Optimización de la composición del hueco de fachada en materia de eficiencia energética. Propuesta de indicador como herramienta para el análisis integral del elemento acristalado = Energy performance optimization of window systems. Proposal of an indicator as a tool for an integrated analysis of glazing

La hipótesis de esta tesis es: "La optimización de la ventana considerando simultáneamente aspectos energéticos y aspectos relativos a la calidad ambiental interior (confort higrotérmico, lumínico y acústico) es compatible, siempre que se conozcan y consideren las sinergias existentes entre ellos desde las primeras fases de diseño". En la actualidad se desconocen las implicaciones de muchas de las decisiones tomadas en torno a la ventana; para que su eficiencia en relación a todos los aspectos mencionados pueda hacerse efectiva es necesaria una herramienta que aporte más información de la actualmente disponible en el proceso de diseño, permitiendo así la optimización integral, en función de las circunstancias específicas de cada proyecto. En la fase inicial de esta investigación se realiza un primer acercamiento al tema, a través del estado del arte de la ventana; analizando la normativa existente, los componentes, las prestaciones, los elementos experimentales y la investigación. Se observa que, en ocasiones, altos requisitos de eficiencia energética pueden suponer una disminución de las prestaciones del sistema en relación con la calidad ambiental interior, por lo que surge el interés por integrar al análisis energético aspectos relativos a la calidad ambiental interior, como son las prestaciones lumínicas y acústicas y la renovación de aire. En este punto se detecta la necesidad de realizar un estudio integral que incorpore los distintos aspectos y evaluar las sinergias que se dan entre las distintas prestaciones que cumple la ventana. Además, del análisis de las soluciones innovadoras y experimentales se observa la dificultad de determinar en qué medida dichas soluciones son eficientes, ya que son soluciones complejas, no caracterizadas y que no están incorporadas en las metodologías de cálculo o en las bases de datos de los programas de simulación. Por lo tanto, se plantea una segunda necesidad, generar una metodología experimental para llevar a cabo la caracterización y el análisis de la eficiencia de sistemas innovadores. Para abordar esta doble necesidad se plantea la optimización mediante una evaluación del elemento acristalado que integre la eficiencia energética y la calidad ambiental interior, combinando la investigación teórica y la investigación experimental. En el ámbito teórico, se realizan simulaciones, cálculos y recopilación de información de distintas tipologías de hueco, en relación con cada prestación de forma independiente (acústica, iluminación, ventilación). A pesar de haber partido con un enfoque integrador, resulta difícil esa integración detectándose una carencia de herramientas disponible. En el ámbito experimental se desarrolla una metodología para la evaluación del rendimiento y de aspectos ambientales de aplicación a elementos innovadores de difícil valoración mediante la metodología teórica. Esta evaluación consiste en el análisis comparativo experimental entre el elemento innovador y un elemento estándar; para llevar a cabo este análisis se han diseñado dos espacios iguales, que denominamos módulos de experimentación, en los que se han incorporado los dos sistemas; estos espacios se han monitorizado, obteniéndose datos de consumo, temperatura, iluminancia y humedad relativa. Se ha realizado una medición durante un periodo de nueve meses y se han analizado y comparado los resultados, obteniendo así el comportamiento real del sistema. Tras el análisis teórico y el experimental, y como consecuencia de esa necesidad de integrar el conocimiento existente se propone una herramienta de evaluación integral del elemento acristalado. El desarrollo de esta herramienta se realiza en base al procedimiento de diagnóstico de calidad ambiental interior (CAI) de acuerdo con la norma UNE 171330 “Calidad ambiental en interiores”, incorporando el factor de eficiencia energética. De la primera parte del proceso, la parte teórica y el estado del arte, se obtendrán los parámetros que son determinantes y los valores de referencia de dichos parámetros. En base a los parámetros