Today’s bridge design work in many cases demands a trustworthy dynamic analysis instead of using the traditional dynamic amplification factors. In this thesis a reliable 3D Bernoulli-Euler beam finite element model of the New Årsta Railway Bridge was prepared for thorough dynamic analysis using in situ bridge monitoring for correlation. The bridge is of the concrete box girder type with a heavily reinforced and prestressed bridge deck. The monitoring system was designed for long term monitoring with strain transducers embedded in the concrete and accelerometers mounted inside the edge beams and at the lower edge of the track slab. The global finite element model used the exact bridge geometry but was simplified regarding prestressing cables and the two railway tracks. The prestressing cables and the tracks were consequently not included and an equivalent pure concrete model was identified. A static macadam train load was eccentrically placed on one of the bridge’s two tracks. By using Vlasov’s torsional theory and thereby including constrained warping a realistic modulus of elasticity for the concrete without prestressing cables and stiffness contribution from the railway tracks was found. This was allowed by comparing measured strain from strain transducers with the linear elastic finite element model’s axial stresses. Mainly three monitoring bridge sections were used, each of which was modelled with plane strain finite elements subjected to sectional forces/moments from a static macadam train load and a separately calculated torsional curvature. From the identified modulus of elasticity the global finite element model was updated for Poisson’s ratio and material density (mass) to correspond with natural frequencies from the performed signal analysis of accelerometer signals. The influence of warping on the natural frequencies of the global finite element model was assumed small and the bridge’s torsional behaviour was modelled to follow Saint-Venant’s torsional theory. A first preliminary estimation of modal damping ratios was included. The results indicated that natural frequencies were in accordance between modelling and signal analysis results, especially concerning high energy modes. Estimated damping ratios for the first vibration modes far exceeded the lower limit value specified in bridge design codes and railway bridge dynamic analysis recommendations. / QC 20101124

In the light of today’s effort to achieve sustainable future of the planet, timber as building material makes a comeback on the construction market. Since the requirements on the buildings and the internal comfort increase, there is a need for finding new solutions and products; one of them is cross-laminated timber (CLT), which has the potential to be used for high-rise buildings due to its mechanical properties. The aim of this work was to study the vibration performance of CLT floors as it is often the governing factor in design of CLT structures unlike for other common building materials. The orthotropic mechanical properties of CLT were determined by the shear analogy method and verified with a finite element (FE) model of a simply supported beam compared to hand calculations of shear forces, bending moments and deflections. The properties based on Timoshenko’s approach were evaluated as less precise regarding the deflection. The non-composite structural behaviour of a steel-CLT hybrid floor structure was predicted for FE dynamic analysis based on a comparison between modelling exercise and hand calculations. Two different methods, the Concrete Society (SC) and Steel Construction Institution (SCI) methods, both seemed to be applicable for determination of the response factor first since the mechanical properties are not used as input in the calculations. These two methods differ in certain aspects, and based on FE analysis of simply supported slab even the resulting response factor for the CLT differs significantly. Moreover, the hand calculation results were similar to those of the FE analysis for the CS method, but in less agreement for the SCI method. Nevertheless, it is not recommended to reject the latter method based on this study and further studies should be performed on real structures with response factor known from on-site measurements. A part of the first floor of Canary Wharf College was modelled and analysed, and previous measurements of the frequency and response factors enabled a validation of some assumptions. The SCI approach showed to be inadequate for this type of structure and therefore only the CS method was applied further. Analysis of the floor structures supported by walls demonstrated similar results from both the measurements and the dynamic analysis. However, if the floor slab was supported by beams, the response factor was significantly overestimated although on the conservative side. This difference suggests that the modelling of such conditions are not satisfactory. The CS method appears to assess correctly the magnitude of the response factor for CLT floors supported by walls but overestimates it in case of beam supports. The first finding shall be confirmed through analysis of other structures and a more extensive research should focus on the latter one to determine more exact behaviour of the model under different conditions.

No description available.

