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Academic literature on the topic 'Parallelogram'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 May 2022

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Journal articles on the topic "Parallelogram"

1

Bae, Sang Won. "On the Minimum-Area Parallelogram Annulus Problem." Symmetry 14, no. 2 (February 11, 2022): 359. http://dx.doi.org/10.3390/sym14020359.

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The minimum-area parallelogram annulus problem is studied, in which one wants to compute a parallelogram annulus of minimum area that includes n input points in the plane. Extending an usual, doughnut-shaped circular annulus, a parallelogram annulus is defined to be a region between two edge-parallel parallelograms. As a parallelogram has two distinct orientations for its sides, so does a parallelogram annulus as well. In this paper, several variants of the problem are considered: (1) when both side orientations are given and fixed, (2) when one of them is fixed and the other can be freely chosen, (3) when the interior angles of the resulting parallelogram annulus is given and fixed, and (4) when both side orientations can be chosen arbitrarily. The first and efficient algorithms for each of these cases are presented, whose running times are (1) O(n), (2) O(n2logn), (3) O(n2logn), and (4) O(n4+ϵ), respectively. Further, bicriteria variants of the problem are considered, in which both width and area of the resulting parallelogram annulus are simultaneously minimized. In order to obtain these new algorithms, geometric observations, newly obtained in this paper and known in previous papers, and the symmetric nature of parallelograms and parallelogram annuli are exploited.

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Toumasis, Charalmpos. "When Is a Quadrilateral a Parallelogram?" Mathematics Teacher 87, no. 3 (March 1994): 208–11. http://dx.doi.org/10.5951/mt.87.3.0208.

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In most high school geometry textbooks the subject of parallelograms is usually treated in the following manner. First the definition is given: “A quadrilateral in which the opposite sides are parallel is called a parallelogram.” After this definition, some properties of parallelograms are mentioned that can serve as criteria for determining when a quadrilateral is a parallelogram.

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Salgado, Oscar, Oscar Altuzarra, Enrique Amezua, and Alfonso Hernández. "A Parallelogram-Based Parallel Manipulator for Schönflies Motion." Journal of Mechanical Design 129, no. 12 (December 28, 2006): 1243–50. http://dx.doi.org/10.1115/1.2779898.

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A parallelogram-based 4 degrees-of-freedom parallel manipulator is presented in this paper. The manipulator can generate the so-called Schönflies motion that allows the end effector to translate in all directions and rotate around an axis parallel to a fixed direction. The theory of group of displacements is applied in the synthesis of this manipulator, which employs parallelograms in every limb. The planar parallelogram kinematic chain provides a high rotational capability and an improved stiffness to the manipulator. This paper shows the kinematic analysis of the manipulator, including the closed-form resolution of the forward and inverse position problems, the velocity, and the singularity analysis. Finally, a prototype of the manipulator, adding some considerations about its singularity-free design, and some technical applications in which the manipulator can be used are presented.

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Shurtleff, Richard. "Parallelogram space." General Relativity and Gravitation 27, no. 5 (May 1995): 495–509. http://dx.doi.org/10.1007/bf02105075.

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Zhang, Li Nan, Shu Xin Wang, Jian Min Li, and Jin Hua Li. "Design of a Master Manipulator with Dynamical Simplification for Master-Slave Robot." Applied Mechanics and Materials 418 (September 2013): 3–9. http://dx.doi.org/10.4028/www.scientific.net/amm.418.3.

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Dynamic behavior is an important factor to affect the performance of surgical robot, especially force-feedback master manipulator. In this paper, a force-feedback master manipulator with parallelogram is developed, which can realize self-gravity balance; Compare the dynamics of the force-feedback master manipulator with parallelogram mechanism and another one without parallelogram mechanism. The result shows that the dynamical equation of the master manipulator with parallelogram mechanism is simpler than the one without parallelogram mechanism. This parallelogram mechanism can be generally used in all the mechanical design that is needed to simplify the dynamics.

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Chao, Wu Wei, and Li Zhou. "Parallelogram Circumcenters: 10874." American Mathematical Monthly 109, no. 7 (August 2002): 669. http://dx.doi.org/10.2307/3072446.

