Idoneidad del grado de rigidez de las uniones en pórticos metálicos de naves a dos aguas en edificación agroindustrial

Para el análisis de la respuesta estructural, tradicionalmente se ha partido de la suposición de que los nudos son totalmente rígidos o articulados. Este criterio facilita en gran medida los cálculos, pero no deja de ser una idealización del comportamiento real de las uniones. Como es lógico, entre los nudos totalmente rígidos y los nudos articulados existe una gama infinita de valores de rigidez que podrían ser adoptados. A las uniones que presentan un valor distinto de los canónicos se les denomina en sentido general uniones semirrígidas. La consideración de esta rigidez intermedia complica considerablemente los cálculos estructurales, no obstante provoca cambios en el reparto de esfuerzos dentro de la estructura, así como en la configuración de las propias uniones, que en ciertas circunstancias pueden suponer una ventaja económica. Del planteamiento expuesto en el párrafo anterior, surgen dos cuestiones que serán el germen de la tesis. Estas son: ¿Qué ocurre si se aplica el concepto de uniones semirrígidas a las naves industriales? ¿Existen unos valores determinados de rigidez en sus nudos con los que se logra optimizar la estructura? Así, surge el objetivo principal de la tesis, que no es otro que conocer la influencia de la rigidez de los nudos en los costes de los pórticos a dos aguas de estructura metálica utilizados típicamente en edificios de uso agroindustrial. Para alcanzar el objetivo propuesto, se plantea una metodología de trabajo que básicamente consiste en el estudio de una muestra representativa de pórticos sometidos a tres estados de carga: bajo, medio y alto. Su rango de luces abarca desde los 8 a los 20 m y el de la altura de pilares desde los 3,5 a los 10 m. Además, se considera que sus uniones pueden adoptar valores intermedios de rigidez. De la combinatoria de las diferentes configuraciones posibles se obtienen 46.656 casos que serán objeto de estudio. Debido al fin economicista del trabajo, se ha prestado especial atención a la obtención de los costes de ejecución de las diferentes partidas que componen la estructura, incluidas las correspondientes a las uniones. Para acometer los cálculos estructurales ha sido imprescindible contar con un soporte informático, tanto existente como de creación ex profeso, que permitiese su automatización en un contexto de optimización. Los resultados del estudio consisten básicamente en una cantidad importante de datos que para su interpretación se hace imprescindible tratarlos previamente. Este tratamiento se fundamenta en su ordenación sistemática, en la aplicación de técnicas estadísticas y en la representación gráfica. Con esto se obtiene un catálogo de gráficos en los que se representa el coste total de la estructura según los diferentes valores de rigidez de sus nudos, unas matrices resumen de resultados y unos modelos matemáticos que representan la función coste total - rigideces de nudos. Como conclusiones se puede destacar: por un lado que los costes totales de los pórticos estudiados son mínimos cuando los valores de rigidez de sus uniones son bajos, concretamente de 5•10³ a 10•10³ kN•m/rad; y por otro que la utilización en estas estructuras de uniones semirrígidas con una combinación idónea de sus rigideces, supone una ventaja económica media del 18% con respecto a las dos tipologías que normalmente se usan en este tipo de edificaciones como son los pórticos biempotrados y los biarticulados. ABSTRACT Analyzing for structural response, traditionally it started from the assumption that joints are fully rigid or pinned. This criterion makes the design significantly easier, but it is also an idealization of real joint behaviour. As is to be expected, there is an almost endless range of stiffnes value between fully rigid and pinned joints, wich could be adopted. Joints with a value other than traditional are referred to generally as semi-rigid joints. If middle stiffness is considered, the structural design becomes much more complicated, however, it causes changes in the distribution of frame stresses, as well as on joints configuration, that under certain circumstances they may suppose an economic advantage. Two questions arise from the approach outlined in the preceding subparagraph, wich are the seeds of the doctoral thesis. These are: what happens when the concept of semirigid joints is applied to industrial buildings? There are certain stiffness values in their joints with which optimization of frame is achieved? This way, the main objective of the thesis arise, which is to know the influence of stiffness of joints in the cost of the steel frames with gabled roof, that they are typically used in industrial buildings. In order to achieve the proposed goal, a work methodology is proposed, which consists in essence in a study of a representative sample of frames under three load conditions: low, middle and high. Their range of spans comprises from 8 to 20 m and range of the height of columns cover from 3,5 to 10 m. Furthermore, it is considered that their joints can adopt intermediate values of stiffness. The result of the combination of different configurations options is 46.656 cases, which will be subject of study. Due to the economic aim of this work, a particular focus has been devoted for obtaining the execution cost of the different budget items that make up the structure, including those relating to joints. In order to do the structural calculations, count with a computing support has been indispensable, existing and created expressly for this purpose, which would allows its automation in a optimization context. The results of the study basically consist in a important amount of data, whose previous processing is necesary. This process is based on his systematic arrangement, in implementation of statistical techniques and in graphical representation. This give a catalogue of graphics, which depicts the whole cost of structure according to the different stiffness of its joints, a matrixes with the summary of results and a mathematical models which represent the function whole cost - stiffness of the joints. The most remarkable conclusions are: whole costs of the frames studied are minimum when the stiffness values of their joints are low, specifically 5•10³ a 10•10³ kN•m/rad; and the use of structures with semi-rigid joints and a suitable combination of their stiffness implyes an average economic advantage of 18% over other two typologies which are used typically in this kind of buildings; these are the rigid and bi-articulated frames.

