- Table View
- List View
Viability and Resilience of Complex Systems
by Nigel Gilbert Guillaume DeffuantOne common characteristics of a complex system is its ability to withstand major disturbances and the capacity to rebuild itself. Understanding how such systems demonstrate resilience by absorbing or recovering from major external perturbations requires both quantitative foundations and a multidisciplinary view on the topic. This book demonstrates how new methods can be used to identify the actions favouring the recovery from perturbations. Examples discussed include bacterial biofilms resisting detachment, grassland savannahs recovering from fire, the dynamics of language competition and Internet social networking sites overcoming vandalism. The reader is taken through an introduction to the idea of resilience and viability and shown the mathematical basis of the techniques used to analyse systems. The idea of individual or agent-based modelling of complex systems is introduced and related to analytically tractable approximations of such models. A set of case studies illustrates the use of the techniques in real applications, and the final section describes how one can use new and elaborate software tools for carrying out the necessary calculations. The book is intended for a general scientific audience of readers from the natural and social sciences, yet requires some mathematics to gain a full understanding of the more theoretical chapters. It is an essential point of reference for those interested in the practical application of the concepts of resilience and viability
Vibration Analysis of Functionally Graded Piezoelectric Actuators (SpringerBriefs in Applied Sciences and Technology)
by Pankaj SharmaThis book presents a detailed study on the vibration analysis of functionally graded piezoelectric actuators excited under the shear effect. Two types of actuator geometries viz. beam and annular plate are considered, where the material properties are assumed to have a continuous variation in accordance with a power law distribution. The generalized differential quadrature method is used to obtain the solutions, and is compared to exact analytical results. The methodology reported and the numerical results presented will be useful for the design of devices utilizing functionally graded piezoelectric actuators under the influence of shear.
Vibration and Heat Transfer of Elastic Tube Bundles in Heat Exchangers: A Numerical Study
by Jiadong Ji Baojun Shi Haishun DengThis book systematically investigates the vibration and enhanced heat transfer of elastic tube bundles in heat exchangers. Using numerical calculation methods, it explores the working principles, optimization design, and performance enhancement of elastic tube bundle heat exchangers. The book presents research findings with clear illustrations and detailed analysis, allowing readers to gain a deep understanding and practical application of the subject. Whether from an academic research or engineering practice perspective, this book serves as a valuable reference and guide. It provides readers with insight and guidance on both theoretical and practical aspects of the field. With its comprehensive coverage and practical approach, this book is essential reading for researchers, engineers, and students interested in the vibration and heat transfer of elastic tube bundles in heat exchangers.
Vibration and Structural Acoustics Analysis
by J. Dias Rodrigues C.M.A. VasquesVibration and structural acoustics analysis has become an essential requirement for high-quality structural and mechanical design in order to assure acoustic comfort and the integrity, reliability and fail-safe behavior of structures and machines. The underlying technologies of this field of multidisciplinary research are evolving very fast and their dissemination is usually scattered over different and complementary scientific and technical publication means. In order to make it easy for developers and technology end-users to follow the latest developments and news in the field, this book collects into a single volume selected, extended, updated and revised versions of papers presented at the Symposium on Vibration and Structural Acoustics Analysis, coordinated by J. Dias Rodrigues and C. M. A. Vasques, which was organised as part of the 3rd International Conference on Integrity, Reliability & Failure (IRF'2009), co-chaired by J. F. Silva Gomes and Shaker A. Meguid, held at the Faculty of Engineering of the University of Porto, Portugal, 20-24 July 2009. These papers where chosen from the more than 60 papers presented at the conference symposium. Written by experienced practitioners and researchers in the field, this book brings together recent developments in the field, spanning across a broad range of themes: vibration analysis, analytical and computational structural acoustics and vibration, material systems and technologies for noise and vibration control, vibration-based structural health monitoring/evaluation, machinery noise/vibration and diagnostics, experimental testing in vibration and structural acoustics, applications and case studies in structural acoustics and vibration. Each chapter presents and describes the state of the art, presents current research results and discusses the need for future developments in a particular aspect of vibration and structural acoustics analysis. The book is envisaged to be an appealing text for newcomers to the subject and a useful research study tool for advanced students and faculty members. Practitioners and researchers may also find this book a one-stop reference that addresses current and future challenges in this field. The variety of case studies is expected to stimulate a holistic view of sound and vibration and related fields and to appeal to a broad spectrum of engineers such as the ones in the mechanical, aeronautical, aerospace, civil and electrical communities.