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Boussicault, Adrien, and Patxi Laborde-Zubieta. "Periodic parallelogram polyominoes." Electronic Notes in Discrete Mathematics 59 (June 2017): 177–88. http://dx.doi.org/10.1016/j.endm.2017.05.013.

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Yuan, Liping, Yuqin Zhang, and Ren Ding. "Trisecting a parallelogram." Applied Mathematics-A Journal of Chinese Universities 17, no. 3 (September 2002): 307–12. http://dx.doi.org/10.1007/s11766-002-0009-7.

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Wang, Feng Hui, Qian Liu, and Hai Ming Wang. "Clamp Equipment Design and Motion Analysis with ANSYS for Large Cylindrical Segment." Applied Mechanics and Materials 197 (September 2012): 110–13. http://dx.doi.org/10.4028/www.scientific.net/amm.197.110.

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In this research, a kind of clamp for large cylindrical segment slinging and transportation was designed. Instead of the traditional theory that based of friction to slinging and transport, a new designing method that slinging cylindrical segment by grasping double hooks was taken in this research. Parallelogram structure was used to keep the clamp synchronous and horizontal movement. The design process is that Using principles of Parallelogram structure, Parallelogram structure is initially established. Parallelogram structure Motion analysis function of the ANSYS software was used to analyze the motion status of this parallelogram structure under the load. Ensure rationality of design.

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Griffiths, A. Fuzz, and Qasim Zaidi. "Perceptual Assumptions and Projective Distortions in a Three-Dimensional Shape Illusion." Perception 29, no. 2 (February 2000): 171–200. http://dx.doi.org/10.1068/p3013.

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We examine a shape illusion, in which the balconies of a building appear to tilt up or down, depending on the viewpoint. The balconies are actually level parallelogram shapes, but appear as tilted rectangles. We measured the illusory tilts observed when parallelogram shapes are viewed above the line of sight, using three-dimensional stimuli consisting of parallelograms of various tilts viewed at different orientations. Under perspective projection, parallelism and orthogonality are not preserved. However, perspective distortions alone cannot account for the perceived tilts measured in these experiments, since observers perceived illusory tilts even for stimuli in the frontoparallel plane. We introduce a model, based on the theory that observers assume ambiguously projected three-dimensional angles to be equal to 90°, but revise their predictions on the basis of observation. In the model, perceived tilt is predicted as a weighted sum of the tilts predicted by the assumptions that the shape is rectangular, and that the shape is level (ie that the angle between the shape and the vertical backboard is equal to 90°). We prove that it is mathematically impossible for a planar rectangle to share a projection with a nonrectangular parallelogram. A less restrictive assumption that just the two leading internal angles are equal to 90° is suggested as an alternative, and it is further proven that this new configuration of angles leads to a unique perceived tilt. The relative weights in the model reflect the amount that each prediction is revised, and are shown to vary systematically with stimulus orientation. For some observers a better fit was found by replacing the level-tilt assumptions with an assumption that physical tilt was equal to the projected tilt.

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Dissertations / Theses on the topic "Parallelogram"

1

Kienhuis, Anne Susan. "Prediction of hepatotoxic responses in humans:a toxicogenomics-based parallelogram appraoch." Maastricht : Maastricht : Universiteit Maastricht ; University Library, Universiteit Maastricht [host], 2008. http://arno.unimaas.nl/show.cgi?fid=9706.

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Chesters, Graeme S., and I. Welsh. "The death of collective identity? Global movement as a parallelogram of forces." International Centre for Participation Studies, 2007. http://hdl.handle.net/10454/3799.

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This paper brings together a number of theoretical and political interests we have with the concept of global movements and the alter-globalisation, anticapitalist, and social justice movements in particular (Chesters & Welsh, 2004, 2005, 2006). The argument contained in this paper is that these movements are the emergent outcome of complex processes of interaction, encounter and exchange facilitated and mediated by new technologies of mobility and communication and they suggest the emergence of a post-representational cultural politics qualitatively different from the identity based social movements of the past.

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Deb, Sagarmay. "Content-based image retrieval based on emergence index." University of Southern Queensland, Faculty of Sciences, 2003. http://eprints.usq.edu.au/archive/00001420/.