relevantes obtenidos se da forma a la herramienta, que consiste en un indicador de producto para ventanas que integra todos los factores analizados y que se desarrolla según la Norma UNE 21929 “Sostenibilidad en construcción de edificios. Indicadores de sostenibilidad”. ABSTRACT The hypothesis of this thesis is: "The optimization of windows considering energy and indoor environmental quality issues simultaneously (hydrothermal comfort, lighting comfort, and acoustic comfort) is compatible, provided that the synergies between these issues are known and considered from the early stages of design ". The implications of many of the decisions made on this item are currently unclear. So that savings can be made, an effective tool is needed to provide more information during the design process than the currently available, thus enabling optimization of the system according to the specific circumstances of each project. The initial phase deals with the study from an energy efficiency point of view, performing a qualitative and quantitative analysis of commercial, innovative and experimental windows. It is observed that sometimes, high-energy efficiency requirements may mean a reduction in the system's performance in relation to user comfort and health, that's why there is an interest in performing an integrated analysis of indoor environment aspects and energy efficiency. At this point a need for a comprehensive study incorporating the different aspects is detected, to evaluate the synergies that exist between the various benefits that meet the window. Moreover, from the analysis of experimental and innovative windows, a difficulty in establishing to what extent these solutions are efficient is observed; therefore, there is a need to generate a methodology for performing the analysis of the efficiency of the systems. Therefore, a second need arises, to generate an experimental methodology to perform characterization and analysis of the efficiency of innovative systems. To address this dual need, the optimization of windows by an integrated evaluation arises, considering energy efficiency and indoor environmental quality, combining theoretical and experimental research. In the theoretical field, simulations and calculations are performed; also information about the different aspects of indoor environment (acoustics, lighting, ventilation) is gathered independently. Despite having started with an integrative approach, this integration is difficult detecting lack available tools. In the experimental field, a methodology for evaluating energy efficiency and indoor environment quality is developed, to be implemented in innovative elements which are difficult to evaluate using a theoretical methodology This evaluation is an experimental comparative analysis between an innovative element and a standard element. To carry out this analysis, two equal spaces, called experimental cells, have been designed. These cells have been monitored, obtaining consumption, temperature, luminance and relative humidity data. Measurement has been performed during nine months and results have been analyzed and compared, obtaining results of actual system behavior. To advance this optimization, windows have been studied from the point of view of energy performance and performance in relation to user comfort and health: thermal comfort, acoustic comfort, lighting comfort and air quality; proposing the development of a methodology for an integrated analysis including energy efficiency and indoor environment quality. After theoretical and experimental analysis and as a result of the need to integrate existing knowledge, a comprehensive evaluation procedure for windows is proposed. This evaluation procedure is developed according to the UNE 171330 "Indoor Environmental Quality", also incorporating energy efficiency and cost as factors to evaluate. From the first part of the research process, outstanding parameters are chosen and reference values of these parameters are set. Finally, based on the parameters obtained, an indicator is proposed as windows product indicator. The indicator integrates all factors analyzed and is developed according to ISO 21929-1:2011"Sustainability in building construction. Sustainability indicators. Part 1: Framework for the development of indicators and a core set of indicators for buildings".

