In radiation therapy, it is imperative to deliver high doses of radiation to the tumor while reducing radiation to the healthy tissue. Respiratory motion is the most significant source of errors during treatment. Therefore, it is essential to accurately model respiratory motion for precise and effective radiation delivery. Many approaches exist to account for respiratory motion, such as controlled breath hold and respiratory gating, and they have been relatively successful. They still present many drawbacks. Thus, research has been expanded to tumor tracking. This paper presents a spatio-temporal model for four dimensional CT reconstruction. The method begins with a set of initial CT projections and a simultaneously acquired breathing trace. Two methods are explored to model the spatial components: principal component analysis and a pseudoinverse matrix method. An iterative approach is used to match the simulated projections to the actual projections. The simulated projections and the initial projections are evaluated using Normalized Root Mean Square Error (NRMSE). The proposed method shows simulated projections and actual projections match, and as such the model is able to accurately predict the deformation.

In the near couple years, the applications of amorphous alloys have attracted great attention due to their characteristics and future potential. This research is intended to synthesis a lighter Mg-based amorphous alloy as the imprinting materials for micro-electromechanical system (MEMS) with a high glass forming ability (GFA) and lower glass transition temperature (Tg). Also, the workability of the Mg-based metallic glasses is examined in terms of several viscous flow behaviors and parameters obtained from the thermomechanical analysis (TMA). The lighter Mg-based metallic glasses exhibit their superior glass forming ability, and can be cast into bulk metallic glasses (BMGs). Based on the thermal analysis of the Mg-Cu-Y glassy materials, the evaluation of the glass forming ability and thermal stability for searching the optimum alloy composition is conducted. By using Mg58Cu31Y11 amorphous alloy with the best composition as the micro-forming specimens, imprinting was made by hot pressing at 150oC with several applied compressive stresses to form the hexagonal micro-lens arrays. Finite element simulation using 3D Deform software is also applied to trace the microforming evolution, and to compare with the experimental observations. The results demonstrate that the imprinting is feasible and promising. On the other hand, the Mg-Cu-Gd BMGs with even better GFA than Mg-Cu-Y are explored in terms of their thermomechanical properties. Extension of this study is performed partially by Cu replacing by Ag or B for the improvement of maximum diameter and thermal stability. And the workability of these Mg-Cu-(Ag, B)-Gd metallic glasses, namely, Mg65Cu25-xAgxGd10 (x = 0, 3, 10 at %) and Mg65Cu22B3Gd10 is evaluated in terming of the thermomechanical parameters, viscous flow behavior, deformability, and the deformation model. It is found the fragility for viscous deformation would increase with the replacement of Ag or B, leading to the negative factors for the micro-forming and nano-imprinting practices. This conclusion is supported by the many extracted parameters. Thus, even the B-additive Mg based BMG has much higher hardness and Ag-additive Mg based BMG has the larger maximum rod diameter, they are more difficult to be formed, appearing as a negative factor in the micro-forming or nano-imprinting industry. The base Mg65Cu25Gd10 alloy stilly appears to be more promising than the Ag or B-containing alloys when the viscous forming is under consideration.

The present work deals with simulation methods for rigid bodies and deformable bodies. In the first chapter you can find research of some methods for simulation of rigid body physics with emphasis on method used in open source physics engine Bullet. In second chapter you can find methods for simulation of deformable bodies, again with emphasis on Bullet physics engine. In last chapter model order reduction technique is presented. This method enables to reduce system of ordinary differential equations. These equations come for example from applying finite element method to partial differential equations describing motion of elastic body. The technique is studied on bar truss systems. Powered by TCPDF (www.tcpdf.org)