Det byggs mer och mer med prefabricerade håldäcksbjälklag vilka har stora dimensionerings och produktionsfördelar. Långa spännvidder och lätta bjälklag gör denna typ av konstruktion känslig för vibrationer och därför ställs konstruktörer idag inför en problematik som inte tidigare vanligtvis varit en dimensionerande faktor. Som en naturlig följd av detta är kunskapen inom området begränsad och förståelsen för denna typ av konstruktion vid dynamiska problem eftersatt. Hur håldäcksbjälklag beter sig vid små dynamiska laster, från mänsklig aktivitet på bjälklaget, och hur denna typ av problematik ska hanteras beräkningsmässigt behöver studeras. Vid statiska beräkningar antas bjälklaget vara enkelspänt men vid dynamiska beräkningar kan bland annat inte detta antagande göras då effekten från elementens sammankopplingar och eventuella pågjutningar påverkar bjälklagets styvheter och därmed dess dynamiska beteende. Dynamikproblem kan inte behandlas genom att studera enskilda element då bjälkaget måste hanteras som en sammanhängande enhet där kringliggande struktur påverkar hela bjälklagets dynamiska beteende. I detta arbete har fältmätningar i en befintlig byggnad, med excitering av en mänsklig analyser för att studera hur bjälklaget kan hanteras och dynamiska responsberäkningar. Fältmätningar har genomförts på tre olika bjälklagstyper där accelerationer har studerats i en mängd olika punkter. Accelerationer i fältmitt, intill upplagsväggar, parallella väggar och balkar har studerats för att leda till slutsatser kring hur bjälklagets styvheter påverkar dess dynamiska beteende. Dessa slutsatser kring uppmätta accelerationer har sedan legat till grund modeller kan representera verkligheten på ett godtagbart sätt beträffande dynamiska problem. Finita element-beräkningar för de tre olika bjälklagen har genomförts med varierande resultat, där det kunnat konstateras att komplicerade bjälklagsgeometrier med inslag av pelare, balkar och flera fack håldäckselement är svårt att beräkningsmässigt representera på ett bra sätt. Däremot har det visat sig att enkla bjälklagsgeometrier med endast ett fack håldäckselement upplagt på betongväggar kan representeras relativt väl. Parallella väggar har kunnat konstateras fungera som upplag med accelerationer av samma storleksordning som intill upplagsväggar. Dessutom har det visat sig genom mätningar och beräkningar att en pågjutning rimligen kan antas ha en uppstyvande effekt för bjälklaget. Däremot hur stor denna uppstyvande effekt är har inte kunnat konstateras, då detta skulle kräva andra typer av mätningar.

A new modular steel floor system, named FastFloor, is proposed for commercial buildings. The system is conceptualized to be prefabricated at the shop and ready to be installed on a previously erected skeleton frame structure consisting of girders and columns or connected to core shear walls. The system configuration aims to increase the speed of design, fabrication, and erection of a steel project by eliminating concrete pouring and curing times. Other advantages include reducing the weight of the building and its carbon footprint. Several module configurations were considered and evaluated based on a series of interviews with experts in steel fabrication and erection engineering. The selection relied not only on addressing the issues related to fabrication, transportation, and erection but also on satisfying floor vibrations, as it was determined to be the governing limit state of the plate thickness, section sizes, and beam spacing due to the presence of an unstiffened bare plate acting as a slab. Observations were performed regarding fabrication sequence and transportation on the chosen configuration. The dynamic properties of the module are particularly important because DG11 was developed for composite concrete-steel floor systems, and its applicability to all steel-floor systems needs to be evaluated. In parallel, a vibration testing program was conducted to determine the dynamic properties of the module, including natural frequencies and mode shapes. Lastly, the acceptability of the modular system for floor vibrations was evaluated by both a calculation method and a modeling approach. The analysis results suggest that the module will not satisfy floor vibrations criteria, but a modified module with added stiffeners is shown to be acceptable. Upcoming tests, by others, on specimens with a raised access floor will be necessary to refine the predictions and determine if the stiffeners are actually required. / Master of Science / FastFloor is an innovative modular all-steel floor system that aims to revolutionize the construction of commercial buildings, with benefits including enhanced efficiency in design, fabrication, and erection, as well as reduced environmental impact, by eliminating the need for concrete pouring and curing and full prefabrication in shops. Several module configurations were evaluated based on insights from industry experts in steel fabrication and erection engineering. It was observed that the main challenge in the early phases was to address issues related to fabrication, transportation, and erection while ensuring optimal performance in terms of floor vibrations. This thesis project focused on a preliminary assessment of the vibration behavior of the system by conducting dynamic tests and evaluating the compatibility with the analytical and computational procedures in Design Guide 11, which is not calibrated for an all-steel system like FastFloor. Based on the results, it was concluded that the initial configuration did not fully satisfy the floor vibrations criteria. However, through further computational evaluation, a modified module, based on the initial configuration with added stiffeners, was predicted to be satisfactory. Thus, future research will continue to refine the system behavior and predictions and evaluate the contributions of Raised Access Floor to the vibration performance.