Estimation of modal parameters in structures using multiple time history records

In Operational Modal Analysis of structures we often have multiple time history records of vibrations measured at different time instants. This work presents a procedure for estimating the modal parameters of the structure processing all the records, that is, using all available information to obtain a single estimate of the modal parameters. The method uses Maximum Likelihood Estimation and the Expectation Maximization algorithm. Finally, it has been applied to various problems for both simulated and real structures and the results show the advantage of the joint analysis proposed.

Optimisation of a Low-Speed Wind Tunnel. Analysis and Redesign of Corner Vanes.

This paper includes the experimental study, analysis, redesign and subsequent test of the parts of a closed circuit, low speed wind tunnel which are relevant in terms of total pressure loss. The objective is to lower the energy consumption of this system for given conditions in test chamber, so as to reduce the operational costs. In order to achieve this objective, several tasks were performed as the text shows in its different parts. For these tasks, the ETSIAE wind tunnel was used, although the results of this work can be extrapolated to any wind tunnel with the same characteristics. Part II presents a theoretical previous study of the general running of a closed circuit, low speed wind tunnel, as well as the followed procedure to conduct experimental tests for obtaining the total pressure loss in its parts. Results from these tests and their analysis are included in this part. In part III, the analysis of the influence of corner 1 on the pressure loss takes place. As it is said in this part, corner 1 has great importance in the total pressure loss of the wind tunnel. Therefore, it is the first part that should be modified in order to improve the performances of the wind tunnel. During part IV, an optimised guide vane is designed in order to reduce the pressure loss in corner 1 of the wind tunnel. Software MISES is used to achieve this goal by means of selecting the optimum guide vane. In order to introduce the new guide vane in wind tunnels with affordable costs, the easily constructable criterion is kept during design. For this reason, the guide vane will consist of simple aerodynamic contours. Part V includes some possible improvements for the proposed guide vane, in order to evaluate if there is room for improvement in its design. Finally, part VI includes the tests that were conducted in the wind tunnel with the new guide vane cascade and the analysis of their results, in order to asses whether the proposed design fulfills the requirement of lowering the total pressure loss in the wind tunnel. Part VII gathers the main ideas resulting from the whole work.

Joint statistical analysis of multiple measurement setups for the estimation of vibrational modes

Computing the modal parameters of large structures in Operational Modal Analysis often requires to process data from multiple non simultaneously recorded setups of sensors. These setups share some sensors in common, the so-called reference sensors that are fixed for all the measurements, while the other sensors are moved from one setup to the next. One possibility is to process the setups separately what result in different modal parameter estimates for each setup. Then the reference sensors are used to merge or glue the different parts of the mode shapes to obtain global modes, while the natural frequencies and damping ratios are usually averaged. In this paper we present a state space model that can be used to process all setups at once so the global mode shapes are obtained automatically and subsequently only a value for the natural frequency and damping ratio of each mode is computed. We also present how this model can be estimated using maximum likelihood and the Expectation Maximization algorithm. We apply this technique to real data measured at a footbridge.

