Considerations in Determining the Cost of Measurement Uncertainty Associated with Dimensional Tolerances Verification

The verification of compliance with a design specification in manufacturing requires the use of metrological instruments to check if the magnitude associated with the design specification is or not according with tolerance range. Such instrumentation and their use during the measurement process, has associated an uncertainty of measurement whose value must be related to the value of tolerance tested. Most papers dealing jointly tolerance and measurement uncertainties are mainly focused on the establishment of a relationship uncertainty-tolerance without paying much attention to the impact from the standpoint of process cost. This paper analyzes the cost-measurement uncertainty, considering uncertainty as a productive factor in the process outcome. This is done starting from a cost-tolerance model associated with the process. By means of this model the existence of a measurement uncertainty is calculated in quantitative terms of cost and its impact on the process is analyzed.

Comparative analysis of measurement techniques of the sound absorption coefficient of a material

Las tendencias actuales apuntan al desarrollo de nuevos materiales económicos y ecológicos con óptimas propiedades mecánicas, acústicas y térmicas. En la caracterización acústica del material es habitual medir su coeficiente de absorción sonora. Las dos técnicas usuales de medida de este parámetro son en cámara reverberante y en tubo de Kundt. No obstante, existen técnicas de medida “in situ” del coeficiente de absorción que permiten una comprobación del comportamiento real en la forma definitiva de colocación del material. En este trabajo se presenta un estudio comparativo del coeficiente de absorción sonora medido en un material usando distintas técnicas de medida.

Territorial cohesion impacts of high-speed rail under different zoning systems

Large-scale transport infrastructure projects such as high-speed rail (HSR) produce significant effects on the spatial distribution of accessibility. These effects, commonly known as territorial cohesion effects, are receiving increasing attention in the research literature. However, there is little empirical research into the sensitivity of these cohesion results to methodological issues such as the definition of the limits of the study area or the zoning system. In a previous paper (Ortega et al., 2012), we investigated the influence of scale issues, comparing the cohesion results obtained at four different planning levels. This paper makes an additional contribution to our research with the investigation of the influence of zoning issues. We analyze the extent to which changes in the size of the units of analysis influence the measurement of spatial inequalities. The methodology is tested by application to the Galician (north-western) HSR corridor, with a length of nearly 670 km, included in the Spanish PEIT (Strategic Transport and Infrastructure Plan) 2005-2020. We calculated the accessibility indicators for the Galician HSR corridor and assessed their corresponding territorial distribution. We used five alternative zoning systems depending on the method of data representation used (vector or raster), and the level of detail (cartographic accuracy or cell size). Our results suggest that the choice between a vector-based and raster-based system has important implications. The vector system produces a higher mean accessibility value and a more polarized accessibility distribution than raster systems. The increased pixel size of raster-based systems tends to give rise to higher mean accessibility values and a more balanced accessibility distribution. Our findings strongly encourage spatial analysts to acknowledge that the results of their analyses may vary widely according to the definition of the units of analysis.

Towards a unified sentiment lexicon based on graphics processing units

This paper presents an approach to create what we have called a Unified Sentiment Lexicon (USL). This approach aims at aligning, unifying, and expanding the set of sentiment lexicons which are available on the web in order to increase their robustness of coverage. One problem related to the task of the automatic unification of different scores of sentiment lexicons is that there are multiple lexical entries for which the classification of positive, negative, or neutral {P, Z, N} depends on the unit of measurement used in the annotation methodology of the source sentiment lexicon. Our USL approach computes the unified strength of polarity of each lexical entry based on the Pearson correlation coefficient which measures how correlated lexical entries are with a value between 1 and -1, where 1 indicates that the lexical entries are perfectly correlated, 0 indicates no correlation, and -1 means they are perfectly inversely correlated and so is the UnifiedMetrics procedure for CPU and GPU, respectively. Another problem is the high processing time required for computing all the lexical entries in the unification task. Thus, the USL approach computes a subset of lexical entries in each of the 1344 GPU cores and uses parallel processing in order to unify 155802 lexical entries. The results of the analysis conducted using the USL approach show that the USL has 95.430 lexical entries, out of which there are 35.201 considered to be positive, 22.029 negative, and 38.200 neutral. Finally, the runtime was 10 minutes for 95.430 lexical entries; this allows a reduction of the time computing for the UnifiedMetrics by 3 times.

