Heavy crushing machines under their production shifts, creates various levels of vibration, noise and dynamic forces which can be transferred to other parts of the industrial unit. Such kind of factors applies continuous forces on machine parts which can cause gradual fatigue, creep and eventually failure of machine. In this thesis work we are studying Jaw crusher machine from Sandvik company, since the company has a high focus on safety and quality, this thesis is aiming to estimate the dynamic foundation loads that are transmitted to substructure of the jaw crusher. The thesis is based on estimating power spectral density transmissibility matrix-single value decomposition (PSDTM-SVD), between jaw crusher foot (CRF), side wall (SW) and substructure (SS) in x, y, z positions to identify model parameters including damped eigenfrequencies and mode shapes. This research has concluded that it is possible to estimate the transmitted load force by finding the relation between displacement transmissibility and force transmissibility by employing (PSDTM-SVD) method. In fact (PSDTM-SVD) is a sufficient method to estimate the damped eigenfrequencies and mode shapes during operation.  Nevertheless, it is majorly important to have good coherence between measured data, in this case data that have been conducted in Y direction had a good coherence of 0.9.

Under the direction of the Federal Highway Administration the Long Term Bridge Performance Program (LTBP) selected Minnesota Bridge number 5718 as a pilot bridge for evaluation. This program focuses on the monitoring of bridges for a 20-year period to understand the structural behavior over time due to the various loads and weathering. In monitoring this bridge a better understanding can be acquired for the maintenance issues related to the nation's deteriorating bridge infrastructure. Bridge Number 5718, which is located just outside of Sandstone Minnesota, is a steel truss bridge that spans the Kettle River. Constant monitoring of the bridge along with periodic testing of the bridge will allow for the collection of data over a 20-year period. The focus of this work is to establish a baseline for the bridges characteristics through nondestructive dynamic testing. Later tests will be compared to these results and changes can then be tracked. In order to perform the required testing, two electromagnetic shakers were used to produce the excitation. The bridge was also outfitted with an array of velocity transducers to allow for the response to be recorded. The data was then used to extract the resonant frequencies, mode shapes, and damping ratios. A modal assurance criterion was also performed to solidify the findings. These parameters define the structural identity of the bridge. Through performing these tests the database that is being collected under the Long Term Bridge Performance Program will be used to better the overall health and safety of the nation's bridges.

abstract: One of the fundamental aspects of cellular material design is cell shape selection. Of particular interest is how this selection can be made in the context of a realistic three-dimensional structure. Towards this goal, this work studied the stiffness response of periodic and stochastic lattice structures for the loading conditions of bending, torsion and tension/compression using commercially available lattice design optimization software. The goal of this computational study was to examine the feasibility of developing a ranking order based on minimum compliance or maximum stiffness for enabling cell selection. A study of stochastic shapes with different seeds was also performed. Experimental compression testing was also performed to validate a sample space of the simulations. The findings of this study suggest that under certain circumstances, stochastic shapes have the potential to generate the highest stiffness-to-weight ratio in the test environments considered. / Dissertation/Thesis / Masters Thesis Mechanical Engineering 2019

I call my project COLORUM - A ceramic investigation of form in relation to balance and spatiality. Colorum means colors in Latin. Dividing the word, color from English, and rum is space in Swedish. I have investigated the ceramic process through basic geometric shapes. Trying to understand, learn, feel and master the material. Work with and against it, control, and let go of control. I have been working with casting techniques and exploring the primary forms, challenging the material, pushing the clay norms to their edge. By relating to geometry, I defy myself to create these precise forms in ceramics. I combine soft, colorful glazes on the surface with a strict body that creates a juxtaposition that opposes each other. The journey continued by challenging the precise forms through gravity movement creating imploding bodies. I'm curious about the dialogue and the meeting between different expressions in shapes, material, and volumes.