Respuesta estática y sísmica de gasoductos

El objetivo de esta tesis es el estudio de la respuesta estructural de los gasoductos sometidas a solicitaciones estáticas y dinámicas, enfocando prioritariamente en la respuesta sísmica. Los gasoductos, como las tuberías en general, se utilizan principalmente para la transportación de fluidos, como agua, gas o petróleo, de ahí la importancia de que el diseño y la estructura se realicen adecuadamente. La tubería debe ser capaz de soportar tanto los efectos de cargas estáticas como las debidas al peso propio o de la presión de la tierra, así como los diferentes tipos de cargas dinámicas ocurridas durante un evento sísmico, como los debidos a las ondas o el desplazamiento de fallas. En la primera parte de la tesis se describen aspectos generales de la tubería y su uso, y se da una breve historia de uso en la industria y las redes de abastecimiento urbano. Aparte de otros aspectos, se discuten las ventajas y desventajas de los diferentes materiales de las tuberías. En la segunda parte de la tesis se desarrollan las ecuaciones de equilibrio de una sección transversal de la tubería bajo cargas estáticas, tales como la presión interna, peso propio, presión de la tierra y las cargas externas. Un número de diferentes combinaciones de carga es analizado por medio de programas codificados como Matlab, los cuales se han desarrollado específicamente para este propósito. Los resultados se comparan con los obtenidos en Ansys utilizando un código de elementos finitos. En la tercera parte se presenta la respuesta dinámica de las tuberías, que abarca los efectos de las ondas y los desplazamientos de fallas. Se presentan las características relevantes del suelo como las velocidades de ondas, así como los métodos para estimar el desplazamiento máximo de las fallas. Un estudio paramétrico se emplea para ilustrar la influencia de estos parámetros en la respuesta estructural de la tubería. Con este fin se han utilizado dos métodos, el Pseudoestático y el Simplificado. En la última parte de la tesis son desarrollados los modelos de elementos finitos que permiten simular adecuadamente el comportamiento no lineal del suelo y la tubería. Los resultados se comparan con los obtenidos por un método simplificado utilizado con frecuencia que fue propuesto por Kennedy en 1977. Estudios paramétricos se presentan con el fin de examinar la validez de las hipótesis del método de Kennedy. La tesis concluye con recomendaciones que indican en qué casos los resultados obtenidos por el método de Kennedy son conservadores y cuando es preferible utilizar modelos de elementos finitos para estimar la respuesta de las tuberías durante los terremotos. ABSTRACT The subject of this thesis is the study of the structural response of pipelines subjected to static and dynamic loads with special attention to seismic design loads. Pipelines, as pipes in general, are used primarily for the transportation of fluids like water, gas or oil, hence the importance of an adequate design and structural behaviour. The pipe must be able to withstand both the effects of static loads like those due to self-weight or earth pressure as well as the different types of dynamic loads during a seismic event like those due to wave passing or fault displacements. In the first part of the thesis general aspects of pipelines and their use are described and a brief history of their usage in industry and for urban supply networks is given. Apart from other aspects, the advantages and disadvantages of different pipe materials are discussed. In the second part of the thesis the equilibrium equations of a transverse section of the pipe under static loads such as internal pressure, self-weight, earth pressure and external loads are developed. A number of different load combinations is analysed by means of programs coded in Matlab that have been specifically developed for this purpose. The results are compared to those obtained with the commercial Finite Element code Ansys. In the third part the dynamic response of pipelines during earthquakes is presented, covering the effects of passing waves and fault displacements. Relevant soil characteristics like wave propagation velocities as well as methods to estimate the maximum fault displacements are presented. A parametric study is employed to illustrate the influences of these parameters on the structural response of the pipe. To this end two methods have been used, the Pseudostatic and the Simplified method. In the last part of the thesis Finite Element models are developed which allow to adequately simulate the nonlinear behaviour of the soil and the pipe. The results are compared to those obtained by a frequently used simplified method which was proposed by Kennedy in 1977. Parametric studies are presented in order to examine the validity of the hypotheses Kennedys’ method is based on. The thesis concludes with recommendations indicating in which cases the results obtained by Kennedy’s method are conservative and when it is preferable to use Finite Element models to estimate the response of pipelines during earthquakes.