Uncertainties in the modal estimation from output-only data in civil structures

Cualquier estructura vibra según unas frecuencias propias definidas por sus parámetros modales (frecuencias naturales, amortiguamientos y formas modales). A través de las mediciones de la vibración en puntos clave de la estructura, los parámetros modales pueden ser estimados. En estructuras civiles, es difícil excitar una estructura de manera controlada, por lo tanto, las técnicas que implican la estimación de los parámetros modales sólo registrando su respuesta son de vital importancia para este tipo de estructuras. Esta técnica se conoce como Análisis Modal Operacional (OMA). La técnica del OMA no necesita excitar artificialmente la estructura, atendiendo únicamente a su comportamiento en servicio. La motivación para llevar a cabo pruebas de OMA surge en el campo de la Ingeniería Civil, debido a que excitar artificialmente con éxito grandes estructuras no sólo resulta difícil y costoso, sino que puede incluso dañarse la estructura. Su importancia reside en que el comportamiento global de una estructura está directamente relacionado con sus parámetros modales, y cualquier variación de rigidez, masa o condiciones de apoyo, aunque sean locales, quedan reflejadas en los parámetros modales. Por lo tanto, esta identificación puede integrarse en un sistema de vigilancia de la integridad estructural. La principal dificultad para el uso de los parámetros modales estimados mediante OMA son las incertidumbres asociadas a este proceso de estimación. Existen incertidumbres en el valor de los parámetros modales asociadas al proceso de cálculo (internos) y también asociadas a la influencia de los factores ambientales (externas), como es la temperatura. Este Trabajo Fin de Máster analiza estas dos fuentes de incertidumbre. Es decir, en primer lugar, para una estructura de laboratorio, se estudian y cuantifican las incertidumbres asociadas al programa de OMA utilizado. En segundo lugar, para una estructura en servicio (una pasarela de banda tesa), se estudian tanto el efecto del programa OMA como la influencia del factor ambiental en la estimación de los parámetros modales. Más concretamente, se ha propuesto un método para hacer un seguimiento de las frecuencias naturales de un mismo modo. Este método incluye un modelo de regresión lineal múltiple que permite eliminar la influencia de estos agentes externos. A structure vibrates according to some of its vibration modes, defined by their modal parameters (natural frequencies, damping ratios and modal shapes). Through the measurements of the vibration at key points of the structure, the modal parameters can be estimated. In civil engineering structures, it is difficult to excite structures in a controlled manner, thus, techniques involving output-only modal estimation are of vital importance for these structure. This techniques are known as Operational Modal Analysis (OMA). The OMA technique does not need to excite artificially the structure, this considers its behavior in service only. The motivation for carrying out OMA tests arises in the area of Civil Engineering, because successfully artificially excite large structures is difficult and expensive. It also may even damage the structure. The main goal is that the global behavior of a structure is directly related to their modal parameters, and any variation of stiffness, mass or support conditions, although it is local, is also reflected in the modal parameters. Therefore, this identification may be within a Structural Health Monitoring system. The main difficulty for using the modal parameters estimated by an OMA is the uncertainties associated to this estimation process. Thus, there are uncertainties in the value of the modal parameters associated to the computing process (internal) and the influence of environmental factors (external), such as the temperature. This Master’s Thesis analyzes these two sources of uncertainties. That is, firstly, for a lab structure, the uncertainties associated to the OMA program used are studied and quantified. Secondly, for an in-service structure (a stress-ribbon footbridge), both the effect of the OMA program and the influence of environmental factor on the modal parameters estimation are studied. More concretely, a method to track natural frequencies of the same mode has been proposed. This method includes a multiple linear regression model that allows to remove the influence of these external agents.

Métodos numéricos y estadísticos de caracterización de uniones tubulares soldadas para su aplicación en modelos de elementos finitos de estructuras de vehículos