Methods of determining natural frequencies of the D76D88, B76D88, A86E93, C86G90, C86L90 and C125L89 turbine wheel designs for various environmental conditions were investigated by application of Finite Element Analysis and beam theory. Modelling and simulation methods were developed ; the first method composed of 15 finite element simulations ; the second composed of 15 finite element simulations and a set of experimental frequency survey results; the third composed of 5 simulations , an incorporated mathematical model and a set of experimental frequency survey results. Each of these methods was designed to allow prediction of resonant frequency changes across a range of exhaust gas temperature and shaft rotational speed. For the new modelling and simulation methods, an analysis template and a plotting tool were developed using Microsoft Excel and MATLAB software. A graph showing a frequency-temperature-speed variations and a Campbell Diagram that incorporates material stiffening and softening effects across a range of rotational speeds was designed, and applied to the D76D88, B76D88, A86E93, C86G90, C86L90 and C125L89 turbine wheel designs. New design methodologies for turbine wheels were formulated and validated, showing a good agreement with a range of data points from frequency survey, strain-gauge telemetry and laser tip-timing test results. The results from the new design method were compared with existing single compensation factor methodology, and showed a great improvement in accuracy of prediction of modal vibration. A new nomenclature for the mode shapes of a turbocharger’s blade was proposed, designed and demonstrated to allow direct identification of associated mode shape. It is concluded that Finite Element Analysis combined with the frequency survey is capable of predicting changes in turbine natural frequencies and, when incorporated into the existing turbine design methodology, resulted in a major improvement in the accuracy of the predictions of vibration frequency. / Additional data files have been restricted by request.

<p>  </p> <p>High cycle fatigue, regarding turbine engines, is one of the main causes of rotating component failure. Specifically, the blades of the wheels in the fan, compressor, and turbine sub-assemblies. Traditionally strain gauges are employed as a means of measuring blade vibration during component or full engine development testing. For rotating machinery, strain gauges require the use of a slip ring or a telemetry package. This becomes increasingly complicated as the number of strain gauges increase, thus the need for a more non-intrusive measurement capability for discernment of blade stress responses. Non-Intrusive Stress Measurement Systems (NSMS) allow engineers to detect high cycle fatigue (HCF) issues prior to component failure. It is important for the turbine engine industry to monitor for high cycle fatigue issues to maintain a fleet readiness. When unexpected HCF causes component or system failure the potential consequences are grounded fleets, cancelled flights, monetary loss, and loss of life. Once these issues occur an investigation is initiated and could take a few weeks to several months or more to resolve. This time impacts the engine companies as well as the people dependent upon functional engines. HCF monitoring processes and techniques are crucial to preserving fleet maintenance. One of the ways to prevent premature HCF failure is by detecting cracks in the blades or the wheels of the rotor.</p> <p>It <a href="https://hammer.purdue.edu/account/home#_msocom_1" target="_blank">[NLK1]</a> is the subject of this thesis to determine whether the static deflection of the blade as it rotates will begin to grow independent of rotational changes experienced by the rotor for an internal crack in the wheel as opposed to the blade of a rotor. Should a crack in the wheel occur, the stiffness should decrease, which would manifest when testing the rotor’s natural frequencies as a decrease in the natural frequency compared to an un-cracked rotor. The experiment was conducted using analysis tools for predicting blade natural frequencies of the pre-cracked rotor as well as physical experiments to determine the natural frequencies of the post-cracked rotor. The spin facility set up, data acquisition, data reduction, experiment details and results are provided. Both strain gauges and NSMS techniques were used to measure the natural frequencies of the rotor, and detection of damage while mounted in the spin facility. This research effort concluded it is possible to detect a crack in the wheel of a rotor using the NSMS blade stack capability. It is necessary to have a baseline vibration survey to understand the pre-damaged static deflection of each blade. This research also concluded that a comparison of the pre-cracked and post-cracked natural frequencies manifested roughly a 5% decrease. With a crack in the wheel, the expected stiffness of the wheel would decrease, thus, causing a decrease in the natural frequency of the component. This is evident in the comparison of the pre-cracked ping test data and the post-crack bench test data. In summary, it is possible to detect an internal crack of a rotor and the natural frequencies of the blades can change with an internally cracked wheel. </p>