Contribution to the Analysis, Design and Assessment of Compact Antenna Test Ranges At Millimeter Wavelengths - Contribución al Análisis, Diseño y Caracterización de Sistemas de Medida de Antenas en Rango Compacto para Frecuencias Milimétricas

This Doctoral Thesis entitled Contribution to the analysis, design and assessment of compact antenna test ranges at millimeter wavelengths aims to deepen the knowledge of a particular antenna measurement system: the compact range, operating in the frequency bands of millimeter wavelengths. The thesis has been developed at Radiation Group (GR), an antenna laboratory which belongs to the Signals, Systems and Radiocommunications department (SSR), from Technical University of Madrid (UPM). The Radiation Group owns an extensive experience on antenna measurements, running at present four facilities which operate in different configurations: Gregorian compact antenna test range, spherical near field, planar near field and semianechoic arch system. The research work performed in line with this thesis contributes the knowledge of the first measurement configuration at higher frequencies, beyond the microwaves region where Radiation Group features customer-level performance. To reach this high level purpose, a set of scientific tasks were sequentially carried out. Those are succinctly described in the subsequent paragraphs. A first step dealed with the State of Art review. The study of scientific literature dealed with the analysis of measurement practices in compact antenna test ranges in addition with the particularities of millimeter wavelength technologies. Joint study of both fields of knowledge converged, when this measurement facilities are of interest, in a series of technological challenges which become serious bottlenecks at different stages: analysis, design and assessment. Thirdly after the overview study, focus was set on Electromagnetic analysis algorithms. These formulations allow to approach certain electromagnetic features of interest, such as field distribution phase or stray signal analysis of particular structures when they interact with electromagnetic waves sources. Properly operated, a CATR facility features electromagnetic waves collimation optics which are large, in terms of wavelengths. Accordingly, the electromagnetic analysis tasks introduce an extense number of mathematic unknowns which grow with frequency, following different polynomic order laws depending on the used algorithmia. In particular, the optics configuration which was of our interest consisted on the reflection type serrated edge collimator. The analysis of these devices requires a flexible handling of almost arbitrary scattering geometries, becoming this flexibility the nucleus of the algorithmia’s ability to perform the subsequent design tasks. This thesis’ contribution to this field of knowledge consisted on reaching a formulation which was powerful at the same time when dealing with various analysis geometries and computationally speaking. Two algorithmia were developed. While based on the same principle of hybridization, they reached different order Physics performance at the cost of the computational efficiency. Inter-comparison of their CATR design capabilities was performed, reaching both qualitative as well as quantitative conclusions on their scope. In third place, interest was shifted from analysis - design tasks towards range assessment. Millimetre wavelengths imply strict mechanical tolerances and fine setup adjustment. In addition, the large number of unknowns issue already faced in the analysis stage appears as well in the on chamber field probing stage. Natural decrease of dynamic range available by semiconductor millimeter waves sources requires in addition larger integration times at each probing point. These peculiarities increase exponentially the difficulty of performing assessment processes in CATR facilities beyond microwaves. The bottleneck becomes so tight that it compromises the range characterization beyond a certain limit frequency which typically lies on the lowest segment of millimeter wavelength frequencies. However the value of range assessment moves, on the contrary, towards the highest segment. This thesis contributes this technological scenario developing quiet zone probing techniques which achieves substantial data reduction ratii. Collaterally, it increases the robustness of the results to noise, which is a virtual rise of the setup’s available dynamic range. In fourth place, the environmental sensitivity of millimeter wavelengths issue was approached. It is well known the drifts of electromagnetic experiments due to the dependance of the re sults with respect to the surrounding environment. This feature relegates many industrial practices of microwave frequencies to the experimental stage, at millimeter wavelengths. In particular, evolution of the atmosphere within acceptable conditioning bounds redounds in drift phenomena which completely mask the experimental results. The contribution of this thesis on this aspect consists on modeling electrically the indoor atmosphere existing in a CATR, as a function of environmental variables which affect the range’s performance. A simple model was developed, being able to handle high level phenomena, such as feed - probe phase drift as a function of low level magnitudes easy to be sampled: relative humidity and temperature. With this model, environmental compensation can be performed and chamber conditioning is automatically extended towards higher frequencies. Therefore, the purpose of this thesis is to go further into the knowledge of millimetre wavelengths involving compact antenna test ranges. This knowledge is dosified through the sequential stages of a CATR conception, form early low level electromagnetic analysis towards the assessment of an operative facility, stages for each one of which nowadays bottleneck phenomena exist and seriously compromise the antenna measurement practices at millimeter wavelengths.