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Emergence is a phenomenon where we study the implicit or hidden meaning of an image. We introduce this concept in image database access and retrieval of images using his as an index for retrieval. This would give an entirely different search outcome than ordinary search where emergence is not considered, as consideration of hidden meanings could change the index of search. A feature of an image, which is not explicit would be emergent feature if it can be made explicit. There are three types of emergence: computational emergence, thermodynamic emergence and emergence relative to a model. In computational emergence, it is assumed computational interactions can generate different features or behaviors. This is one of the approaches in the field of artificial life. Thermodynamic emergence is of the view that new stable features or behaviors can arise from equilibrium through the use of thermodynamic theory. In emergence relative to a model, deviation of the behavior from the original model gives rise to emergence. We would use this latter view in our work. Two classes of shape emergence have been identified: embedded shape emergence and illusory shape emergence. In embedded shape emergence all the emergent shapes can be identified by set theory procedures on the original shape under consideration. For example, in a set S= {a,b,c,d,e}, we can find subsets like S1={a,b,c}, S2={c,d,e}, S3={a,c,e} and so on. But in illusory shape emergence, where contours defining a shape are perceived even though no contours are physically present, this kind of set theory procedures are not enough and more effective procedures have to be applied to find these hidden shapes. These procedures could be based on geometrical, topological or dimensional studies of the original shape. Content-based Image Retrieval (CBIR) techniques, so far developed, concentrated on only explicit meanings of an image. But more meanings could be extracted when we consider the implicit meanings of the same image. To find out the implicit meanings, we first destroy the shape of the original image which gives rise to unstructured image. Then we process the unstructured image to bring out the new emergent image. We discuss emergence, calculation of emergence index and accessing multimedia databases using emergence index in this dissertation. To calculate emergence index in the access of multimedia databases, we take an input image and study the emergence phenomenon of it. Also we study the emergence phenomenon of the images of the database. Both input image and images of database would give rise to more meanings because of emergence as we explained earlier. Based on the new meanings, wherever there would be a match between input image and images of database, we would pick that record up for selection. We defined emergence index as EI = f(D,F,V,C,E) where D stands for domain of the database, F for features of the image, V for various variables that define the image, C for constraints which represent the image and E for emergence phenomenon. We calculate these five variables to get emergence index for each image of the database. Also we calculate these five variables for input image as well. We talk about global aspects of features. It means features of the entire image. Examples are area, perimeter or rectangles, triangles. In some searches, to consider the global features could be advantageous in that a symmetry with the input image could be obtained on the basis of global features only. But as is clearly the case, to consider global features could overlook the individual objects that constitute the image as a whole. In the kind of searches we propose, we take into account the global features of the image of the database while considering in detail local features. Various objects that lie within an image constitute local features. In our example, there are three objects in the image, namely, a lake and two houses. Studying the features of these three objects would add to studying the features of the image globally. We took the example of a geographic location in the thesis and then showed how destruction of original image is done and further processing of the unstructured image gives new emergent image. Partial implementation of this concept is also presented at the end. In implementation, we consider the retrieval of image globally. We do not consider break-up of image into multiple objects which is left for future research.

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Stangier, Stefanie D. "Theoretical and experimental investigation of the free vibration of parallelogram plates with simply supported and clamped boundary conditions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq28462.pdf.

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Vokál, Miroslav. "Manipulátor pro manipulaci s velkonábalem." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2014. http://www.nusl.cz/ntk/nusl-231470.

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This work deals with the construction of a specific device for handling batching, such as paper rolls wound on a paper tube. It is included in the structural design of the device, control engineering calculations nodes developed basic drawing documentation manipulator.

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Струтинський, В. Б., and А. С. Дем'яненко. "Дослідження кінематики модельного паралелограмного механізму методом замкнених векторних контурів." Thesis, Сумський державний університет, 2014. http://essuir.sumdu.edu.ua/handle/123456789/38144.