A study of the mechanical behaviour of the human aortic artery by means of non-linear finite element models

En la presente tesis desarrollamos una estrategia para la simulación numérica del comportamiento mecánico de la aorta humana usando modelos de elementos finitos no lineales. Prestamos especial atención a tres aspectos claves relacionados con la biomecánica de los tejidos blandos. Primero, el análisis del comportamiento anisótropo característico de los tejidos blandos debido a las familias de fibras de colágeno. Segundo, el análisis del ablandamiento presentado por los vasos sanguíneos cuando estos soportan cargas fuera del rango de funcionamiento fisiológico. Y finalmente, la inclusión de las tensiones residuales en las simulaciones en concordancia con el experimento de apertura de ángulo. El análisis del daño se aborda mediante dos aproximaciones diferentes. En la primera aproximación se presenta una formulación de daño local con regularización. Esta formulación tiene dos ingredientes principales. Por una parte, usa los principios de la teoría de la fisura difusa para garantizar la objetividad de los resultados con diferentes mallas. Por otra parte, usa el modelo bidimensional de Hodge-Petruska para describir el comportamiento mesoscópico de los fibriles. Partiendo de este modelo mesoscópico, las propiedades macroscópicas de las fibras de colágeno son obtenidas a través de un proceso de homogenización. En la segunda aproximación se presenta un modelo de daño no-local enriquecido con el gradiente de la variable de daño. El modelo se construye a partir del enriquecimiento de la función de energía con un término que contiene el gradiente material de la variable de daño no-local. La inclusión de este término asegura una regularización implícita de la implementación por elementos finitos, dando lugar a resultados de las simulaciones que no dependen de la malla. La aplicabilidad de este último modelo a problemas de biomecánica se estudia por medio de una simulación de un procedimiento quirúrgico típico conocido como angioplastia de balón. In the present thesis we develop a framework for the numerical simulation of the mechanical behaviour of the human aorta using non-linear finite element models. Special attention is paid to three key aspects related to the biomechanics of soft tissues. First, the modelling of the characteristic anisotropic behaviour of the softue due to the collagen fibre families. Secondly, the modelling of damage-related softening that blood vessels exhibit when subjected to loads beyond their physiological range. And finally, the inclusion of the residual stresses in the simulations in accordance with the opening-angle experiment The modelling of damage is addressed with two major and different approaches. In the first approach a continuum local damage formulation with regularisation is presented. This formulation has two principal ingredients. On the one hand, it makes use of the principles of the smeared crack theory to avoid the mesh size dependence of the structural response in softening. On the other hand, it uses a Hodge-Petruska bidimensional model to describe the fibrils as staggered arrays of tropocollagen molecules, and from this mesoscopic model the macroscopic material properties of the collagen fibres are obtained using an homogenisation process. In the second approach a non-local gradient-enhanced damage formulation is introduced. The model is built around the enhancement of the free energy function by means of a term that contains the referential gradient of the non-local damage variable. The inclusion of this term ensures an implicit regularisation of the finite element implementation, yielding mesh-objective results of the simulations. The applicability of the later model to biomechanically-related problems is studied by means of the simulation of a typical surgical procedure, namely, the balloon angioplasty.

