Download or read book Mechanisms for Generating Mathematical Curves written by Iulian Popescu and published by Springer Nature. This book was released on 2020-04-16 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on important mathematical considerations in describing the synthesis of original mechanisms for generating curves. The synthesis is manual and not based on the use of computer tools. Kinematics is applied to confirm the drawing of the curves, and the closed loop method, and in some cases the distances method, is applied in this phase. The book provides all the notions of structure and kinematics that are necessary to calculate the mechanisms and also analyzes other kinematic possibilities of the created mechanisms. Offering a concise, yet self-contained guide to the mathematical fundamentals for mechanisms of curve generation, together with a useful collection of mechanisms exercises, the book is intended for students learning about mechanism kinematics, as well as engineers dealing with mechanism design and analysis. It is based on the authors’ many years of research, which has been published in different books and journals, mainly, but not exclusively, in Romanian.
Download or read book Mechanisms for the Generation of Plane Curves written by I. I. Artobolevskii and published by Elsevier. This book was released on 2013-09-03 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanisms for the Generation of Plane Curves focuses on the possibility of generating plane curves through kinematic linkages. The book first offers information on the basic theory of the generation of curves by mechanisms with higher pairs of the fourth class and fundamentals of the theory of the generation of curves using mechanisms with lower pairs of class V. Discussions focus on generation of curves by centrode and trajectory pairs; generation of curves with five-link and six-link kinematic chains; basic theorem for the mechanical generation of algebraic curves; and use of the properties of individual forms of transformation mechanisms. The text then examines mechanical generation of straight lines and circles and mechanical generation of ellipses, hyperbolas, and parabolas. The publication ponders on the mechanical generation of third degree curves and mechanical generation of curves of the fourth degree. Topics include mechanisms for generating curves of the focal type; mechanisms for generating special forms of curves; and mechanisms for the generation of the conchoids of the straight line and the circle. The text is a dependable reference for readers interested in the mechanisms involved in plane curves.
Download or read book Mechanisms for the Generation of Plane Curves written by Ivan Ivanovich Artobolevskiĭ and published by Pergamon. This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isaac Newton on Mathematical Certainty and Method written by Niccolo Guicciardini and published by MIT Press. This book was released on 2011-08-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.
Download or read book Mechanical Simulation with MATLAB written by Dan B. Marghitu and published by Springer Nature. This book was released on 2021-11-11 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the simulation of the mechanical behavior of engineering structures, mechanisms and components. It presents a set of strategies and tools for formulating the mathematical equations and the methods of solving them using MATLAB. For the same mechanical systems, it also shows how to obtain solutions using a different approaches. It then compares the results obtained with the two methods. By combining fundamentals of kinematics and dynamics of mechanisms with applications and different solutions in MATLAB of problems related to gears, cams, and multilink mechanisms, and by presenting the concepts in an accessible manner, this book is intended to assist advanced undergraduate and mechanical engineering graduate students in solving various kinds of dynamical problems by using methods in MATLAB. It also offers a comprehensive, practice-oriented guide to mechanical engineers dealing with kinematics and dynamics of several mechanical systems.
Download or read book Practical Handbook of Curve Design and Generation written by David H. von Seggern and published by CRC Press. This book was released on 1994-03-08 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computers are now being used virtually everywhere in arts, drafting, and design to generate curves and surfaces ranging from the elementary to the intricate. Practical Handbook of Curve Design and Generation is a ready reference that presents the basic mathematics of curves in a complete, clear manner that enables you to apply the material to your own work with minimum effort. By knowing how curves are mathematically generated and how their shape is controlled, you can more fully exploit available computer tools, modify these tools themselves, and provide input for others to modify them. It will also help you to identify mathematical equations required to produce specific curves. The book does not require a heavy mathematical background-if you understand elementary algebra and trigonometry, you can fully apply the material presented. Essential mathematical concepts are repeated in the book to reinforce your knowledge of those topics. Featuring some 300 graphic examples, the book is organized so that early chapters cover fundamental polynomial, trigonometric, and exponential forms. The mathematical transformation of curves is then treated in order to give you a general approach for modifying known curves. Later chapters introduce complex curves that can be composed from the building blocks presented in earlier chapters. The final chapters cover interesting ideas in space curves and in surfaces.
Download or read book ICGG 2018 Proceedings of the 18th International Conference on Geometry and Graphics written by Luigi Cocchiarella and published by Springer. This book was released on 2018-07-06 with total page 2334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
Download or read book The 11th IFToMM International Symposium on Science of Mechanisms and Machines written by Ion Visa and published by Springer Science & Business Media. This book was released on 2013-10-18 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general topic of the symposium follows mechanisms development through all stages of conception, modeling, analysis, synthesis and control to advanced product design. This volume brings together the latest results in the field and celebrates a series of conferences that has been running for 40 years. The contributors and the editor are world leaders in their field.