El análisis de estructuras mediante modelos de elementos finitos representa una de las metodologías más utilizadas y aceptadas en la industria moderna. Para el análisis de estructuras tubulares de grandes dimensiones similares a las sobrestructuras de autobuses y autocares, los elementos de tipo viga son comúnmente utilizados y recomendados debido a que permiten obtener resultados satisfactorios con recursos computacionales reducidos. No obstante, los elementos de tipo viga presentan importante desventaja ya que las uniones modeladas presentan un comportamiento infinitamente rígido, esto determina un comportamiento mas rígido en las estructuras modeladas lo que se traduce en fuentes de error para las simulaciones estructurales (hasta un 60%). Mediante el modelado de uniones tubulares utilizando elementos de tipo área o volumen, se pueden obtener modelos más realistas, ya que las características topológicas de la unión propiamente dicha pueden ser reproducidas con un mayor nivel de detalle. Evitándose de esta manera los inconvenientes de los elementos de tipo viga. A pesar de esto, la modelización de estructuras tubulares de grandes dimensiones con elementos de tipo área o volumen representa una alternativa poco atractiva debido a la complejidad del proceso de modelados y al gran número de elementos resultantes lo que implica la necesidad de grandes recursos computacionales. El principal objetivo del trabajo de investigación presentado, fue el de obtener un nuevo tipo de elemento capaz de proporcionar estimaciones más exactas en el comportamiento de las uniones modeladas, al mismo tiempo manteniendo la simplicidad del procesos de modelado propio de los elementos de tipo viga regular. Con el fin de alcanzar los objetivos planteados, fueron realizadas diferentes metodologías e investigaciones. En base a las investigaciones realizadas, se obtuvo un modelo de unión viga alternativa en el cual se introdujeron un total seis elementos elásticos al nivel de la unión mediante los cuales es posible adaptar el comportamiento local de la misma. Adicionalmente, para la estimación de las rigideces correspondientes a los elementos elásticos se desarrollaron dos metodologías, una primera basada en la caracterización del comportamiento estático de uniones simples y una segunda basada en la caracterización del comportamiento dinámico a través de análisis modales. Las mejoras obtenidas mediante la implementación del modelo de unión alternativa fueron analizadas mediante simulaciones y validación experimental en una estructura tubular compleja representativa de sobrestructuras de autobuses y autocares. En base a los análisis comparativos realizados con la uniones simples modeladas y los experimentos de validación, se determinó que las uniones modeladas con elementos de tipo viga son entre un 5-60% más rígidas que uniones equivalentes modeladas con elementos área o volumen. También se determinó que las uniones área y volumen modeladas son entre un 5 a un 10% mas rígidas en comparación a uniones reales fabricadas. En los análisis realizados en la estructura tubular compleja, se obtuvieron mejoras importantes mediante la implementación del modelo de unión alternativa, las estimaciones del modelo viga se mejoraron desde un 49% hasta aproximadamente un 14%. ABSTRACT The analysis of structures with finite elements models represents one of the most utilized an accepted technique in the modern industry. For the analysis of large tubular structures similar to buses and coaches upper structures, beam type elements are utilized and recommended due to the fact that these elements provide satisfactory results at relatively reduced computational performances. However, the beam type elements have a main disadvantage determined by the fact that the modeled joints have an infinite rigid behavior, this shortcoming determines a stiffer behavior of the modeled structures which translates into error sources for the structural simulations (up to 60%). By modeling tubular junctions with shell and volume elements, more realistic models can be obtained, because the topological characteristics of the junction at the joint level can be reproduced more accurately. This way, the shortcoming that the beam type elements present can be solved. Despite this fact, modeling large tubular structures with shell or volume type elements represents an unattractive alternative due to the complexity of the modeling process and the large number of elements that result which imply the necessity of vast computational performances. The main objective of the research presented in this thesis was to develop a new beam type element that would be able to provide more accurate estimations for the local behavior of the modeled junctions at the same time maintaining the simplicity of the modeling process the regular beam type elements have. In order to reach the established objectives of the research activities, a series of different methodologies and investigations have been necessary. From these investigations an alternative beam T-junction model was obtained, in which a total of six elastic elements at the joint level were introduced, the elastic elements allowed us to adapt the local behavior of the modeled junctions. Additionally, for the estimation of the stiffness values corresponding to the elastic elements two methodologies were developed, one based on the T-junction’s static behavior and a second one based on the T-junction’s dynamic behavior by means of modal analysis. The improvements achieved throughout the implementation of this alternative T-junction model were analyzed though mechanical validation in a complex tubular structures that had a representative configuration for buses and coaches upper structures. From the comparative analyses of the finite element modeled T-junctions and mechanical experimental analysis, was determined that the beam type modeled T-junctions have a stiffer behavior compared to equivalent shell and volume modeled T-junctions with average differences ranging from 5-60% based on the profile configurations. It was also determined that the shell and volume models have a stiffer behavior compared to real T-junctions varying from 5 to 10% depending on the profile configurations. Based on the analysis of the complex tubular structure, significant improvements were obtained by the implementation of the alternative beam T-junction model, the model estimations were improved from a 49% to approximately 14%.

Evaluation of damping properties of structural glass panes under impact loading

The latest technology and architectural trends have significantly improved the use of a large variety of glass products in construction which, in function of their own characteristocs, allow to design and calculate structural glass elements under safety conditions. This paper presents the evaluation and analysis of the damping properties of rectangular laminated glass plates of 1.938 m x 0.876 m with different thickness depending on the number of PVB interlayers arranged. By means of numerical simulation and experimental verification, using modal analysis, natural frequencies and damping of the glass plates were calculated, both under free boundary conditions and operational conditions for the impact test equipment used in the experimental program, as the European standard UNE-EN 12600:2003 specifies.