The objective of this project is about a kinematic analysis of a shear zone, specifically a graben structure. The surface of the study area has also been investigated, this is to understand if a faulting reactivation has occurred due to glacial impact. The graben structure is exposed along a road cut, next to the E18 highway at Ekolsund, 14km east of Enköping. The results of the report are based on field studies of the geometrical relationship pattern of fracture planes, relative displacement along fracture and a kinematic analysis of movements along fractures. A high resolution terrain model was acquired in the analyzing of the graben structure formation and to create a geometrical 3D brittle deformation model. This model was applied to reconstruct the deformation process. The area contains a more than 1,1km long dextral NE-trending strike-slip fault feature in a polydeformed Precambrian bedrock. The fault is connected NE to one of the regional structure that delimits the bedrock blocks. The fault is visible both as a topographical feature from the ground and from aerial photos. While the project followed through it was clear that the area had been subjected to reactivation. The evidence for this claim stems from an observed semivertical fracture plane with conjugating subhorizontal striations markers that contain an alternating plunge and trend. Other evidence for a reactivation scenario is the fault gouges that contain horizontal striation as well as steep plunging striation, indicating a dip-slip faulting movement. The main zone of faulting displays lower altitude than the surrounding rock. This indicates an asymmetric graben structure that has been subjected to polydeformation. When analyzing the results, it is concluded that a pull-apart basin event has occurred. It’s highly possibly that it has been undergoing modifications during its geological history, resulting in a polydeformed reactivation of the minor faults outlining the graben structure. / Syftet med denna studie är att utföra en kinematisk analys av en förkastningszon, speciellt där en mindre graben struktur utbildats. Ytan för det studerade området är även det viktigt, det är för att förstå ifall en förkastningsreaktivering har skett i och med en glacial påverkan. Graben strukturen är blottad längs en vägskärning, utmed E18 vid Ekolsund, 14km österut om Enköping. Resultatet av rapporten är baserat på fältstudier med fokus på geometriska relationsmönster hos sprickplan, relativa förskjutningar längs sprickor och en kinematisk analys av rörelser längs sprickor. En högupplöst terrängmodell var erhållen vid analys av grabenstrukturens formation och för att skapa en 3D sprödtektonisk deformationsmodell. Modellen var tillämpad vid rekonstruering av deformationsprocessen. Området innefattar en mer än 1,1km lång dextral NO-orienterad strike-slip förkastning i en polydeformerad Prekambrisk berggrund. Förkastningen är ansluten NO till en av de regionala strukturerna som begränsar berggrundsblocken. Förkastningen är synlig både på marknivå och från flygfoton. Medan projektet fortlöpte blev det tydligare att området blivit utsatt för en reaktivering. Beläggen för detta påstående grundar sig i de observerade semi-vertikala sprickplanen med konjugerande subhorisontala striationer som har alternerande stupning och trend. Andra belägg för ett reaktiveringsscenario är de fault gouge strukturerna som innehåller horisontala striationer såväl som stupande striationer, vilket indikerar på en dip-slip förkastningsrörelse. Huvudzonen av förkastningen uppvisar lägre altitud än kringliggande bergyta. Det här indikerar en asymmetrisk graben struktur som har utsatts för polydeformation. Vid analys av resultatet, så kan det sammanfattas att en pull-apart basin förkastning har inträffat. Däremot är det mycket möjligt att zonen har undergått fler modifikationer under dess geologiska historia, vilket har resulterat i en polydeformerad reaktivering av mindre förkastningar som gett kontur dragen åt graben strukturen.

國家坐標系統是各項測量作業的基礎，而大地基準的選擇及建立更是會直接影響最後的測量成果，進一步的影響各項國家建設、民生工業以及人民的土地財產等權益。板塊運動之中尤其是非線性的板塊運動更是會改變坐標框架中參考站的相對位置，隨著時間的推移進而導致框架的幾何精度下降。而臺灣地處歐亞板塊及菲律賓海板塊的交界處，頻繁的板塊運動會造成地震、火山以及其他的自然災害，且臺灣各個區域也會因為板塊間的非線性運動而往不同的方向旋轉、位移。目前臺灣使用的坐標系統為TWD97 (Taiwan Datum 97 )，是建立於一個固定的線性框架ITRF94(The International Terrestrial Reference Frame 94)下之靜態基準，因此並不能精確的表達臺灣地區複雜的地殼變動情形，臺灣需要進行大地基準的革新以解決坐標框架變形之問題，即是在原有的靜態基準加上速度場與變形模型來改正因地殼運動造成之坐標偏移。本研究利用 2005 年至 2015 年間之臺灣地區連續運行參考站 GPS 觀測資料計算臺灣地區水平速度場情形，並參考日本、紐西蘭等國之速度模型建立方式，以內插、曲面擬合、局部加權回歸散點平滑等方法建立臺灣地區水平速度與變形模型。而臺灣地區參考站坐標解算之水平精度為 2mm-3mm、高程精度為 6mm-10mm，而速度場之年度平均標準差在 N 軸為 3.81mm，E 軸為 5.18mm。水平速度場模型方面以內插法中的線性及三次樣條內插法建立之模型有最好的精度，另外透過變形模型可以有效將地震之同震位移對坐標預測之影響消除，使速度模型之使用年限得以延長。 / National coordinate system is the foundation of surveying engineering, the establishment and the selection of geodetic datum would directly impact the accuracy of final result. Plate motion will cause earthquakes, volcanic eruptions and other natural disasters. Plate motion especially non-linear motion can also change the relationship between stations in the reference frame. Therefore, a rational and reliable reference frame is needed to ensure the Euclidean integrity quality. Taiwan is located along the bounding of the Eurasian and the Philippine plate, and is therefore a region of non-rigid motion and therefore will shift and rotate in different directions due to the changing stress field. Taiwan’s current coordinate system TWD97 is built by a fixed single term linear model ITRF94. It is not able to precisely model the non-linear motion of the crustal in the Taiwan region. Therefore, Taiwan needs velocity and deformation model to correct the distortion which caused by the crustal motion. This study used 11 years of Taiwan CORS GPS data to investigate the horizontal velocity field in Taiwan and established the horizontal velocity and deformation model by curve fitting, interpolation and LOWESS method. The horizontal coordinate accuracy of the stations is about 2mm-3mm, the vertical accuracy is about 6mm-10mm, and the average standard deviation of velocity field is 3.81mm in N axis, 5.18mm in E axis. As for velocity model, linear and cubic spline interpolations have better model accuracy. In addition, the deformation model can effectively eliminate the influence of coseismic deformation, so that the velocity model will not lose its utility.