Automatic Adaptation of Airport Surface Surveillance to Sensor Quality

This paper describes a novel method to enhance current airport surveillance systems used in Advanced Surveillance Monitoring Guidance and Control Systems (A-SMGCS). The proposed method allows for the automatic calibration of measurement models and enhanced detection of nonideal situations, increasing surveillance products integrity. It is based on the definition of a set of observables from the surveillance processing chain and a rule based expert system aimed to change the data processing methods

Qualitative behaviour of L1 and L2 standard deviation in insulations measurements according to standard UNE EN ISO 140-4

Knowledge of the uncertainty of measurement of testing results is important when results have to be compared with limits and specifications. In the measurement of sound insulation following standards UNE EN ISO 140-4 the uncertainty of the final magnitude is mainly associated to the average sound pressure levels L1 and L2 measured. A parameter that allows us to quantify the spatial variation of the sound pressure level is the standard deviation of the pressure levels measured at different points of the room. In this work, for a wide number of measurements following standards UNE EN ISO 140-4 we analyzed qualitatively the behaviour of the standard deviation for L1 and L2. The study of sound fields in enclosed spaces is very difficult. There are a wide variety of rooms with different sound fields depending on factors as volume, geometry and materials. In general, we observe that the L1 and L2 standard deviations contain peaks and dips independent on characteristics of the rooms at single frequencies that could correspond to critical frequencies of walls, floors and windows or even to temporal alterations of the sound field. Also, in most measurements according to UNE EN ISO 140-4 a large similitude between L1 and L2 standard deviation is found. We believe that such result points to a coupled system between source and receiving rooms, mainly at low frequencies the shape of the L1 and L2 standard deviations is comparable to the velocity level standard deviation on a wall

Modelo multifactorial para optimización de la productividad en el proceso de generación de energía eléctrica : aplicación al caso de las centrales hidroeléctricas venezolanas