Experience and lessons learnt from the SMART 2013 Benchmark

The French CEA, together with EDF and the IAEA, recently organised an international benchmark to evaluate the ability to model the mechanical behaviour of a typical nuclear reinforced concrete structure subjected to seismic demands. The participants were provided with descriptions of the structure and the testing campaign; they had to propose the numerical model and the material laws for the concrete (stage #1). A mesh of beam and shell elements was generated; for modelling the concrete a damaged plasticity model was used, but a smeared crack model was also investigated. Some of the initial experimental results, with the mock-up remaining in the elastic range, were provided to the participants for calibrating their models (stage #2). Predictions had to be produced in terms of eigen-frequencies and motion time histories. The calculated frequencies reproduced reasonably the experimental ones; the time histories, calculated by modal response analysis, also reproduced adequately the observed amplifications. The participants were then expected to predict the structural response under strong ground motions (stage #3), which increased progressively up to a history recorded during the 1994 Northridge earthquake, followed by an aftershock. These results were produced using an explicit solver and a damaged plasticity model for the concrete, although an implicit solver with a smeared crack model was also investigated. The paper presents the conclusions of the pre-test exercise, as well as some observations from additional simulations conducted after the experimental results were made available.

Structure and function in rhodopsin: Rhodopsin mutants with a neutral amino acid at E134 have a partially activated conformation in the dark state*

The Glu-134–Arg-135 residues in rhodopsin, located near the cytoplasmic end of the C helix, are involved in G protein binding, or activation, or both. Furthermore, the charge-neutralizing mutation Glu-134 to Gln-134 produces hyperactivity in the activated state and produces constitutive activity in opsin. The Glu/Asp-Arg charge pair is highly conserved in equivalent positions in other G protein-coupled receptors. To investigate the structural consequences of charge-neutralizing mutations at Glu-134 and Arg-135 in rhodopsin, single spin-labeled side chains were introduced at sites in the cytoplasmic domains of helices C (140), E (227), F (250), or G (316) to serve as “molecular sensors” of the local helix bundle conformation. In each of the spin-labeled rhodopsins, a Gln substitution was introduced at either Glu-134 or Arg-135, and the electron paramagnetic resonance spectrum of the spin label was used to monitor the structural response of the helix bundle. The results indicate that a Gln substitution at Glu-134 induces a photoactivated conformation around helices C and G even in the dark state, an observation of potential relevance to the hyperactivity and constitutive activity of the mutant. In contrast, little change is induced in helix F, which has been shown to undergo a dominant motion upon photoactivation. This result implies that the multiple helix motions accompanying photoactivation are not strongly coupled and can be induced to take place independently. Gln substitution at Arg-135 produces only minor structural changes in the dark- or light-activated conformation, suggesting that this residue is not a determinant of structure in the regions investigated, although it may be functionally important.

Lateral instability of slender reinforced concrete columns in a fire environment

The research concerns the development and application of an analytical computer program, SAFE-ROC, that models material behaviour and structural behaviour of a slender reinforced concrete column that is part of an overall structure and is subjected to elevated temperatures as a result of exposure to fire. The analysis approach used in SAFE-RCC is non-linear. Computer calculations are used that take account of restraint and continuity, and the interaction of the column with the surrounding structure during the fire. Within a given time step an iterative approach is used to find a deformed shape for the column which results in equilibrium between the forces associated with the external loads and internal stresses and degradation. Non-linear geometric effects are taken into account by updating the geometry of the structure during deformation. The structural response program SAFE-ROC includes a total strain model which takes account of the compatibility of strain due to temperature and loading. The total strain model represents a constitutive law that governs the material behaviour for concrete and steel. The material behaviour models employed for concrete and steel take account of the dimensional changes caused by the temperature differentials and changes in the material mechanical properties with changes in temperature. Non-linear stress-strain laws are used that take account of loading to a strain greater than that corresponding to the peak stress of the concrete stress-strain relation, and model the inelastic deformation associated with unloading of the steel stress-strain relation. The cross section temperatures caused by the fire environment are obtained by a preceding non-linear thermal analysis, a computer program FIRES-T.