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З метою підвищення точності верстата паралельної кінематики, було запропоновано розробити систему поточного контролю просторового положення платформи з замкненим вимірювальним контуром. При реалізації замкнених вимірювальних контурів, бажано використовувати вимірювальну апаратуру, що дає можливість безпосередньо визначати параметр, який контролюється. Переміщення платформи верстата паралельної кінематики з шістьма штангами змінної довжини у просторі залежить від видовження силових штанг верстата. Відповідно, поставлена задача - контролювати видовження кожної штанги верстата.

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Fankhänel, Andreas. "Metrical Problems in Minkowski Geometry." Doctoral thesis, Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-95007.

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In this dissertation we study basic metrical properties of 2-dimensional normed linear spaces, so-called (Minkowski or) normed planes. In the first chapter we introduce a notion of angular measure, and we investigate under what conditions certain angular measures in a Minkowski plane exist. We show that only the Euclidean angular measure has the property that in an isosceles triangle the base angles are of equal size. However, angular measures with the property that the angle between orthogonal vectors has a value of pi/2, i.e, a quarter of the full circle, exist in a wider variety of normed planes, depending on the type of orthogonality. Due to this we have a closer look at isosceles and Birkhoff orthogonality. Finally, we present results concerning angular bisectors. In the second chapter we pay attention to convex quadrilaterals. We give definitions of different types of rectangles and rhombi and analyse under what conditions they coincide. Combinations of defining properties of rectangles and rhombi will yield squares, and we will see that any two types of squares are equal if and only if the plane is Euclidean. Additionally, we define a ``new\'\' type of quadrilaterals, the so-called codises. Since codises and rectangles coincide in Radon planes, we will explain why it makes sense to distinguish these two notions. For this purpose we introduce the concept of associated parallelograms. Finally we will deal with metrically defined conics, i.e., with analogues of conic sections in normed planes. We define metric ellipses (hyperbolas) as loci of points that have constant sum (difference) of distances to two given points, the so-called foci. Also we define metric parabolas as loci of points whose distance to a given point equals the distance to a fixed line. We present connections between the shape of the unit ball B and the shape of conics. More precisely, we will see that straight segments and corner points of B cause, under certain conditions, that conics have straight segments and corner points, too. Afterwards we consider intersecting ellipses and hyperbolas with identical foci. We prove that in special Minkowski planes, namely in the subfamily of polygonal planes, confocal ellipses and hyperbolas intersect in a way called Birkhoff orthogonal, whenever the respective ellipse is large enough.

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Matela, Milan. "Konstrukční úpravy koherencí řízeného holografického mikroskopu." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2013. http://www.nusl.cz/ntk/nusl-230612.

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The aim of diploma thesis are modifications in mechanical design of the coherence controlled holographic microscope which will lead to reduction of some deficiencies. In this thesis there is a brief description of the history interference microscopy and differences between each types of interference microscopes. In this work there are stated some design deficiencies of actual condition of the microscope and also several solutions are suggested and shortly described. Then the best solution is chosen which is adjusted to a final form. It is described in detail and then realized. There is a summary included in the conclusion whether the new solution is suitable and if it fulfills the required condition.

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Стукало, Оксана Анатоліївна. "Багатоланковий плоский механізм на базі механізму переміщення матеріалу швейних машин для виконання стібків класу 300." Магістерська робота, Київський національний університет технологій та дизайну, 2021. https://er.knutd.edu.ua/handle/123456789/18752.

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Робота присвячена аналізу різних структур механізму переміщення матеріалів швейної машини для виконання стібків класу 300. Аналізу механізму зубчастої рейки човникових швейних машин, опису функцій положення та синтезу зубчастої рейки за критерієм міцності. В роботі проаналізовані механізми переміщення матеріалів швейної машини, отримані математичні моделі, що описують функції положення рухомих ланок та характерних точок. Виконані комбінований оптимізаційний кінематичний синтез механізму, комп’ютерне моделювання механізму в програмі Mathcad. Побудовані суміщені графіки траєкторій типового та нового механізмів переміщення матеріалів швейної машини. Проаналізована схема механізму переміщення матеріалів з двома коромислами, яка забезпечує одночасний вихід всіх зубців транспортуючої рейки над поверхнею голкової пластини, а також аналогічне опускання їх після переміщення матеріалу. Застосування нового механізму переміщення матеріалів забезпечує якісне виконання процесу переміщення, без пошкодження матеріалу, та стабільність довжини стібка.
The work is devoted to the analysis of different structures of the mechanism of movement of materials of the sewing machine for performance of stitches of a class 300. The mechanisms of movement of materials of the sewing machine are analyzed in the work, the mathematical models describing functions of position of moving links and characteristic points are received. Combined optimization kinematic synthesis of the mechanism, computer modeling of the mechanism in the Mathcad program are executed. Combined graphs of trajectories of typical and new mechanisms of movement of materials of the sewing machine are constructed. The scheme of the mechanism of movement of materials with two rockers which provides simultaneous exit of all teeth of a transporting rail over a surface of a needle plate, and also their similar lowering after movement of material is analyzed. The use of a new mechanism for moving materials ensures high-quality execution of the movement process, without damaging the material, and the stability of the stitch length.