[pt] O uso de materiais sustentáveis e os resultados das pesquisas sobre energias renováveis têm sido aplicados nas obras civis que buscam estar à vanguarda no fornecimento de sistemas construtivos novos, leves, resistentes e de baixo custo. Dentre estes materiais, o bambu é uma solução que apresenta características químicas, físicas e mecânicas compatíveis e em muitos aspectos superiores em comparação com os materiais industrializados. Pesquisas desenvolvidas no Departamento de Engenharia Civil da PUC-Rio, desde 1979, fornecem dados de caracterização do bambu como material de construção, porém estudos mais aprofundados sobre seu desempenho estrutural se fazem necessários. Neste trabalho procura-se avaliar o comportamento de uma estrutura de pórtico plano em modelo reduzido sob carregamento estático e dinâmico. Os resultados se comparam com os de um modelo reduzido em aço. O bambu ensaiado é da espécie Phyllostachys aurea, que foi estudado na PUC–Rio anteriormente. Os dados coletados em relação às propriedades físicas, mecânicas e dinâmicas se verificam usando as normas ISO-22157-1 e ISO/TR 22157-2 que existem para estabelecer as propriedades físicas e mecânicas sujeitas à carga estática. Nos pórticos de modelos reduzidos é aplicada as cargas estáticas vertical e lateral para avaliar a resposta no regime elástico e plástico, e assim, comparar ao comportamento dos materiais segundo suas propriedades, como à deformação permanente e o comportamento rígido-plástico. Na análise dinâmica, realizam-se ensaios de vibração livre aplicando deslocamento inicial, para identificar os parâmetros modais estruturais que correspondem aos valores de amortecimento coeficiente de amortecimento (igual) 1,5 por cento e coeficiente de amortecimento (igual) 2,3 por cento e frequência natural de 13 Hz e 35 Hz, em segmentos de bambu e nos modelos de pórtico respectivamente. / [en] The use of green and ecological materials in addition to the renewable energy in civil engineering are leading provider of new building systems, lightweight, durable and inexpensive are reality at the present time. Among these materials, bamboo is a solution that has some chemical, physical and mechanical properties compatible and in many cases even superior in comparison with industrialized materials. Studies carried out in the Department of Civil Engineering of PUC-Rio, since 1979, generated technical data concerning the chemical, physical and mechanical characterization of bamboo as a building material. Further studies on its structural performance in different forms and geometry are needed for establishing the method of calculation of bamboo structures. This study presents the results of an investigation for the evaluation of the behavior of a plane frame structure subjected to lateral and vertical static and only lateral dynamic loading. This work is the first investigation on the dynamic behavior of the bamboo frame, in the available technical literature. To achieve this objective and to compare the obtained results with those of a steel model, bamboo plane frame of the same scale using the species Phyllostachys aurea, was prepared. The physical and mechanical properties of the bamboo were established using ISO-22157-1, ISO/TR22157-2 recommendations for static load. In the plane frame models a static load is applied to evaluate the response in the elastic and plastic regime. In turn the obtained data are compared with those of steel plane frame. In dynamic analysis, free vibration tests were performed in bamboo segments and plane models frame applying initial displacement. The values of damping damping coefficient (equal) 1,5 percent and damping coefficient (equal) 2,3 percent and the natural frequencies of 13 Hz and 35 Hz for the segment and the bamboo portal frame models respectively were obtained.