Download or read book Recent Advances in Mechanisms Transmissions and Applications written by Delun Wang and published by Springer Nature. This book was released on 2019-09-06 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathering the proceedings of the conference MeTrApp 2019, this book covers topics such as mechanism and machinery design, parallel manipulators, robotics and mechatronics, control applications, mechanical transmissions, cam and gear mechanisms, and dynamics of machinery. MeTrApp 2019 provided researchers, scientists, industry experts, and graduate students from around the globe with a platform to share their cutting-edge work on mechanisms, transmissions, and their applications. The proceedings extend this platform to all researchers, scientists, industry experts, and students interested in these fields.
Download or read book The Cambridge Companion to Newton written by Rob Iliffe and published by Cambridge University Press. This book was released on 2016-03-29 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sir Isaac Newton (1642–1727) was one of the greatest scientists of all time, a thinker of extraordinary range and creativity who has left enduring legacies in mathematics and physics. While most famous for his Principia, his work on light and colour, and his discovery of the calculus, Newton devoted much more time to research in chemistry and alchemy, and to studying prophecy, church history and ancient chronology. This new edition of The Cambridge Companion to Newton provides authoritative introductions to these further dimensions of his endeavours as well as to many aspects of his physics. It includes a revised bibliography, a new introduction and six new chapters: three updating previous chapters on Newton's mathematics, his chemistry and alchemy and the reception of his religious views; and three entirely new, on his religion, his ancient chronology and the treatment of continuous and discontinuous forces in his second law of motion.
Download or read book Elementary Mathematics from a Higher Standpoint written by Felix Klein and published by Springer. This book was released on 2016-06-28 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom höheren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into English, while until today the only translation had been into Chinese. Second, the English versions of volume I and II had omitted several, even extended parts of the original, while we now present a complete revised translation into modern English. The volumes, first published between 1902 and 1908, are lecture notes of courses that Klein offered to future mathematics teachers, realizing a new form of teacher training that remained valid and effective until today: Klein leads the students to gain a more comprehensive and methodological point of view on school mathematics. The volumes enable us to understand Klein’s far-reaching conception of elementarisation, of the “elementary from a higher standpoint”, in its implementation for school mathematics. In Volume III, Klein explores the relationship between precision and approximation mathematics. He crosses the various fields of mathematics – from functions in one and two variables to practical geometry to space curves and surfaces – underlining the relation between the exactness of the idealised concepts and the approximations to be considered in applications. Logical procedures are confronted with the way in which concepts arise starting from observations. It is a comparison between properties pertaining only to the theoretical field of abstract mathematics and properties that can be grasped by intuition. The final part, which concerns gestalt relations of curves and surfaces, shows Klein to be the master of the art of description of geometric forms.
Download or read book Curve producing Mechanisms written by Milton Eugene Winger and published by . This book was released on 1956 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hands on History written by Amy Shell-Gellasch and published by MAA. This book was released on 2007 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an increasingly electronic society, these exercises are designed to help school and collegiate educators use historical devices of mathematics to balance the digital side of mathematics.
Download or read book Machine Analysis with Computer Applications for Mechanical Engineers written by James Doane and published by John Wiley & Sons. This book was released on 2015-09-28 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to motivate students into learning Machine Analysis by reinforcing theory and applications throughout the text. The author uses an enthusiastic ‘hands-on’ approach by including photos of actual mechanisms in place of abstract line illustrations, and directs students towards developing their own software for mechanism analysis using Excel & Matlab. An accompanying website includes a detailed list of tips for learning machine analysis, including tips on working homework problems, note taking, preparing for tests, computer programming and other topics to aid in student success. Study guides for each chapter that focus on teaching the thought process needed to solve problems by presenting practice problems are included, as are computer animations for common mechanisms discussed in the text.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Architecture and Mathematics from Antiquity to the Future written by Kim Williams and published by Birkhäuser. This book was released on 2015-02-11 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volume’s content includes works in the United States of America and Australia, in addition to those in Europe and Asia.
Download or read book Advances in Mechanism and Machine Science written by Tadeusz Uhl and published by Springer. This book was released on 2019-06-13 with total page 4248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the proceedings of the 15th IFToMM World Congress, which was held in Krakow, Poland, from June 30 to July 4, 2019. Having been organized every four years since 1965, the Congress represents the world’s largest scientific event on mechanism and machine science (MMS). The contributions cover an extremely diverse range of topics, including biomechanical engineering, computational kinematics, design methodologies, dynamics of machinery, multibody dynamics, gearing and transmissions, history of MMS, linkage and mechanical controls, robotics and mechatronics, micro-mechanisms, reliability of machines and mechanisms, rotor dynamics, standardization of terminology, sustainable energy systems, transportation machinery, tribology and vibration. Selected by means of a rigorous international peer-review process, they highlight numerous exciting advances and ideas that will spur novel research directions and foster new multidisciplinary collaborations.
