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Author : Wilfred E. Baker
Publisher : Unknown
Page : 128 pages
File Size : 53,8 Mb
Release : 1973
Category : Electronic
ISBN : OCLC:252246710
Author : P.S. Westine,F.T. Dodge,W.E. Baker
Publisher : Elsevier
Page : 397 pages
File Size : 47,8 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780444598134
Here is the second revised and updated edition of probably the most practical sourcebook on similarity methods and modeling techniques available. Written by leading authorities who incorporate many of the latest advances in the field, this new work maps out techniques for modeling as well as instrumentation and data analysis for an extremely wide array of problems in engineering dynamics. This practical reference uses experimental test data on various engineering problems demonstrating exactly how and why these similarity methods work. The problems involve spread of oil slicks, explosive cratering, car crashes, space vehicle heat exchange, explosive forming, and more. The spectrum of topics covered and number of examples are far greater than in other texts. Of particular importance are the dissimilar material modeling techniques which bring new versatility and freedom to the modeler in structural dynamics. The book also contains a clear, in-depth discussion of the theory underlying modeling and includes alternate methods for developing model laws. The work will undoubtedly prove invaluable to every professional involved in testing or design of dynamic experiments.
Author : W. E. Baker,Peter S. Westine,Franklin T. Dodge
Publisher : Unknown
Page : 418 pages
File Size : 54,9 Mb
Release : 1973
Category : Dynamics
ISBN : UCSD:31822023795651
Author : Wilfred E. Baker
Publisher : Sams
Page : 128 pages
File Size : 46,6 Mb
Release : 1973-06-01
Category : Electronic
ISBN : 0810492148
Author : Bahman Zohuri
Publisher : Springer
Page : 372 pages
File Size : 55,7 Mb
Release : 2015-04-15
Category : Technology & Engineering
ISBN : 9783319134765
This ground-breaking reference provides an overview of key concepts in dimensional analysis, and then pushes well beyond traditional applications in fluid mechanics to demonstrate how powerful this tool can be in solving complex problems across many diverse fields. Of particular interest is the book’s coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering. Numerous practical examples of dimensional problems are presented throughout, allowing readers to link the book’s theoretical explanations and step-by-step mathematical solutions to practical implementations.
Author : L. I. Sedov
Publisher : CRC Press
Page : 230 pages
File Size : 52,6 Mb
Release : 2018-05-04
Category : Science
ISBN : 9781351416566
Similiarity and Dimensional Methods in Mechanics, 10th Edition is an English language translation of this classic volume examining the general theory of dimensions of physical quantities, the theory of mechanical and physical similarity, and the theory of modeling. Several examples illustrate the use of the theories of similarity and dimensions for establishing fundamental mechanical regularities in aviation, explosions, and astrophysics, as well as in the hydrodynamics of ships. Other interesting areas covered include the general theory of automodel motions of continuum media, the theory of propagation of explosion waves in gases, the theory of one-dimensional nonestablished motion in gases, the fundamentals of the gas-dynamics theory of atom-bomb explosion in the atmosphere and the theory of averaging of gaseous flows in channels. Aspects of modeling include the dimensionless characteristics of compressor operation, the theories of engine thrust, and efficiency of an ideal propeller for subsonic and supersonic speeds. Similiarity and Dimensional Methods in Mechanics, 10th Edition is an ideal volume for researchers and students involved in physics and mechanics.
Author : Claus Weiland
Publisher : Springer Nature
Page : 199 pages
File Size : 40,8 Mb
Release : 2020-06-29
Category : Science
ISBN : 9783030429300
The mechanics of similarity encompasses the analysis of dimensions, performed by various procedures, the gasdynamic similarity and the model technology. The analysis of dimensions delivers the dimensionless numbers by which specific physical challenges can be described with a reduced number of variables. Thereby the assessment of physical problems is facilitated. For fluid dynamics and all sorts of heat transfer the discipline of the mechanics of similarity was so important in the past, that the historical background is highlighted of all the persons who have contributed to the development of this discipline. The goal of the classical gasdynamic similarity was to find rules, which enables the aerodynamic engineer to perform transformations from existing flow fields to others, which meet geometrical and other specific flow field parameters. Most of these rules and findings do no longer play a role today, because a lot of potent experimental and theoretical/numerical methods are now available. This problem is addressed in the book. A recent investigation regarding the longitudinal aerodynamics of space vehicles has revealed, that there exist other astonishing similarities for hypersonic and supersonic flight Mach numbers. It seems, that obviously most of the longitudinal aerodynamics is independent from the geometrical configurations of the space vehicle considered, if a simple transformation is applied. A section of this book is devoted to these new findings.