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Прядко, Ігор Олександрович. "Багатоланковий плоский механізм на базі механізму переміщення матеріалу швейних машин для виконання стібків класу 400." Магістерська робота, Київський національний університет технологій та дизайну, 2021. https://er.knutd.edu.ua/handle/123456789/18755.

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Робота присвячена аналізу плоских важільних механізмів з ступенем вільності W=2. В межах роботи виконано кінематичний синтез, аналіз та силовий розрахунок важільних механізмів базової конструкції та механізму зубчастої рейки раціональної конструкцій. Зважаючи на типову конструкцію механізмів зубчастої рейки краєобметувальних машин, конструкція механізму була обрана з урахуванням особливостей механізму зубчастої рейки швейної машини 208 кл. ПМЗ (Росія). В результаті проведення динамічного аналізу, який проводився при максимальній швидкості обертання головного валу технологічного обладнання, були встановлені місця, які є найбільш слабкими. Найбільш навантажена деталь в усіх механізмах, за характеристиками найбільших напружень, є шатун зубчастої рейки, при цьому зона найбільших навантажень припадає на переході до передньої головки шатуна. В новій конструкції шатуна, який виконаний вилкоподібним, було враховано конструктивно зміни форми, що призвело до зниження навантаження, а також призвело до підвищення коефіцієнту запасу міцності. Запропонована конструкція механізму може бути застосована для модернізації діючого обладнання або розробки нового. Застосування нового механізму переміщення матеріалів забезпечує якісне виконання процесу переміщення та необхідну міцність.
The work is devoted to the analysis of flat lever mechanisms with the degree of freedom W = 2. Within the work kinematic synthesis, analysis and force calculation of lever mechanisms of the basic structure and the mechanism of the toothed rack of rational structures were performed. Due to the typical design of the mechanisms of the toothed rack of edging machines, the design of the mechanism was chosen taking into account the features of the mechanism of the toothed rack of the sewing machine 208 cl. PMZ (Russia). As a result of the dynamic analysis, which was carried out at the maximum speed of rotation of the main shaft of the process equipment, the weakest places were identified. The most loaded part in all mechanisms, according to the characteristics of the highest stresses is the connecting rod of the rack, while the zone of greatest loads falls on the transition to the front head of the connecting rod. The new design of the connecting rod, which is made of a fork, took into account structural changes in shape, which led to a decrease in load, as well as led to an increase in the coefficient of strength. The proposed design of the mechanism can be used to upgrade existing equipment or develop new ones. The use of a new mechanism for moving materials ensures high-quality execution of the movement process and the necessary strength.

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Books on the topic "Parallelogram"

1

Parallelogram. New York, N.Y., U.S.A: Viking, 1987.

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Neoplatonism after Derrida: Parallelograms. Leiden, NE: Brill, 2007.

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Isakov, K. A. Novye samoustanavlivii︠u︡shchiesi︠a︡ mnogoopernye gibkie parallelogrammy \. Almaty: NIT︢S︡ "Ghylym", 2002.

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Squares. New York: Marshall Cavendish Benchmark, 2006.

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Rau, Dana Meachen. Rectangles. New York: Marshall Cavendish Benchmark, 2006.

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Parallelogram. Paladin, 1989.

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Deręgowski, J. B. Cross-Cultural Studies of Illusions. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0002.