Las organizaciones son sistemas o unidades sociales, compuestas por personas que interactúan entre sí, para lograr objetivos comunes. Uno de sus objetivos es la productividad. La productividad es un constructo multidimensional en la que influyen aspectos tecnológicos, económicos, organizacionales y humanos. Diversos estudios apoyan la influencia de la motivación de las personas, de las habilidades y destrezas de los individuos, de su talento para desempeñar el trabajo, así como también del ambiente de trabajo presente en la organización, en la productividad. Por esta razón, el objetivo general de la investigación, es analizar la influencia entre los factores humanos y la productividad. Se hará énfasis en la persona como factor productivo clave, para responder a las interrogantes de la investigación, referidas a cuáles son las variables humanas que inciden en la productividad, a la posibilidad de plantear un modelo de productividad que considere el impacto del factor humano y la posibilidad de encontrar un método para la medición de la productividad que contemple la percepción del factor humano. Para resolver estas interrogantes, en esta investigación se busca establecer las relaciones entre las variables humanas y la productividad, vistas desde la perspectiva de tres unidades de análisis diferentes: individuo, grupo y organización, para la formulación de un modelo de productividad humana y el diseño de un instrumento para su medida. Una de las principales fuente de investigación para la elección de las variables humanas, la formulación del modelo, y el método de medición de la productividad, fue la revisión de la literatura disponible sobre la productividad y el factor humano en las organizaciones, lo que facilitó el trazado del marco teórico y conceptual. Otra de las fuentes para la selección fue la opinión de expertos y de especialistas directamente involucrados en el sector eléctrico venezolano, lo cual facilitó la obtención de un modelo, cuyas variables reflejasen la realidad del ámbito en estudio. Para aportar una interpretación explicativa del fenómeno, se planteó el modelo de los Factores Humanos vs Productividad (MFHP), el cual se analizó desde la perspectiva del análisis causal y fue conformado por tres variables latentes exógenas denominadas: factores individuales, factores grupales y factores organizacionales, que estaban relacionadas con una variable latente endógena denominada productividad. El MFHP se formuló mediante la metodología de los modelos de ecuaciones estructurales (SEM). Las relaciones inicialmente propuestas entre las variables latentes fueron corroboradas por los ajustes globales del modelo, se constataron las relaciones entre las variables latentes planteadas y sus indicadores asociados, lo que facilitó el enunciado de 26 hipótesis, de las cuales se comprobaron 24. El modelo fue validado mediante la estrategia de modelos rivales, utilizada para comparar varios modelos SEM, y seleccionar el de mejor ajuste, con sustento teórico. La aceptación del modelo se realizó mediante la evaluación conjunta de los índices de bondad de ajuste globales. Asimismo, para la elaboración del instrumento de medida de la productividad (IMPH), se realizó un análisis factorial exploratorio previo a la aplicación del análisis factorial confirmatorio, aplicando SEM. La revisión de los conceptos de productividad, la incidencia del factor humano, y sus métodos de medición, condujeron al planteamiento de métodos subjetivos que incorporaron la percepción de los principales actores del proceso productivo, tanto para la selección de las variables, como para la formulación de un modelo de productividad y el diseño de un instrumento de medición de la productividad. La contribución metodológica de este trabajo de investigación, ha sido el empleo de los SEM para relacionar variables que tienen que ver con el comportamiento humano en la organización y la productividad, lo cual abre nuevas posibilidades a la investigación en este ámbito. Organizations are social systems or units composed of people who interact with each other to achieve common goals. One objective is productivity, which is a multidimensional construct influenced by technological, economic, organizational and human aspects. Several studies support the influence on productivity of personal motivation, of the skills and abilities of individuals, of their talent for the job, as well as of the work environment present in the organization. Therefore, the overall objective of this research is to analyze the influence between human factors and productivity. The emphasis is on the individual as a productive factor which is key in order to answer the research questions concerning the human variables that affect productivity and to address the ability to propose a productivity model that considers the impact of the human factor and the possibility of finding a method for the measurement of productivity that includes the perception of the human factor. To consider these questions, this research seeks to establish the relationships between human and productivity variables, as seen from the perspective of three different units of analysis: the individual, the group and the organization, in order to formulate a model of human productivity and to design an instrument for its measurement. A major source of research for choosing the human variables, model formulation, and method of measuring productivity, was the review of the available literature on productivity and the human factor in organizations which facilitated the design of the theoretical and conceptual framework. Another source for the selection was the opinion of experts and specialists directly involved in the Venezuelan electricity sector which facilitated obtaining a model whose variables reflect the reality of the area under study. To provide an interpretation explaining the phenomenon, the model of the Human Factors vs. Productivity Model (HFPM) was proposed. This model has been analyzed from the perspective of causal analysis and was composed of three latent exogenous variables denominated: individual, group and organizational factors which are related to a latent variable denominated endogenous productivity. The HFPM was formulated using the methodology of Structural Equation Modeling (SEM). The initially proposed relationships between latent variables were confirmed by the global fits of the model, the relationships between the latent variables and their associated indicators enable the statement of 26 hypotheses, of which 24 were confirmed. The model was validated using the strategy of rival models, used for comparing various SEM models and to select the one that provides the best fit, with theoretical support. The acceptance of the model was performed through the joint evaluation of the adequacy of global fit indices. Additionally, for the development of an instrument to measure productivity, an exploratory factor analysis was performed prior to the application of a confirmatory factor analysis, using SEM. The review of the concepts of productivity, the impact of the human factor, and the measurement methods led to a subjective methods approach that incorporated the perception of the main actors of the production process, both for the selection of variables and for the formulation of a productivity model and the design of an instrument to measure productivity. The methodological contribution of this research has been the use of SEM to relate variables that have to do with human behavior in the organization and with productivity, opening new possibilities for research in this area.

Propagation mechanism modelling in the near region of circular tunnels

Artículo sobre comunicaciones ferroviarias. Abstract: Along with the increase in operating frequencies in advanced radio communication systems utilised inside tunnels, the location of the break point is further and further away from the transmitter. This means that the near region lengthens considerably and even occupies the whole propagation cell or the entire length of some short tunnels. To begin with, this study analyses the propagation loss resulting from the free-space mechanism and the multi-mode waveguide mechanism in the near region of circular tunnels, respectively. Then, by conjunctive employing the propagation theory and the three-dimensional solid geometry, a general analytical model of the dividing point between two propagation mechanisms is presented for the first time. Moreover, the model is validated by a wide range of measurement campaigns in different tunnels at different frequencies. Finally, discussions on the simplified formulae of the dividing point in some application situations are made. The results in this study can be helpful to grasp the essence of the propagation mechanism inside tunnels.

Performance indices for robotic manipulators: a review of the state of the art

The performance indices are important tools for motion planning and design of robot manipulators. In this paper we present a collection of some of the performance indices that have generated interest in the robotics community. These indices are four different types: kinetostatic performance indices, dynamic performance indices, indices of joint limits, and finally global performance indices. In addition, we review the strategies that have been proposed to solve the problems that occur when the units of the Jacobian matrix elements are not homogeneous. At the end of this paper, we propose a set of global performance indices that can be useful in the design of robot manipulators.