Parametric study of the behaviour of reinforced concrete columns in fire

The research is concerned with the application of the computer simulation technique to study the performance of reinforced concrete columns in a fire environment. The effect of three different concrete constitutive models incorporated in the computer simulation on the structural response of reinforced concrete columns exposed to fire is investigated. The material models differed mainly in respect to the formulation of the mechanical properties of concrete. The results from the simulation have clearly illustrated that a more realistic response of a reinforced concrete column exposed to fire is given by a constitutive model with transient creep or appropriate strain effect The assessment of the relative effect of the three concrete material models is considered from the analysis by adopting the approach of a parametric study, carried out using the results from a series of analyses on columns heated on three sides which produce substantial thermal gradients. Three different loading conditions were used on the column; axial loading and eccentric loading both to induce moments in the same sense and opposite sense to those induced by the thermal gradient. An axially loaded column heated on four sides was also considered. The computer modelling technique adopted separated the thermal and structural responses into two distinct computer programs. A finite element heat transfer analysis was used to determine the thermal response of the reinforced concrete columns when exposed to the ISO 834 furnace environment. The temperature distribution histories obtained were then used in conjunction with a structural response program. The effect of the occurrence of spalling on the structural behaviour of reinforced concrete column is also investigated. There is general recognition of the potential problems of spalling but no real investigation into what effect spalling has on the fire resistance of reinforced concrete members. In an attempt to address the situation, a method has been developed to model concrete columns exposed to fire which incorporates the effect of spalling. A total of 224 computer simulations were undertaken by varying the amounts of concrete lost during a specified period of exposure to fire. An array of six percentages of spalling were chosen for one range of simulation while a two stage progressive spalling regime was used for a second range. The quantification of the reduction in fire resistance of the columns against the amount of spalling, heating and loading patterns, and the time at which the concrete spalls appears to indicate that it is the amount of spalling which is the most significant variable in the reduction of fire resistance.

Medium change monitoring using ambient seismic noise and coda wave interferometry: examples from intraplate NE Brazil and the Mid-Atlantic Ridge

This thesis presents and discusses the results of ambient seismic noise correlation for two different environments: intraplate and Mid-Atlantic Ridge. The coda wave interferometry method has also been tested for the intraplate data. Ambient noise correlation is a method that allows to retrieve the structural response between two receivers from ambient noise records, as if one of the station was a virtual source. It has been largely used in seismology to image the subsurface and to monitor structural changes associated mostly with volcanic eruptions and large earthquakes. In the intraplate study, we were able to detect localized structural changes related to a small earthquake swarm, which main event is mR 3.7, North-East of Brazil. We also showed that the 1-bit normalization and spectral whitening result on the loss of waveform details and that the phase auto-correlation, which is amplitude unbiased, seems to be more sensitive and robust for our analysis of a small earthquake swarm. The analysis of 6 months of data using cross-correlations detect clear medium changes soon after the main event while the auto-correlations detect changes essentially after 1 month. It could be explained by fluid pressure redistribution which can be initiated by hydromechanical changes and opened path ways to shallower depth levels due to later occurring earthquakes. In the Mid-Atlantic Ridge study, we investigate structural changes associated with a mb 4.9 earthquake in the region of the Saint Paul transform fault. The data have been recorded by a single broadband seismic station located at less than 200 km from the Mid-Atlantic ridge. The results of the phase auto-correlation for a 5-month period, show a strong co-seismic medium change followed by a relatively fast post-seismic recovery. This medium change is likely related to the damages caused by the earthquake’s ground shaking. The healing process (filling of the new cracks) that lasted 60 days can be decomposed in two phases, a fast recovery (70% in ~30 days) in the early post-seismic stage and a relatively slow recovery later (30% in ~30 days). In the coda wave interferometry study, we monitor temporal changes of the subsurface caused by the small intraplate earthquake swarm mentioned previously. The method was first validated with synthetics data. We were able to detect a change of 2.5% in the source position and a 15% decrease of the scatterers’ amount. Then, from the real data, we observed a rapid decorrelation of the seismic coda after the mR 3.7 seismic event. This indicates a rapid change of the subsurface in the fault’s region induced by the earthquake.