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Cross-cultural studies are of interest primarily because they demonstrate the extent of perceptual variation that would not be observable if the samples were derived from a single population. They are also of interest because they show how variation of factors such as age, gender, environment, cultural background, and genetics affects perception. Topics addressed include horizontal-vertical illusions, the Muller-Lyer illusion, and the Sander parallelogram. Perceptual processes are explored including perception of depth.

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Poundstone, Paula, and Faye Nisonoff Ruopp. The Sticky Problem of Parallelogram Pancakes: And Other Skill-Building Math Activities, Grades 4-5 (The Math with a Laugh Series). Heinemann, 2006.

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Gersh, Stephen. Neoplatonism After Derrida: Parallelograms (Studies in Platonism, Neoplatonism, and the Platonic Tradition). Brill Academic Publishers, 2006.

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Diamond Downhill (Community of Shapes). Dingles/Treehouse Court, 2005.

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Book chapters on the topic "Parallelogram"

1

Wilson, Scott. "Parallelogram Binocular Mount." In Amateur Telescope Making, 179–91. London: Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0567-1_11.

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Lee, Chung-Ching, and Jacques M. Hervé. "On the Delassus Parallelogram." In Advances in Robot Kinematics: Analysis and Design, 439–49. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8600-7_46.

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Benvenuto, Edoardo. "The Parallelogram of Forces." In An Introduction to the History of Structural Mechanics, 116–42. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-2982-7_4.

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Amir, Dan. "Loewner Ellipsoids and Parallelogram Inequalities." In Operator Theory: Advances and Applications, 46–56. Basel: Birkhäuser Basel, 1986. http://dx.doi.org/10.1007/978-3-0348-5487-0_7.

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Massé, Alexandre Blondin, Mélodie Lapointe, and Hugo Tremblay. "Parallelogram Morphisms and Circular Codes." In Language and Automata Theory and Applications, 221–32. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30000-9_17.

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Mantaci, Roberto, and Paolo Massazza. "From Linear Partitions to Parallelogram Polyominoes." In Developments in Language Theory, 350–61. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22321-1_30.

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Amir, Dan. "The Parallelogram Equality and Derived Equalities." In Operator Theory: Advances and Applications, 8–15. Basel: Birkhäuser Basel, 1986. http://dx.doi.org/10.1007/978-3-0348-5487-0_2.

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Hoijtink, Herbert. "PARELLA: An IRT Model for Parallelogram Analysis." In Handbook of Modern Item Response Theory, 415–29. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4757-2691-6_24.

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Pashkevich, A., A. Klimchik, S. Caro, and D. Chablat. "Stiffness Modelling of Parallelogram-Based Parallel Manipulators." In New Trends in Mechanism Science, 675–82. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-9689-0_77.

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Murena, Pierre-Alexandre, Antoine Cornuéjols, and Jean-Louis Dessalles. "Opening the Parallelogram: Considerations on Non-Euclidean Analogies." In Case-Based Reasoning Research and Development, 597–611. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01081-2_39.

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Conference papers on the topic "Parallelogram"

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Salgado, Oscar, Oscar Altuzarra, Enrique Amezua, and Alfonso Herna´ndez. "A Parallelogram-Based Parallel Manipulator For Scho¨nflies Motion." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99197.

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A parallelogram-based four degrees-of-freedom parallel manipulator is presented in this paper. The manipulator can generate the so-called Scho¨nflies motion, that allows the end-effector to translate in all directions and rotate around an axis parallel to a fixed direction. The Theory of Group of Displacements is applied in the synthesis of this manipulator, which employs parallelograms in every limb. The planar parallelogram kinematic chain provides a high rotational capability and a improved stiffness to the manipulator. The paper shows the kinematic analysis of the manipulator, including the closed-form resolution of the forward and inverse position problems, the velocity and the singularity analysis. Finally, a prototype of the manipulator and some technical applications in which the manipulator can be used are presented.

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Schwarz, Christian, Jürgen Teich, Alek Vainshtein, Emo Welzl, and Brian L. Evans. "Minimal enclosing parallelogram with application." In the eleventh annual symposium. New York, New York, USA: ACM Press, 1995. http://dx.doi.org/10.1145/220279.220338.