Vibration of Discrete and Continuous Systems (Mechanical Engineering Series)
by Ahmed ShabanaThis revised, updated textbook adds new focus on computational methods and the importance of vibration theory in computer-aided engineering to fundamental aspects of vibration of discrete and continuous systems covered in the previous two editions of Vibration of Discrete and Continuous Systems. Building on the book’s emphasis on the theory of vibration of mechanical, structural, and aerospace systems, the author’s modifications, including discussion of the sub-structuring and finite element formulations, complete the coverage of topics required for a contemporary, second course following Vibration Theory. The textbook is appropriate for both upper-level undergraduate and graduate courses.
Vibration Problems ICOVP 2011
by Bohdana Marvalová Ferdinand Verhulst Jaromír Horáček Jerzy T. Sawicki Jiří Náprstek Miloslav OkrouhlíkThis volume presents the Proceedings of the 10th International Conference on Vibration Problems, 2011, Prague, Czech Republic. ICOVP 2011 brings together again scientists from different backgrounds who are actively working on vibration-related problems of engineering both in theoretical and applied fields, thus facilitating a lively exchange of ideas, methods and results between the many different research areas. The aim is that reciprocal intellectual fertilization will take place and ensure a broad interdisciplinary research field. The topics, indeed, cover a wide variety of vibration-related subjects, from wave problems in solid mechanics to vibration problems related to biomechanics. The first ICOVP conference was held in 1990 at A.C. College, Jalpaiguri, India, under the co-chairmanship of Professor M.M. Banerjee and Professor P. Biswas. Since then it has been held every 2 years at various venues across the World.
Vibrations and Stability: Advanced Theory, Analysis, and Tools
by Jon Juel ThomsenAn ideal text for students that ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations with the tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.
Vibrations of mechanical systems with regular structure
by Mark Kempner Ludmilla BanakhVibrations in systems with a periodic structure is the subject of many ongoing research activities. This work presents the analysis of such systems with the help of the theory of representation groups by finite element methods, dynamic Compliance and dynamic rigidness methods, specially adjusted for the analysis of engineering structures. The approach presented in this book permits a simplification and facilitates the understanding of mechanical vibrations in various structures. The book includes extended studies of even complicated machinery structures with an emphasis on flight vehicle engines.
Vibrations of Shells and Plates (Mechanical Engineering)
by Werner SoedelWith increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today‘s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its
Vicki Cobb's Why Do I Dry Off?: STEM Kids Discover the Science of Evaporation (STEM Play)
by Vicki CobbHow do you dry off? Find out how in this new, colorful, easy-to-read STEM book! &“STEM&” is an acronym for Science, Technology, Engineering, and Math. Though these subjects are incredibly important to both education and society as a whole, they are often overlooked, especially after primary education is complete. A goal of this book is to introduce STEM to kids and make them excited about learning these central subjects. In Why Do I Dry Off?, your child will learn all about evaporation and the process of liquid changing into gas, an important part of the water cycle. Accomplished author and educator Vicki Cobb teaches your child all about this important aspect of STEM, while still making it fun and entertaining through bright illustrations, easy-to-understand language, and experiments broken down step-by-step. Your child will be so enthralled, they won&’t even realize they&’re learning! Introduce your child to vital STEM subjects and encourage them to learn about the world around them with Why Do I Dry Off?!