The unstoppable rise of photovoltaic solar energy: PV vs. PV

Photovoltaic (PV) solar energy has been growing during the last decade an explosive rate. Last year (2011) the solar cell production amounted to more than 37 GW. It is the energy technology most installed nowadays. The power generated by the 37 GW is similar to the one generated by about 7 nuclear units of 1 GW each. The solar industry is already a huge industry dominated by Asian countries led by China. It is not anymore a promise. It is just a reality.

Facing the climate change challenges in the mining and mineral industry as providers of a sustainable manufacturing process

A sustainable manufacturing process must rely on an also sustainable raw materials and energy supply. This paper is intended to show the results of the studies developed on sustainable business models for the minerals industry as a fundamental previous part of a sustainable manufacturing process. As it has happened in other economic activities, the mining and minerals industry has come under tremendous pressure to improve its social, developmental, and environmental performance. Mining, refining, and the use and disposal of minerals have in some instances led to significant local environmental and social damage. Nowadays, like in other parts of the corporate world, companies are more routinely expected to perform to ever higher standards of behavior, going well beyond achieving the best rate of return for shareholders. They are also increasingly being asked to be more transparent and subject to third-party audit or review, especially in environmental aspects. In terms of environment, there are three inter-related areas where innovation and new business models can make the biggest difference: carbon, water and biodiversity. The focus in these three areas is for two reasons. First, the industrial and energetic minerals industry has significant footprints in each of these areas. Second, these three areas are where the potential environmental impacts go beyond local stakeholders and communities, and can even have global impacts, like in the case of carbon. So prioritizing efforts in these areas will ultimately be a strategic differentiator as the industry businesses continues to grow. Over the next forty years, world?s population is predicted to rise from 6.300 million to 9.500 million people. This will mean a huge demand of natural resources. Indeed, consumption rates are such that current demand for raw materials will probably soon exceed the planet?s capacity. As awareness of the actual situation grows, the public is demanding goods and services that are even more environmentally sustainable. This means that massive efforts are required to reduce the amount of materials we use, including freshwater, minerals and oil, biodiversity, and marine resources. It?s clear that business as usual is no longer possible. Today, companies face not only the economic fallout of the financial crisis; they face the substantial challenge of transitioning to a low-carbon economy that is constrained by dwindling natural resources easily accessible. Innovative business models offer pioneering companies an early start toward the future. They can signal to consumers how to make sustainable choices and provide reward for both the consumer and the shareholder. Climate change and carbon remain major risk discontinuities that we need to better understand and deal with. In the absence of a global carbon solution, the principal objective of any individual country should be to reduce its global carbon emissions by encouraging conservation. The mineral industry internal response is to continue to focus on reducing the energy intensity of our existing operations through energy efficiency and the progressive introduction of new technology. Planning of the new projects must ensure that their energy footprint is minimal from the start. These actions will increase the long term resilience of the business to uncertain energy and carbon markets. This focus, combined with a strong demand for skills in this strategic area for the future requires an appropriate change in initial and continuing training of engineers and technicians and their awareness of the issue of eco-design. It will also need the development of measurement tools for consistent comparisons between companies and the assessments integration of the carbon footprint of mining equipments and services in a comprehensive impact study on the sustainable development of the Economy.

Medida de la conductividad térmica con el método de la aguja térmica, basado en la fuente lineal de calor transitorio, para su aplicación en los cerramientos de adobes y bloques de tierra comprimida