Medium change monitoring using ambient seismic noise and coda wave interferometry: examples from intraplate NE Brazil and the Mid-Atlantic Ridge

This thesis presents and discusses the results of ambient seismic noise correlation for two different environments: intraplate and Mid-Atlantic Ridge. The coda wave interferometry method has also been tested for the intraplate data. Ambient noise correlation is a method that allows to retrieve the structural response between two receivers from ambient noise records, as if one of the station was a virtual source. It has been largely used in seismology to image the subsurface and to monitor structural changes associated mostly with volcanic eruptions and large earthquakes. In the intraplate study, we were able to detect localized structural changes related to a small earthquake swarm, which main event is mR 3.7, North-East of Brazil. We also showed that the 1-bit normalization and spectral whitening result on the loss of waveform details and that the phase auto-correlation, which is amplitude unbiased, seems to be more sensitive and robust for our analysis of a small earthquake swarm. The analysis of 6 months of data using cross-correlations detect clear medium changes soon after the main event while the auto-correlations detect changes essentially after 1 month. It could be explained by fluid pressure redistribution which can be initiated by hydromechanical changes and opened path ways to shallower depth levels due to later occurring earthquakes. In the Mid-Atlantic Ridge study, we investigate structural changes associated with a mb 4.9 earthquake in the region of the Saint Paul transform fault. The data have been recorded by a single broadband seismic station located at less than 200 km from the Mid-Atlantic ridge. The results of the phase auto-correlation for a 5-month period, show a strong co-seismic medium change followed by a relatively fast post-seismic recovery. This medium change is likely related to the damages caused by the earthquake’s ground shaking. The healing process (filling of the new cracks) that lasted 60 days can be decomposed in two phases, a fast recovery (70% in ~30 days) in the early post-seismic stage and a relatively slow recovery later (30% in ~30 days). In the coda wave interferometry study, we monitor temporal changes of the subsurface caused by the small intraplate earthquake swarm mentioned previously. The method was first validated with synthetics data. We were able to detect a change of 2.5% in the source position and a 15% decrease of the scatterers’ amount. Then, from the real data, we observed a rapid decorrelation of the seismic coda after the mR 3.7 seismic event. This indicates a rapid change of the subsurface in the fault’s region induced by the earthquake.

Algoritmos de otimização e o problema inverso aplicados à identificação de danos estruturais com o uso do MEF

Dissertação (mestrado)—Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Civil e Ambiental, 2015.

ADVANCED COMPUTATIONAL MODELING OF THE INTERNAL STRUCTURE OF SMART WIND-TURBINE BLADES

Implementation of stable aeroelastic models with the ability to capture the complex features of Multi concept smartblades is a prime step in reducing the uncertainties that come along with blade dynamics. The numerical simulations of fluid structure interaction can thus be used to test a realistic scenarios comprising of full-scale blades at a reasonably low computational cost. A code which was a combination of two advanced numerical models was designed and was run with the help of paralell HPC supercomputer platform. The first model was based on a variation of dimensional reduction technique proposed by Hodges and Yu. This model was the one to record the structural response of heterogenous composite blades. This technique reduces the geometrical complexities of the heterogenous blade section into a stiffness matrix for an equivalent beam. This derived equivalent 1-D strain energy matrix is similar to the actual 3-D strain energy matrix in an asymptotic sense. As this 1-D matrix helps in accurately modeling the blade structure as a 1-D finite element problem, this substantially redues the computational effort and subsequently the computational cost that are required to model the structural dynamics at each step. Second model comprises of implementation of the Blade Element Momentum Theory. In this approach we map all the velocities and the forces with the help of orthogonal matrices that help in capturing the large deformations and the effects of rotations in calculating the aerodynamic forces. This ultimately helps us to take into account the complex flexo torsional deformations. In this thesis we have succesfully tested these computayinal tools developed by MTU’s research team lead by for the aero elastic analysis of wind-turbine blades. The validation in this thesis is majorly based on several experiments done on NREL-5MW blade, as this is widely accepted as a benchmark blade in the wind industry. Along with the use of this innovative model the internal blade structure was also changed to add up to the existing benefits of the already advanced numerical models.