Vicki Cobb's Why Does My Ice Cream Melt?: Smart Answers to STEM Questions (STEM Play)
by Vicki CobbWhy does ice cream melt? Find out how in this new, colorful, easy-to-read STEM book! &“STEM&” is an acronym for Science, Technology, Engineering, and Math. Though these subjects are incredibly important to both education and society as a whole, they are often overlooked, especially after primary education is complete. A goal of this book is to introduce STEM to kids and make them excited about learning these central subjects. In Why Does My Ice Cream Melt?, your child will learn all about the states of water, including the water cycle. Accomplished author and educator Vicki Cobb teaches your child all about this important aspect of STEM, while still making it fun and entertaining through bright illustrations, easy-to-understand language, and experiments broken down step-by-step. Your child will be so enthralled, they won&’t even realize they&’re learning! Introduce your child to vital STEM subjects and encourage them to learn about the world around them with Why Does My Ice Cream Melt?!
Video Bioinformatics
by Bir Bhanu Prue TalbotThe advances of live cell video imaging and high-throughput technologies for functional and chemical genomics provide unprecedented opportunities to understand how biological processes work in subcellular and multicellular systems. The interdisciplinary research field of Video Bioinformatics is defined by Bir Bhanu as the automated processing, analysis, understanding, data mining, visualization, query-based retrieval/storage of biological spatiotemporal events/data and knowledge extracted from dynamic images and microscopic videos. Video bioinformatics attempts to provide a deeper understanding of continuous and dynamic life processes. Genome sequences alone lack spatial and temporal information, and video imaging of specific molecules and their spatiotemporal interactions, using a range of imaging methods, are essential to understand how genomes create cells, how cells constitute organisms, and how errant cells cause disease. The book examines interdisciplinary research issues and challenges with examples that deal with organismal dynamics, intercellular and tissue dynamics, intracellular dynamics, protein movement, cell signaling and software and databases for video bioinformatics. Topics and Features * Covers a set of biological problems, their significance, live-imaging experiments, theory and computational methods, quantifiable experimental results and discussion of results. * Provides automated methods for analyzing mild traumatic brain injury over time, identifying injury dynamics after neonatal hypoxia-ischemia and visualizing cortical tissue changes during seizure activity as examples of organismal dynamics * Describes techniques for quantifying the dynamics of human embryonic stem cells with examples of cell detection/segmentation, spreading and other dynamic behaviors which are important for characterizing stem cell health * Examines and quantifies dynamic processes in plant and fungal systems such as cell trafficking, growth of pollen tubes in model systems such as Neurospora Crassa and Arabidopsis * Discusses the dynamics of intracellular molecules for DNA repair and the regulation of cofilin transport using video analysis * Discusses software, system and database aspects of video bioinformatics by providing examples of 5D cell tracking by FARSIGHT open source toolkit, a survey on available databases and software, biological processes for non-verbal communications and identification and retrieval of moth images This unique text will be of great interest to researchers and graduate students of Electrical Engineering, Computer Science, Bioengineering, Cell Biology, Toxicology, Genetics, Genomics, Bioinformatics, Computer Vision and Pattern Recognition, Medical Image Analysis, and Cell Molecular and Developmental Biology. The large number of example applications will also appeal to application scientists and engineers. Dr. Bir Bhanu is Distinguished Professor of Electrical & C omputer Engineering, Interim Chair of the Department of Bioengineering, Cooperative Professor of Computer Science & Engineering, and Mechanical Engineering and the Director of the Center for Research in Intelligent Systems, at the University of California, Riverside, California, USA. Dr. Prue Talbot is Professor of Cell Biology & Neuroscience and Director of the Stem Cell Center and Core at the University of California Riverside, California, USA.