Kerr metric is one of the most well-known and useful exact solutions of Einstein equations. We study various geometric properties of the Kerr spacetime in order to gain intuition for its spatial shape. In the review part we summarize basic features of the Kerr geometry, we write down Carter equations for geodesic motion in the Kerr spacetime, and we introduce kinematic characteristics of time-like and light-like congruences, such as expansion, shear and twist. In the second part of the thesis we calculate scalars for acceleration, expansion, shear and twist - and plot the corresponding "equipotential" surfaces - for several privi- leged congruences, namely the Carter observers, the static observers, the zero-angular- momentum observers, the principal null congruence and the recently found non-twisting null congruence(s). We also draw surfaces radially equidistant from the horizon and sur- faces spatially orthogonal to the PNC and to the twist-free congruences, as well as the surfaces of constant energy and redshift for the important time-like congruences. 1

What do we see when we look at writing? In addition to the verbal messages conveyed by the written words, visual dimensions of script are powerful tools that hold semantic value. This dissertation focuses on one such visual element—the arrangement of written words into geometric shapes or patterns in the context of medieval Islamicate societies (1100–1250 AD)—to uncover its meanings. The dissertation offers a primary case study of the Kitāb al-diryāq (Book of Antidotes, 595 AH/1199 AD, BnF arabe 2964), an illuminated and illustrated manuscript with a variety of geometric patterns created using Arabic script. By examining a broad range of materials (scientific manuscripts, magical objects, and architectural decoration) across Late Antiquity and the medieval period, this heuristic study argues that the arrangement of script in geometric patterns was a vital medium of visualizing knowledge and transmitting knowledge—the form not only carrying cultural meanings but also shaping the reception of verbal messages. Magic is one form of knowledge that is particularly fruitful for examining the function of the geometric script patterns in general, and of the Kitāb al-diryāq in particular. This study traces the contexts in which the geometric script patterns appear, the cultural practices associated with them, and the medieval worldviews in which the patterns circulated. In considering these factors, the study argues that the combination of shape and script is embedded with knowledge that reflects the medieval scientific, magical, and popular imagination. / Graduate / 2023-06-23

This is a study that aims to challenge conventional garment construction through the use of a design method, based on using non-body-related shapes as a starting point to create wearable hybrids. The idea behind this project was to find ways to create inclusive and alternative ways of dressing by creating garments that allow all body types to interact with the garments dynamically and allow each body to create a unique interplay with them.

Syftet med detta arbete är att skapa en bild av hur bostäder och boende såg ut under den tidigaste järnåldern i Grekland. Arbetet avgränsar sig till åtta platser spridda över hela Greklands fastland. Arbetets huvudsakliga källmaterial är lämningar och lösfynd som daterats till den protogeometriska perioden (1050–900 f.v.t.). Arbetet grundar sig i en teoretisering av bostädersom utrymmen där människor utför aktiviteter och skapar rutiner. Huvudsakligen tillämpas kvantitativa och kvalitativa undersökningar av källmaterialet, samt matematiska beräkningar, för att utröna mönster som kan besvara frågeställningarna. Arbetet rör sig gradvis från en undersökning av konkreta aspekter av boende, som de fysiska konstruktionsdragen på husen, mot en undersökning och spekulativ diskussion om mer abstrakta aspekter, som rutiner och hushållsstorlekar. Arbetet producerar resultat för vilka drag som var vanliga för protogeometriska hus och producerar möjliga svar på frågeställningarna om vanliga aktiviteter och möjliga hushållsstorlekar. / The aim of this essay is to create an image of what the dwellings and indoor daily life may have looked like in the earliest period of the Greek Iron Age. The source material for the essay consists of remains of buildings, as well as loose finds, dated to the protogeometric period (1050–900 B.C.E.), from eight different places in mainland Greece. The theoretical basis for the essay is a view of a dwelling as a place where people are active and form routines. Quantitative and qualitative methods are applied in different parts of the essay. A mathematical method is also applied for one of the research questions. The essay gradually moves from a grounded approach of studying physical remains and noting patterns in construction, to a more abstract approach of attempting to picture routines and potential household sizes. The essay successfully produces results for the patterns of material and form, and possibly produces results regarding common activities and household sizes.

In order to investigate the formation of different types of pit shapes on the crystalline surfaces, a mathematical model has been considered, which does not take into account surface diffusion and which defines the removal or transformation of different characteristic sites on the surface according to a set of frequencies. The characteristic sites are defined according to Terrace-Ledge-Kink model for the simple cubic crystal. With the help of the geometry of the step systems, specific conditions have been obtained under which the step systems considered could be obtained for a pit of monoatomic thickness. The dissolution of a simple cubic crystal has been simulated according to a set of probabilities. / Thesis / Master of Engineering (ME)

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