Modifications in the Dynamic Properties of a Structure due to Human Actions

The interest for modelling of human actions acting on structures has been recurrent since the first accidents on suspension bridges in the nineteenth century such as Broughton (1831) in the U.K. or Angers (1850) in France. Stadiums, gymnasiums are other types of structure where human induced vibration is very important. In these structures a particular phenomenon appears such as the interaction personstructure (lock-in), the person-person synchronization, and the influence of the mass and damping of the people in the structural behaviour. This paper focuses on the latter topic. In order to evaluate these property modifications several tests have been carried out on a stand-alone building. For the test an electro-dynamic shaker was installed at a fixed point of the gym slab and different groups of people were located around the shaker. The dynamic characteristics of the structure without people inside have been calculated by two methods: using a three-dimensional finite element model of the building and by operational modal analysis. These calculated experimental and numerical values are the reference values used to evaluate the modifications in the dynamic properties of the structure.

Some advances in extensive bridge monitoring using low cost dynamic characterization

Dynamic measurements will become a standard for bridge monitoring in the near future. This fact will produce an important cost reduction for maintenance. US Administration has a long term intensive research program in order to diminish the estimated current maintenance cost of US$7 billion per year over 20 years. An optimal intervention maintenance program demands a historical dynamical record, as well as an updated mathematical model of the structure to be monitored. In case that a model of the structure is not actually available it is possible to produce it, however this possibility does not exist for missing measurement records from the past. Current acquisition systems to monitor structures can be made more efficient by introducing the following improvements, under development in the Spanish research Project “Low cost bridge health monitoring by ambient vibration tests using wireless sensors”: (a) a complete wireless system to acquire sensor data, (b) a wireless system that permits the localization and the hardware identification of the whole sensor system. The applied localization system has been object of a recent patent, and (c) automatization of the modal identification process, aimed to diminish human intervention. This system is assembled with cheap components and allows the simultaneous use of a large number of sensors at a low placement cost. The engineer’s intervention is limited to the selection of sensor positions, probably based on a preliminary FE analysis. In case of multiple setups, also the position of a number of fixed reference sensors has to be decided. The wireless localization system will obtain the exact coordinates of all these sensors positions. When the selection of optimal positions is difficult, for example because of the lack of a proper FE model, this can be compensated by using a higher number of measuring (also reference) points. The described low cost acquisition system allows the responsible bridge administration to obtain historical dynamic identification records at reasonable costs that will be used in future maintenance programs. Therefore, due to the importance of the baseline monitoring record of a new bridge, a monitoring test just after its construction should be highly recommended, if not compulsory.