Videobasierte Kompetenzmessung in der universitären Lehrkräfteausbildung: Evidenz aus Literaturreviews und empirischen Untersuchungen (Perspektiven der Mathematikdidaktik)
by Jonas WeyersInnerhalb der Forschung zur professionellen Kompetenz von Lehrkräften kommen vermehrt videobasierte Kompetenzmessungen zum Einsatz. Durch die Kombination von Videomaterial unterrichtlicher Praxis mit spezifischen Testfragen sollen Rückschlüsse auf handlungsnahe Kompetenzen bzw. sogenannte situationsspezifische Fähigkeiten von Lehrkräften ermöglicht werden. Auf Basis von zwei Literaturreviews untersucht die vorliegende Arbeit die Konzeption und Erfassung situationsspezifischer Fähigkeiten am Beispiel des Konstrukts "Teacher Noticing", welches in der mathematikdidaktischen Forschung besonders verbreitet ist, und gibt einen umfassenden Überblick zu vorliegenden Testinstrumenten, die auf dieses Konstrukt abzielen. Insbesondere wird diskutiert, inwieweit unterschiedliche Messansätze zu vergleichbaren Ergebnissen führen und welche Konsequenzen sich aus der Heterogenität der Messansätze für den wissenschaftlichen Diskurs ergeben. Anhand zweier empirischer Arbeiten wird weiterführend geprüft, inwieweit anspruchsvolle videobasierte Kompetenzmessungen bereits mit Lehramtsstudierenden einsetzbar sind und Rückschlüsse auf deren Kompetenzentwicklung zulassen. Die Ergebnisse stützen dabei grundsätzlich die Einsetzbarkeit in der universitären Phase der Lehrkräfteausbildung, wobei sich nur geringe Zusammenhänge zu den Lerngelegenheiten innerhalb dieses Ausbildungsabschnitts zeigen.
Viele Welten des Alterns
by Andreas Motel-Klingebiel Peter Schimany Helen Baykara-KrummeIn der Alternsforschung wurden Menschen mit Migrationshintergrund bisher weitgehend ausgeblendet und in der Migrationsforschung fanden ältere Menschen kaum Beachtung. Angesichts des zunehmenden Anteils Älterer in der Migrantenbevölkerung wird eine Verknüpfung der beiden Forschungszweige aber immer wichtiger. Das vorliegende Buch widmet sich der Auseinandersetzung mit dem Altern unter Migrationsbedingungen und der Lebensqualität älterer Migrantinnen und Migranten. Auf der Basis theoretischer Reflexionen, empirischer Befunde und politischer Überlegungen bietet der vorliegende Band erstmals einen fundierten Überblick über den aktuellen Kenntnis- und Diskussionsstand im Schnittfeld der beiden Forschungsgebiete.
The Vienna Circle: The Origins of Neo-Positivism
by Victor KraftJoin original Vienna Circle member Victor Kraft in his discussion of the movement for an exclusive insider&’s view of this important point in philosophical history. In this in-depth philosophical study, Victor Kraft explores the role the Vienna Circle had on the international philosophical movement. The Vienna Circle constituted a point of departure for the reawaking, rebirth, and reformation of positivism and empiricism, leading to the creation of the Neo-positivism movement. At the time of The Vienna Circle&’s publication in the 1950s, the Neo-positivism movement stood in the foreground of contemporary philosophy, and it was quite possibly the most significant serious philosophical movement in the period between the two world wars. Making Kraft&’s study of Neo-positivism available to a world audience, Arthur Pap provides a rich and accessible translation from the original German. The book contains detailed expositions, accompanied here and there by criticism, of the Vienna Circle&’s views on the criteria of significance, the nature of logic and mathematics, the phenomenalist analysis of physical concepts, the verification-basis of scientific propositions, the meaning of probability, physicalism, and much more.
A View of Operations Research Applications in Italy, 2018 (AIRO Springer Series #2)
by Mauro Dell’Amico Manlio Gaudioso Giuseppe SteccaThis book presents expert descriptions of the successful application of operations research in both the private and the public sector, including in logistics, transportation, product design, production planning and scheduling, and areas of social interest. Each chapter is based on fruitful collaboration between researchers and companies, and company representatives are among the co-authors. The book derives from a 2017 call by the Italian Operations Research Society (AIRO) for information from members on their activities in promoting the use of quantitative techniques, and in particular operations research techniques, in society and industry. A booklet based on this call was issued for the annual AIRO conference, but it was felt that some of the content was of such interest that it deserved wider dissemination in more detailed form. This book is the outcome. It equips practitioners with solutions to real-life decision problems, offers researchers examples of the practical application of operations research methods, and provides Master’s and PhD students with suggestions for research development in various fields.