O objetivo de colaborar com o equacionamento da problemática do crescimento populacional por meio de uma proposta viável economicamente, e com vantagens tecnológicas com vistas à durabilidade para a armazenagem de gêneros alimentícios em baixas temperaturas motivou o desenvolvimento desta pesquisa, na qual se propõe o uso do concreto como material alternativo para a construção de sistemas de guarda e conservação de alimentos. A partir de um adequado método de dosagem e da tecnologia desenvolvida pelo grupo de pesquisadores do Laboratório de Materiais Avançados à Base de Cimento, foram elaborados dois concretos diferenciados pela incorporação ou não de ar. A durabilidade do concreto para ambientes com baixas temperaturas tem sido relacionada a um sistema de vazios de ar com volume de 6 '+ OU -' 1 % e adequado espaçamento entre as bolhas de ar. O desempenho desses concretos em ambientes com baixas temperaturas foi avaliado acondicionando-os em uma câmara fria com temperatura de - 35 ± 2 graus Celsius. A sanidade dos corpos-de-prova foi monitorada por meio de ensaios não destrutivos (i.e. determinação da freqüência natural). O período de exposição foi de trinta e cinco dias, sendo que após o sétimo dia ocorreu a estabilização dos valores da freqüência natural dos corpos-de-prova. Os dois tipos de concretos ensaiados - com ar incorporado e sem ar incorporado - mostraram-se resistentes nestas condições de ensaio. Os resultados obtidos demonstram que os concretos, de acordo com o método utilizado, atendem a todos os requisitos para os quais foram projetados / The aim to collaborate with the set out of the world population increase problem, using a feasible and economical proposal, with technology advantages, destined to store foodstuff in low temperatures, motivated the development of this research, that suggests concrete as an alternative material to storage and conservation foodstuff system construction. Starting from the concrete design with an adequate method, and based on the technology developed by worker group of Laboratory of Advanced Cement Based Materials, were designed two kinds of concrete: with and without incorporated air. The durability of concrete in low temperatures environment were related to air voids system with 6 '+ OU -' 1% of air content, and to adequate spacing between air voids. The concrete behaviour in low temperatures environment was evaluated placing the specimens in a cold chamber, whose temperatures were about -35 '+ OU -' 2 Celsius degrees. The integrity of the specimens was evaluated by non-destructive method (determination of natural frequency). The exposure period of the specimens was thirty five days, but at seventh day the natural frequencies values were stabilized. Both kind of concrete were resistant in this condition. The obtained results show that concretes, in conformity to the used methodology, performed all requirement for that were designed

A clássica teoria de Euler-Bernoulli para vibrações transversais de vigas elásticas é sabido não ser adequada para vibrações de altas freqüências, como é o caso de vibração de vigas curtas. Esta teoria assume que a deflexão deve-se somente ao momento fletor, uma vez que os efeitos da inércia de rotação e da força cortante são negligenciados. Lord Rayleigh complementou a teoria clássica demonstrando a contribuição da inércia de rotação e Timoshenko estendeu a teoria ao incluir os efeitos da força cortante. A equação resultante é conhecida como sendo a que caracteriza a chamada teoria de viga de Timoshenko. Usando-se a matriz de rigidez dinâmica, as freqüências naturais e a resposta dinâmica de estruturas de barras são determinadas e comparadas de acordo com resultados de quatro modelos de vibração. São estudados o problema de vibração flexional de vigas, pórticos e grelhas, bem como o problema de fundação elástica segundo o modelo de Winkler e também a versão mais avançada que é o modelo de Pasternak. / Classical Euler-Bernoulli theory for transverse vibrations of elastic beams is known to be inadequate to consider high frequency modes which occur for short beams, for example. This theory is derived under the assumption that the deflection is only due to bending. The effects of rotary inertia and shear deformation are ignored. Lord Rayleigh improved the classical theory by considering the effect of rotary inertia. Timoshenko extended the theory to include the effects of shear deformation. The resulting equation is known as Timoshenko beam theory. The natural frequencies and dynamic reponse of framed structures are determined by using the dynamic stiffness matrix and compered according to these theories. The flexional vibration problems of beams, plane frames and grids are analysed, as well problems of elastic foundation according the well known Winkler model and also the more general Pasternak model.