Symmetry In Mechanical Engineering
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| Author | : Adam Glowacz |
| Publisher | : MDPI |
| Total Pages | : 372 |
| Release | : 2020-06-03 |
| Genre | : Technology & Engineering |
| ISBN | : 3039362143 |
Recent advancements in mechanical engineering are an essential topic for discussion. The topics relating to mechanical engineering include the following: measurements of signals of shafts, springs, belts, bearings, gears, rotors, machine elements, vibration analysis, acoustic analysis, fault diagnosis, construction, analysis of machine operation, analysis of smart-material systems, integrated systems, stresses, analysis of deformations, analysis of mechanical properties, signal processing of mechanical systems, and rotor dynamics. Mechanical engineering deals with solid and fluid mechanics, rotation, movements, materials, and thermodynamics. This book, with 15 published articles, presents the topic “Symmetry in Mechanical Engineering”. The presented topic is interesting. It is categorized into eight different sections: Deformation; Stresses; Mechanical properties; Tribology; Thermodynamic; Measurement; Fault diagnosis; Machine. The development of techniques and methods related to mechanical engineering is growing every month. The described articles have made a contribution to mechanical engineering. The proposed research can find applications in factories, oil refineries, and mines. It is essential to develop new improved methods, techniques, and devices related to mechanical engineering.
| Author | : Raúl Baños Navarro |
| Publisher | : MDPI |
| Total Pages | : 220 |
| Release | : 2019-11-21 |
| Genre | : Technology & Engineering |
| ISBN | : 3039218743 |
This book presents interesting samples of theoretical and practical advances of symmetry in multidisciplinary engineering applications. It covers several applications, such as accessibility and traffic congestion management, path planning for mobile robots, analysis of shipment service networks, fault diagnosis methods in electrical circuits and electrical machines, geometrical issues in architecture, geometric modeling and virtual reconstruction, design of noise detectors, filters, and segmentation methods for image processing, and cyclic symmetric structures in turbomachinery applications, to name but a few. The contributions included in this book depict the state of the art in this field and lay the foundation for the possibilities that the study of symmetry has in multidisciplinary applications in the field of engineering.
| Author | : Jerrold E. Marsden |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 593 |
| Release | : 2013-03-19 |
| Genre | : Science |
| ISBN | : 0387217924 |
A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available.
| Author | : Darryl D. Holm |
| Publisher | : Oxford University Press |
| Total Pages | : 537 |
| Release | : 2009-07-30 |
| Genre | : Mathematics |
| ISBN | : 0199212902 |
A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject.
| Author | : Ian Stewart |
| Publisher | : OUP Oxford |
| Total Pages | : 161 |
| Release | : 2013-05-30 |
| Genre | : Mathematics |
| ISBN | : 0191652741 |
In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
| Author | : Ali Kaveh |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 473 |
| Release | : 2013-05-16 |
| Genre | : Science |
| ISBN | : 3709115655 |
Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed for configuration processing, which is an important issue in the analysis and design of space structures and finite element models. Different mathematical concepts are combined to make the optimal analysis of structures feasible. Canonical forms from matrix algebra, product graphs from graph theory and symmetry groups from group theory are some of the concepts involved in the variety of efficient methods and algorithms presented. The algorithms elucidated in this book enable analysts to handle large-scale structural systems by lowering their computational cost, thus fulfilling the requirement for faster analysis and design of future complex systems. The value of the presented methods becomes all the more evident in cases where the analysis needs to be repeated hundreds or even thousands of times, as for the optimal design of structures by different metaheuristic algorithms. The book is of interest to anyone engaged in computer-aided analysis and design and software developers in this field. Though the methods are demonstrated mainly through skeletal structures, continuum models have also been added to show the generality of the methods. The concepts presented are not only applicable to different types of structures but can also be used for the analysis of other systems such as hydraulic and electrical networks.
| Author | : Mike Field |
| Publisher | : |
| Total Pages | : 238 |
| Release | : 1995 |
| Genre | : Computers |
| ISBN | : |
A classy rendering of chaos theory and symmetry mathematics illustrating recent understanding about the convergence between the two areas. Mathematicians Field and Golubitsky explain the relationship between chaos and symmetry, describing how chaotic process may eventually lead to symmetric patterns in a clear, understandable language and in color photographs reproducing computer images demonstrating the inherent pattern in apparent chaos. The authors compare these images with pictures from nature and art that, miraculously, mimic the computer patterns. Includes an appendix containing several BASIC programs enabling home computer owners to experiment with similar images. Annotation copyrighted by Book News, Inc., Portland, OR
| Author | : Brian Cantwell |
| Publisher | : Cambridge University Press |
| Total Pages | : 660 |
| Release | : 2002-09-23 |
| Genre | : Mathematics |
| ISBN | : 9780521777407 |
An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.
| Author | : Robert Connelly |
| Publisher | : Cambridge University Press |
| Total Pages | : 299 |
| Release | : 2022-01-27 |
| Genre | : Mathematics |
| ISBN | : 0521879108 |
Why don't things fall down? Engineering meets mathematics in this introduction to the geometry of rigid and flexible structures.
| Author | : Alphose Zingoni |
| Publisher | : CRC Press |
| Total Pages | : 276 |
| Release | : 2018-10-08 |
| Genre | : Technology & Engineering |
| ISBN | : 1482264072 |
Appeals to the Student and the Seasoned Professional While the analysis of a civil-engineering structure typically seeks to quantify static effects (stresses and strains), there are some aspects that require considerations of vibration and dynamic behavior. Vibration Analysis and Structural Dynamics for Civil Engineers: Essentials and Group-Theoretic Formulations is relevant to instances that involve significant time-varying effects, including impact and sudden movement. It explains the basic theory to undergraduate and graduate students taking courses on vibration and dynamics, and also presents an original approach for the vibration analysis of symmetric systems, for both researchers and practicing engineers. Divided into two parts, it first covers the fundamentals of the vibration of engineering systems, and later addresses how symmetry affects vibration behavior. Part I treats the modeling of discrete single and multi-degree-of-freedom systems, as well as mathematical formulations for continuous systems, both analytical and numerical. It also features some worked examples and tutorial problems. Part II introduces the mathematical concepts of group theory and symmetry groups, and applies these to the vibration of a diverse range of problems in structural mechanics. It reveals the computational benefits of the group-theoretic approach, and sheds new insights on complex vibration phenomena. The book consists of 11 chapters with topics that include: The vibration of discrete systems or lumped parameter models The free and forced response of single degree-of-freedom systems The vibration of systems with multiple degrees of freedom The vibration of continuous systems (strings, rods and beams) The essentials of finite-element vibration modelling Symmetry considerations and an outline of group and representation theories Applications of group theory to the vibration of linear mechanical systems Applications of group theory to the vibration of structural grids and cable nets Group-theoretic finite-element and finite-difference formulations Vibration Analysis and Structural Dynamics for Civil Engineers: Essentials and Group-Theoretic Formulations acquaints students with the fundamentals of vibration theory, informs experienced structural practitioners on simple and effective techniques for vibration modelling, and provides researchers with new directions for the development of computational vibration procedures.