Viewpoints: Mathematical Perspective and Fractal Geometry in Art
by Marc Frantz Annalisa CrannellAn undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)
Views and Beliefs in Mathematics Education: The Role Of Beliefs In The Classroom
by Benjamin Rott Günter Törner Joyce Peters-Dasdemir Anne Möller SafrudiannurThe book is made up of 21 chapters from 25 presentations at the 23rd MAVI conference in Essen, which featured Alan Schoenfeld as keynote speaker. Of major interest to MAVI participants is the relationship between teachers’ professed beliefs and classroom practice. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers’ views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. The focus of the second section in this book deals with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. The third section of this book centers on the undercurrents of teaching and learning mathematics, what rises in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research. In this section, papers discuss attitudes towards assessment.
Views on Microstructures in Granular Materials (Advances in Mechanics and Mathematics #44)
by Pasquale Giovine Paolo Maria Mariano Giuseppe MortaraThis contributed volume provides an up-to-date overview of the mechanics of granular materials, ranging from sparse media to soils. With chapters exploring state-of-the-art theoretical, experimental, and applied trends in the study of granular matter in various states, readers will be motivated to learn about the current challenges and potential avenues of exploration in this active area of research. Including a variety of perspectives, this volume will be a valuable reference for audiences in a number of fields. Specific topics covered include:X-ray tomography techniques for analyzing sandEvaluation of effective stress in unsaturated soilsHyper-plasticityWave propagation in granular systemsPartly saturated porous mediaMulti-scale approaches to the dynamics of sparse mediaViews on Microstructures in Granular Materials is an ideal resource for PhD students and researchers in applied mathematics, solid-state physics, civil engineering, and mechanical engineering.
VII Hotine-Marussi Symposium on Mathematical Geodesy
by Pavel Novák Nico Sneeuw Mattia Crespi Fernando SansòThe Hotine-Marussi Symposium is the core meeting of a "think thank", a group scientists in the geodetic environment working on theoretical and methodological subjects, while maintaining the foundations of geodesy to the proper level by corresponding to the strong advancements improved by technological development in the field of ICT, electronic computing, space technology, new measurement devices etc. The proceedings of the symposium cover a broad area of arguments which integrate the foundations of geodesy as a science. The common feature of the papers therefore is not on the object, but rather in the high mathematical standards with which subjects are treated.
Violence in the Heights: The Torn Social Fabric of Inner-city Neighborhoods (Criminology and Justice Studies)
by Eileen M. AhlinGiven the media attention and research focus on big cities with large minority populations, people have grown accustomed to associating violence with these attributes. Violence in the Heights counters that narrative to provide a fresh perspective on inner-city violence with a close look at violence and associated social disorder in a cluster of neighborhoods in a mid-sized, predominantly White city. Eileen M. Ahlin studied 42 residents and their perceptions of and responses to violence to give voice to their experiences. Ahlin provides a historical overview of the neighborhoods and highlights a series of pivotal violent events, and discovers how they differentially impacted residents and their perceptions of safety. Residents reveal how institutional and demographic shifts reduced interpersonal connections and weakened the community's social fabric. A unique take on inner-city violence, Violence in the Heights also details why residents move to other communities when violence increases or, if they remain, adapt to changing conditions. This book will interest mainstream readers interested in learning about urban affairs and the human-interest story as it will track why inner-city residents stay in their neighborhoods or move to other communities when violence increases. This book will also serve as an academic text to outline the changes in violence and community disorder in a mid-sized city that is predominantly White, an understudied aspect of urban violence.