Acciones humanas sobre estructuras

En esta tesis se propone un nuevo modelo de carga para caracterizar los saltos de personas sobre estructuras y se estudia la influencia de las personas en las propiedades dinámicas de la estructura. En el estudio del comportamiento estructural de construcciones como gimnasios, salas de baile, estadios, auditorios o pasarelas peatonales sometidas a cargas producidas por un gran número de personas, se deben tener en cuenta las fuerzas dinámicas, lo cual implica el uso de modelos de cálculo más complejos y criterios de dimensionamiento con nuevos parámetros. Por ello, es necesario determinar a qué cargas van a estar sometidas este tipo de estructuras y cómo van a cambiar cuando se encuentren ocupadas por personas. En la primera parte del trabajo se presenta el problema de considerar las fuerzas dinámicas en el análisis de estructuras. Se indican los factores que influyeron en el interés por este tipo de estudios. Se exponen los objetivos de la tesis y se propone la metodología para conseguirlos. También en esta primera parte se describe el estado del arte. Se explican los modelos existentes de carga generada por saltos de personas y se hace un repaso de los principales autores y estudios sobre este tema. Por último se exponen algunas ideas sobre las modificaciones dinámicas que provoca la presencia de las personas en las estructuras. En la segunda parte de la tesis se explica el modelo de carga de saltos propuesta en este trabajo, donde se incluye una campaña de ensayos con saltos sobre una placa de carga. Se describen las estructuras de ensayo, un gimnasio y una losa que cubre un aljibe. Se detalla la identificación de las propiedades dinámicas de las estructuras, describiendo los ensayos correspondientes y los resultados de un Análisis Operacional Modal. Por último se presenta el modelo de elementos finitos de la estructura elegida para los ensayos. En la tercera y última parte del trabajo se comprueba la validez de los modelos de carga estudiados mediante la realización de ensayos dinámicos con personas saltando y la posterior comparación de los resultados experimentales con las simulaciones numéricas. Como último resultado se estudia la influencia de las personas en las propiedades dinámicas de la estructura. Para ello se utilizan los datos obtenidos mediante un ensayo con personas pasivas. ABSTRACT In this thesis, a new load model is proposed to characterize people jumping on structures and the influence of people in the dynamic properties of the structure is studied. In the study of the structural behavior of buildings such as gymnasiums, dance halls, stadiums, auditoriums or footbridges subjected to loads generated by crowd, dynamic forces must take into account, which involves the use of more complex calculation models and dimensioning criteria with new parameters. Therefore, it is necessary to determine these dynamic loads and how structures will change when they are occupied by people. In the first part of the work the problem of considering the dynamic forces in the analysis of structures is presented. The factors that influence on the interest in this type of study are indicated. The objectives of the thesis are presented and also the proposed methodology in order to achieve them. In this first part the state of the art is described. Existing jumping load models are explained and a review of the main authors and studies on this subject is done. Finally some ideas about the dynamic changes caused by the presence of people in the structures are exposed. In the second part of the thesis the proposed jumping load model is explained, including jump tests on a force plate. Test structures, a gym and a concrete slab are described. Dynamic properties identification of the test structures is detailed with the corresponding tests and Operational Modal Analysis results. Finally, a finite element model of the structure chosen for the tests is presented. In the third part of the work, the studied jump load models are validated by performing dynamic testing with people jumping and the subsequent comparison of experimental results with numerical simulations. As a last result, the influence of people on the dynamic properties of the structure is checked. For this purpose, obtained data from a test with passive people are used.

The design of environmental test rigs

Product reliability and its environmental performance have become critical elements within a product's specification and design. To obtain a high level of confidence in the reliability of the design it is customary to test the design under realistic conditions in a laboratory. The objective of the work is to examine the feasibility of designing mechanical test rigs which exhibit prescribed dynamical characteristics. The design is then attached to the rig and excitation is applied to the rig, which then transmits representative vibration levels into the product. The philosophical considerations made at the outset of the project are discussed as they form the basis for the resulting design methodologies. It is attempted to directly identify the parameters of a test rig from the spatial model derived during the system identification process. It is shown to be impossible to identify a feasible test rig design using this technique. A finite dimensional optimal design methodology is developed which identifies the parameters of a discrete spring/mass system which is dynamically similar to a point coordinate on a continuous structure. This design methodology is incorporated within another procedure which derives a structure comprising a continuous element and a discrete system. This methodology is used to obtain point coordinate similarity for two planes of motion, which is validated by experimental tests. A limitation of this approach is that it is impossible to achieve multi-coordinate similarity due to an interaction of the discrete system and the continuous element at points away from the coordinate of interest. During the work the importance of the continuous element is highlighted and a design methodology is developed for continuous structures. The design methodology is based upon distributed parameter optimal design techniques and allows an initial poor design estimate to be moved in a feasible direction towards an acceptable design solution. Cumulative damage theory is used to provide a quantitative method of assessing the quality of dynamic similarity. It is shown that the combination of modal analysis techniques and cumulative damage theory provides a feasible design synthesis methodology for representative test rigs.