Analysis of the failure of cracked biscuits

Cracks or checks in biscuits weaken the material and cause the product to break at low load levels that are perceived as injurious to product quality. In this work, the structural response of circular digestive biscuits, with diameter 72 mm and thickness 7.2 mm, simply supported around the circumference and loaded by a central concentrated force was investigated by experiment and theory. Tests were conducted to quantify the distribution in breakage strength for structurally sound biscuits, biscuits with natural checks and biscuits with a single known part-through crack. For sound biscuits the breakage force is Normally distributed with a mean of 12.5 N and standard deviation of 1.2 N. For biscuits with checks, the corresponding statistics are 9.6 N ± 2.62 N respectively. The presence of a crack weakens the biscuit and strength, as measured by breakage force falls almost linearly with crack length and crack depth. The orientation of the crack, whether radial or tangential, and its location (i.e. position of the crack mid-point on the biscuit surface) are also important. Deep, radial, cracks located close to the biscuit centre can reduce the strength by up to 50%. Two separate failure criteria were examined for sound and cracked biscuits respectively. The results from these tests were in good accord with theory. For a biscuit without defects, breakage occurred when maximum biscuit stress reached or exceeded the failure stress of 420 kPa. For a biscuit with cracks, breakage occurred as above or alternatively when its critical stress intensity factor of 18 kPam0.5 was reached.

Frequency response function based structural damage detection using artificial neural networks

Damage detection in structures has become increasingly important in recent years. While a number of damage detection and localization methods have been proposed, few attempts have been made to explore the structure damage with frequency response functions (FRFs). This paper illustrates the damage identification and condition assessment of a beam structure using a new frequency response functions (FRFs) based damage index and Artificial Neural Networks (ANNs). In practice, usage of all available FRF data as an input to artificial neural networks makes the training and convergence impossible. Therefore one of the data reduction techniques Principal Component Analysis (PCA) is introduced in the algorithm. In the proposed procedure, a large set of FRFs are divided into sub-sets in order to find the damage indices for different frequency points of different damage scenarios. The basic idea of this method is to establish features of damaged structure using FRFs from different measurement points of different sub-sets of intact structure. Then using these features, damage indices of different damage cases of the structure are identified after reconstructing of available FRF data using PCA. The obtained damage indices corresponding to different damage locations and severities are introduced as input variable to developed artificial neural networks. Finally, the effectiveness of the proposed method is illustrated and validated by using the finite element modal of a beam structure. The illustrated results show that the PCA based damage index is suitable and effective for structural damage detection and condition assessment of building structures.

Structural damage detection using frequency response functions and neural networks

This paper illustrates the damage identification and condition assessment of a three story bookshelf structure using a new frequency response functions (FRFs) based damage index and Artificial Neural Networks (ANNs). A major obstacle of using measured frequency response function data is a large size input variables to ANNs. This problem is overcome by applying a data reduction technique called principal component analysis (PCA). In the proposed procedure, ANNs with their powerful pattern recognition and classification ability were used to extract damage information such as damage locations and severities from measured FRFs. Therefore, simple neural network models are developed, trained by Back Propagation (BP), to associate the FRFs with the damage or undamaged locations and severity of the damage of the structure. Finally, the effectiveness of the proposed method is illustrated and validated by using the real data provided by the Los Alamos National Laboratory, USA. The illustrated results show that the PCA based artificial Neural Network method is suitable and effective for damage identification and condition assessment of building structures. In addition, it is clearly demonstrated that the accuracy of proposed damage detection method can also be improved by increasing number of baseline datasets and number of principal components of the baseline dataset.

Structural damage identification with noise polluted Frequency Response Functions (FRFs)

Damage detection in structures has become increasingly important in recent years. While a number of damage detection and localization methods have been proposed, very few attempts have been made to explore the structure damage with noise polluted data which is unavoidable effect in real world. The measurement data are contaminated by noise because of test environment as well as electronic devices and this noise tend to give error results with structural damage identification methods. Therefore it is important to investigate a method which can perform better with noise polluted data. This paper introduces a new damage index using principal component analysis (PCA) for damage detection of building structures being able to accept noise polluted frequency response functions (FRFs) as input. The FRF data are obtained from the function datagen of MATLAB program which is available on the web site of the IASC-ASCE (International Association for Structural Control– American Society of Civil Engineers) Structural Health Monitoring (SHM) Task Group. The proposed method involves a five-stage process: calculation of FRFs, calculation of damage index values using proposed algorithm, development of the artificial neural networks and introducing damage indices as input parameters and damage detection of the structure. This paper briefly describes the methodology and the results obtained in detecting damage in all six cases of the benchmark study with different noise levels. The proposed method is applied to a benchmark problem sponsored by the IASC-ASCE Task Group on Structural Health Monitoring, which was developed in order to facilitate the comparison of various damage identification methods. The illustrated results show that the PCA-based algorithm is effective for structural health monitoring with noise polluted FRFs which is of common occurrence when dealing with industrial structures.