Violet and the Pie of Life
by D. L. GreenThere's no golden ratio for a family, despite what number-crunching Violet might think.Twelve-year-old Violet has two great loves in her life: math and pie. And she loves her parents, even though her mom never stops nagging and her dad can be unreliable. Mom plus Dad doesn't equal perfection. Still, Violet knows her parents could solve their problems if they just applied simple math. #1: Adjust the ratio of Mom's nagging to her compliments. #2: Multiply Dad's funny stories by a factor of three. #3: Add in romantic stuff wherever possible. But when her dad walks out, Violet realizes that the odds do not look good. Why can't her parents get along like popular, perfect Ally's parents? Would it be better to have no dad at all, like her best friend, McKenzie? Violet is considering the data when she and Ally get cast in the school play, and McKenzie doesn't--a probability that Violet never calculated. Maybe friendship and family have more variables than she thought.Filled with warmth, math-y humor, and delicious pie, this heartfelt middle grade read is perfect for fans of The Miscalculations of Lightning Girl. Includes illustrated charts, graphs, and diagrams throughout.
Virtual Barrels: Quantitative Trading in the Oil Market (Springer Texts in Business and Economics)
by Ilia BouchouevThe global oil market is no longer solely influenced by the supply and demand of physical oil barrels. In today's landscape, financial barrels traded by hedge funds using quantitative algorithms and dealers managing large portfolios of oil derivatives are equally crucial in determining the price of oil. This book offers a fascinating insight into the world of oil derivatives, exploring the quantitative models and trading strategies used by professional market participants. With a focus on oil options and volatility trading, the reader is taken on a journey through the story of this market, narrated by one of its pioneers who managed a highly successful trading business for almost a quarter of a century. Bridging the fields of energy economics and mathematical finance, this book demonstrates how the science of trading can unearth unique opportunities in the oil market. Written for aspiring quantitative traders and academic researchers alike, it offers a rare glimpse into the opaque and secretive world of oil derivatives, showcasing how it operates in practice.
Virtual Design and Validation (Lecture Notes in Applied and Computational Mechanics #93)
by Peter Wriggers Olivier Allix Christian WeißenfelsThis book provides an overview of the experimental characterization of materials and their numerical modeling, as well as the development of new computational methods for virtual design. Its 17 contributions are divided into four main sections: experiments and virtual design, composites, fractures and fatigue, and uncertainty quantification. The first section explores new experimental methods that can be used to more accurately characterize material behavior. Furthermore, it presents a combined experimental and numerical approach to optimizing the properties of a structure, as well as new developments in the field of computational methods for virtual design. In turn, the second section is dedicated to experimental and numerical investigations of composites, with a special focus on the modeling of failure modes and the optimization of these materials. Since fatigue also includes wear due to frictional contact and aging of elastomers, new numerical schemes in the field of crack modeling and fatigue prediction are also discussed. The input parameters of a classical numerical simulation represent mean values of actual observations, though certain deviations arise: to illustrate the uncertainties of parameters used in calculations, the book’s final section presents new and efficient approaches to uncertainty quantification.
Virtual Reality Technology in Mining Machinery: Virtual Assembly, Virtual Planning and Virtual Monitoring
by Xuewen Wang Jiacheng Xie Suhua LiThis book focuses on the application of virtual reality (VR) technology in mining machinery. It gives a detailed introduction to the application of VR technology in virtual assembly, virtual planning, and virtual monitoring. Based on the theory of digital twin, VR technology and collaborative control technology are applied to coal mining machinery equipment, which lays a foundation for the digitalization and intellectualization of coal machinery equipment and broadens the application scope of virtual reality technology in the mechanical engineering field. Through the application of VR technology in coal machinery equipment, this book provides new methods and ideas for teaching activities, scientific research activities, and actual production with rich illustrations, related table introduction, unique research ideas, and other unique contents. This book could be a useful reference for researchers in mining machinery, simulation and modeling, computer-aided engineering (CAD and CAE) and design, visualization, mechanical engineering, and other disciplines.