pattern of energy release is discussed. It is concluded that a cumulative increase in amplitudes of building vibration resulting from the present sequence of shocks would be significant only for structures with relatively long natural period of vibration. However, progressive weakening effects may also lead to greater damage for multiple event earthquakes.

The model with surface Love waves propagating through a single layer as a surface wave guide is studied. It is expected that the derived properties for this simple model illustrate well several phenomena associated with strong earthquake ground motion. First, it is shown that a surface layer, or several layers, will cause the main part of the high frequency energy, radiated from the nearby earthquake, to be confined to the layer as a wave guide. The existence of the surface layer will thus increase the rate of the energy transfer into the man-made structures on or near the surface of the layer. Secondly, the surface amplitude of the guided SH waves will decrease if the energy of the wave is essentially confined to the layer and if the wave propagates towards an increasing layer thickness. It is also shown that the constructive interference of SH waves will cause the zeroes and the peaks in the Fourier amplitude spectrum of the surface ground motion to be continuously displaced towards the longer periods as the distance from the source of the energy release increases.

Influence of local geology on earthquake ground motion

As a simplified approach for estimating theoretically the influence of local subsoils upon the ground motion during an earthquake, the problem of an idealized layered system subjected to vertically incident plane body waves was studied. Both the technique of steady-state analysis and the technique of transient analysis have been used to analyze the problem.

In the steady-state analysis, a recursion formula has been derived for obtaining the response of a layered system to sinusoidally steady-state input. Several conclusions are drawn concerning the nature of the amplification spectrum of a nonviscous layered system having its layer stiffnesses increasing with depth. Numerical examples are given to demonstrate the effect of layer parameters on the amplification spectrum of a layered system.

In the transient analysis, two modified shear beam models have been established for obtaining approximately the response of a layered system to earthquake-like excitation. The method of continuous modal analysis was adopted for approximate analysis of the models, with energy dissipation in the layers, if any, taken into account. Numerical examples are given to demonstrate the accuracy of the models and the effect of a layered system in modifying the input motion.

Conditions are established, under which the theory is applicable to predict the influence of local subsoils on the ground motion during an earthquake. To demonstrate the applicability of the models to actual cases, three examples of actually recorded earthquake events are examined. It is concluded that significant modification of the incoming seismic waves, as predicted by the theory, is likely to occur in well defined soft subsoils during an earthquake, provided that certain conditions concerning the nature of the incoming seismic waves are satisfied.

Real-Time Bayesian Analysis of Ground Motion Envelopes for Earthquake Early Warning

Current earthquake early warning systems usually make magnitude and location predictions and send out a warning to the users based on those predictions. We describe an algorithm that assesses the validity of the predictions in real-time. Our algorithm monitors the envelopes of horizontal and vertical acceleration, velocity, and displacement. We compare the observed envelopes with the ones predicted by Cua & Heaton's envelope ground motion prediction equations (Cua 2005). We define a "test function" as the logarithm of the ratio between observed and predicted envelopes at every second in real-time. Once the envelopes deviate beyond an acceptable threshold, we declare a misfit. Kurtosis and skewness of a time evolving test function are used to rapidly identify a misfit. Real-time kurtosis and skewness calculations are also inputs to both probabilistic (Logistic Regression and Bayesian Logistic Regression) and nonprobabilistic (Least Squares and Linear Discriminant Analysis) models that ultimately decide if there is an unacceptable level of misfit. This algorithm is designed to work at a wide range of amplitude scales. When tested with synthetic and actual seismic signals from past events, it works for both small and large events.

Influência de diferentes métodos de condicionamento superficial em pinos pré-fabricados resinosos fibro-reforçados em vidro e quartzo na resistência adesiva a compósito de polimerização dual: teste de push-out

O objetivo deste estudo foi realizar uma avaliação tridimensional da rugosidade superficial em 3 tipos de pinos de fibra - DT LightPost, FRC Postec Plus e Transluma Post - submetidos a diferentes tratamentos de superfície e avaliar os efeitos dos pré-tratamentos na resistência adesiva a um compósito de presa dual Biscore. Os tratamentos de superfície foram: imersão em ácido hidrofluorídrico, jateamento com óxido de alumínio a 50m, imersão em peróxido de hidrogênio, jateamento com óxido de alumínio a 50m seguido de imersão em ácido hidrofluorídrico e jateamento com óxido de alumínio a 50m seguido de imersão em peróxido de hidrogênio. No experimento 1, 75 pinos foram divididos em 3 grupos (n = 25), de acordo com seu fabricante e subdivididos em cinco subgrupos. A rugosidade superficial foi medida usando um rugosímetro tridimensional e analisada com o software de análise 3D. Os valores de rugosidade foram obtidos antes e após diferentes tratamentos de superfície na área dos mesmos corpos-de-prova. Para o experimento 2, foram utilizados os mesmos corpos-de-prova, os mesmos grupos e subgrupos do experimento 1, tendo sido adicionado o subgrupo de controle (n=90) e a resistência adesiva a um compósito presa dual Biscore foi mensurada através de um teste push-out. A resistência adesiva foi medida em uma máquina universal de ensaios, com uma célula de carga tipo SLBL-5kN em uma velocidade de 0,5 mm / min. Os resultados do experimento 1 foram analisados através de um teste estatístico t-Student. Jateamento e jateamento seguido de imersão em ácido hidrofluorídrico produziram um aumento estatisticamente significante na rugosidade, contudo somente o tratamento por jateamento proporcionou um aumento significativo nos valores de rugosidade. Os resultados do experimento 2 foram obtidos através de um um teste t-unilateral de hipótese com variância desconhecida. Concluiu-se que o jateamento com óxido de alumínio a 50μm em uma distância de 30 mm a 2,5 bar de pressão por 5 segundos foi suficiente para modificar a topografia dos pinos de fibra de vidro e quartzo e que o jateamento com partículas de 50 μ alumina a distância de 30 mm a 2,5 bar de pressão por 5 segundos foi o único tratamento de superfície que aumentou a resistência adesiva do compósito Biscore aos pinos DT Light Post e Transluma Post. Os pinos FRC Postec Plus não demostraram um aumento estatisticamente significante na resistência adesiva em nenhum grupo.