Existe un creciente interés internacional por el ahorro energético y la sostenibilidad en la edificación con importantes repercusiones en la Arquitectura. La inercia térmica es un parámetro fundamental para poder valorar energéticamente un edificio en condiciones reales. Para ello es necesario cambiar el enfoque tradicional de transmisión de calor en régimen estacionario por otro en régimen dinámico en el que se analizan las ondas térmicas y el flujo de calor oscilante que atraviesan los cerramientos. Los parámetros que definen la inercia térmica son: el espesor, la difusividad y el ciclo térmico. A su vez la difusividad está determinada por la conductividad térmica, la densidad y el calor específico del material. De estos parámetros la conductividad es el más complejo, variable y difícil de medir, especialmente en los cerramientos de tierra debido a su heterogeneidad y complejidad higrotérmica. En general, los métodos de medida de la conductividad o transmitancias en los paramentos presentan inconvenientes a la hora de medir un edificio construido con tierra: dificultades de implementación, el elevado coste o la fiabilidad de los resultados, principalmente. El Método de la Aguja Térmica (MAT) se basa en el principio de la evolución en el tiempo del calor emitido por una fuente lineal al insertarse en el seno de un material. Se ha escogido este método porque resulta práctico, de bajo coste y de fácil aplicación a gran escala pero tiene serios problemas de fiabilidad y exactitud. En esta tesis se desarrolla un método de medida de la conductividad térmica para Piezas de Albañilería de Tierra Cruda en laboratorio basado en el MAT, se mejora su fiabilidad, se analiza su incertidumbre, se compara con otros métodos de referencia y se aplica en adobes, Bloques de Tierra Comprimida y probetas de tierra estabilizada con distintas proporciones de paja. Este método servirá de base a una posterior aplicación in situ. Finalmente se proponen modelos matemáticos para mejorar la exactitud del dispositivo utilizado y para la estimación de la conductividad de cerramientos de tierra en función de su densidad. Con los resultados obtenidos se analizan las posibilidades de amortiguación y retardo de las ondas térmicas y capacidad de almacenaje de energía de los cerramientos en función de su densidad y humedad. There is growing international interest in energy saving and sustainability in buildings with significant impact on Architecture. Thermal inertia is a key parameter to assess energy in buildings in real conditions. This requires changing the traditional approach to heat transfer in steady state by another in dynamic regime which analyzes the thermal waves and oscillating heat flux passing through the external walls. The parameters defining the thermal inertia are: the thickness, the diffusivity and the thermal cycle. In turn, the diffusivity is determined by the thermal conductivity, density and specific heat of the material. Of these parameters, thermal conductivity is the most complex, variable and difficult to measure, especially in earth walls due to their heterogeneity and hygrothermal complexity. In general, the methods of measurement of conductivity and transmittance in walls have drawbacks when measuring a building with earth: implementation difficulties, high cost, or reliability of the results, mainly. The Thermal Needle Procedure (TNP) is based on the principle of evolution in time of heat from a line source when inserted within a material. This method was chosen because it is a practical, low cost and easy to implement on a large scale but has serious problems of reliability and accuracy. This thesis develops a laboratory method for measuring the thermal conductivity of Masonry Units Unfire Earth-based based on TNP, its uncertainty is analyzed, compared to other reference methods and applies in adobes, Compressed Earth Blocks and stabilized soil specimens with different proportions of straw. This method will form the basis of a subsequent application in situ. Finally, mathematical models are proposed to improve the accuracy of the device used, and to estimate the conductivity of earth enclosures depending on its density. With the results obtained earth enclosures are analyzed to estimate their possibilities of delay and buffer of termal waves and energy storage capacity according to their density and moisture.

A critical force constant of the structural phase transition in quartz

Long wavelength optical phonons of quartz were analyzed by a Born-Von Karman model not previously used. It was found that only one force constant associated with the turning of the Si-O bonds has a critical effect on the soft-mode frequency and the α-β transition in quartz. The square of the soft-mode frequency was found to depend linearly on this force constant which has the temperature dependence K(T)= -5.33+225.3x10-4(851-T)2/3 in units of 104 dyn/cm2.

Experimental and numerical investigation of effect of sawn timber dimensions in ultrasonic velocity measurements of Spanish softwoods

Ultrasonic sound velocity measurements with hand-held equipment remain due to their simplicity among the most used methods for non-destructive grading of sawn woods, yet a dedicated normalization effort with respect to strength classes for Spanish species is still required. As part of an ongoing project with the aim of definition of standard testing methods, the effect of the dimensions of commonly tested Scots pine (Pinus sylvestris L.) timbers and equipment testing frequency on ultrasonic velocity were investigated. A dedicated full-wave finite-difference time-domain software allowed simulation of pulse propagation through timbers of representative length and section combinations. Sound velocity measurements vL were performed along the grain with the indirect method at 22 kHz and 45 kHz for grids of measurement points at specific distances. For sample sections larger than the cross-sectional wavelength ?RT, the simulated sound velocity vL converges to vL = (CL/?)0.5. For smaller square sections the sound velocity drops down to vL = (EL/?)0.5, where CL, EL and ? are the stiffness, E-modul and density, respectively. The experiments confirm a linear regression between time of flight and measurement distance even at less than two wavelength menor que2?L distance, the fitted sound speed values increased by 15% between the two tested frequencies.