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Svetlik, Jozef, and Naqib Daneshjo. "Modular Robots in Parallelogram System." In 2008 6th International Symposium on Applied Machine Intelligence and Informatics (SAMI '08). IEEE, 2008. http://dx.doi.org/10.1109/sami.2008.4469173.

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Qin, Lijuan, Yulan Hu, Yingzi Wei, Yue Zhou, and Hong Wang. "Novel Parallelogram Based Pose Estimation Method." In 2008 4th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM). IEEE, 2008. http://dx.doi.org/10.1109/wicom.2008.2547.

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Huerta, L. Ruiz, A. Caballero-Ruiz, E. Marin-Aguilar, G. Velasco-Herrera, T. Baidyk, and E. Kussul. "Parallelogram Micromachine for Low Cost Micromechanics." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62186.

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This paper describes the experience of the Laboratory of Micromechanics and Mechatronics in the production of low cost micromechanics. A case of study is discussed and explained. The importance of applying simple mechanisms and high level control systems is presented. The basic elements and components needed to develop a high resolution micromachine tool are presented. This case of study is a MicroMachine Tool of 800nm of resolution in its three translational axes. Every single axis is able to move along 20mm. The configuration of the axes is not conventional, thanks to the use of parallel elements that results in semi circular movements.

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Lee, Po-Chih. "One Novel Isoconstrained Parallel Robot With Schoenflies-Motion." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12502.

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The coupling between two opposite bars of the hinged parallelogram produces relative 1-DoF circular translation and the opposite bars can move but remain parallel. From the point of view of kinematics, a hinged parallelogram is equivalent to a prismatic pair for a small motion. On the basis of a special parallel mechanism with the limb architecture of type CPUh (C and P denote cylindrical and prismatic pairs; Uh indicates the pseudo-universal-joint having one revolute and one screw pairs with the intersecting axes), we provide one novel Schoenflies-motion isoconstrained CPaUh//CPaUh robot with only two limbs having the hinged parallelograms for the fast pick-and-place operation of the assembly and packaging applications. This type of robot is compact for not only its structure but also its actuation. The robot architecture and kinematics including inverse and forward solutions are studied. In addition, Jacobian matrix, singularity analysis and workspace are further discussed. It is hoped that the evaluations of such two-limb parallel mechanism can be useful for possible application in industry where pick-and-place motion and higher accuracy are required.

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Limin, Li, and Zhang Guoxiang. "A New Compatible Parallelogram Thin Plate Element." In 2009 Second International Symposium on Computational Intelligence and Design. IEEE, 2009. http://dx.doi.org/10.1109/iscid.2009.118.

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Varziri, Saeed, and Leila Notash. "Kinematic Calibration of the Central Linkage of a Wire-Actuated Parallel Robot: A Comparison Between Two Nonlinear Approaches." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61132.

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In this article kinematic calibration of the central linkage of a wire-actuated parallel robot, which has a parallelogram mechanism in its structure, is discussed. It is shown that the dependency between the parallelogram joint angles affect the conditioning of the identification Jacobian matrix. Through a sensitivity analysis, it is presented that some of the parallelogram link lengths are not identifiable. Two nonlinear calibration approaches, Gauss-Newton and Levenberg-Marquardt, have also been explained and their difference especially when the identification Jacobian matrix is ill-conditioned, are pointed out.

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Ge, Guangshuang, Kai Yang, Ruixin Ma, and Zilong Li. "Vibration Modal Analysis of Parallelogram Linkage Palletizing Robot." In 2018 IEEE 4th Information Technology and Mechatronics Engineering Conference (ITOEC). IEEE, 2018. http://dx.doi.org/10.1109/itoec.2018.8740609.

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Bhaskar, Harish, and Naoufel Werghi. "Comparing Hough and Radon transform based parallelogram detection." In 2011 IEEE GCC Conference and Exhibition (GCC). IEEE, 2011. http://dx.doi.org/10.1109/ieeegcc.2011.5752619.

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Reports on the topic "Parallelogram"

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Ungar, Abraham A. The Relativistic Hyperbolic Parallelogram Law. GIQ, 2012. http://dx.doi.org/10.7546/giq-7-2006-249-264.

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