Author : Jean-François Ganghoffer,Ivaïlo Mladenov
Publisher : Springer
Page : 380 pages
File Size : 48,9 Mb
Release : 2014-07-19
Category : Science
ISBN : 9783319082967
The principle aim of the book is to present a self-contained, modern account of similarity and symmetry methods, which are important mathematical tools for both physicists, engineers and applied mathematicians. The idea is to provide a balanced presentation of the mathematical techniques and applications of symmetry methods in mathematics, physics and engineering. That is why it includes recent developments and many examples in finding systematically conservation laws, local and nonlocal symmetries for ordinary and partial differential equations. The role of continuous symmetries in classical and quantum field theories is exposed at a technical level accessible even for non specialists. The importance of symmetries in continuum mechanics and mechanics of materials is highlighted through recent developments, such as the construction of constitutive models for various materials combining Lie symmetries with experimental data. As a whole this book is a unique collection of contributions from experts in the field, including specialists in the mathematical treatment of symmetries, researchers using symmetries from a fundamental, applied or numerical viewpoint. The book is a fascinating overview of symmetry methods aimed for graduate students in physics, mathematics and engineering, as well as researchers either willing to enter in the field or to capture recent developments and applications of symmetry methods in different scientific fields.
Author : Josef Kuneš
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 47,6 Mb
Release : 2012-04-05
Category : Technology & Engineering
ISBN : 9781907343780
The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the reader with a general tool-box to apply to their specific needs. Two important tools are presented: dimensional analysis and the similarity analysis methods. The fundamental point of view, enabling one to sort all models, is that of information flux between a model and an original expressed by the similarity and abstraction Each chapter includes original examples and applications. In this respect, the models can be divided into several groups. The following models are dealt with separately by chapter; mathematical and physical models, physical analogues, deterministic, stochastic, and cybernetic computer models. The mathematical models are divided into asymptotic and phenomenological models. The phenomenological models, which can also be called experimental, are usually the result of an experiment on an complex object or process. The variable dimensionless quantities contain information about the real state of boundary conditions, parameter (non-linearity) changes, and other factors. With satisfactory measurement accuracy and experimental strategy, such models are highly credible and can be used, for example in control systems.
Author : Bahman Zohuri
Publisher : Unknown
Page : 128 pages
File Size : 47,7 Mb
Release : 2015
Category : Electronic
ISBN : 3319134779
· Provides innovative techniques for solving complex nonlinear partial differential equations, previously only available to scientists involved in classified government funded projects. · Goes beyond the traditional Pi (Buckingham) Theorem method to apply dimensional analysis to gas dynamics and thermal hydraulics problems where both laminar and turbulent fluids come into play · Includes specific examples demonstrating how dimensional analysis can shed light on applications from shock wave impact prediction to plasma confinement. · Presents a unique approach to similarity methods by discussing Chaos, Fractals and Arcadia, in addition to the more common Self-Similarity and Fractals Techniques This ground-breaking reference provides an overview of key concepts in dimensional analysis and the scientific approach of similarity methods, including a uniquely robust discussion on self-similarity solutions of the First and Second kinds. The coverage pushes well beyond traditional applications in fluid mechanics and gas dynamics to demonstrate how powerful self-similarity can be in solving complex problems across many diverse fields, using nonlinear Partial Differential Equations (PDEs) by reducing them to Ordinary Differential Equations (ODEs) with a simple traditional analytical solution approach. Of particular interest is the book's coverage of dimensional analysis and self-similarity methods in nuclear and energy engineering from Heat Transfer and Thermal Hydraulic points of view. Numerous practical examples of dimensional analysis problems are presented throughout each chapter, with additional problems presented in each appendix, allowing readers to link the book's theoretical explanations and step-by-step mathematical solutions to practical implementations.
Author : William Graebel
Publisher : CRC Press
Page : 704 pages
File Size : 44,8 Mb
Release : 2001-01-19
Category : Technology & Engineering
ISBN : 1560327111
Fluid mechanics is a core component of many undergraduate engineering courses. It is essential for both students and lecturers to have a comprehensive, highly illustrated textbook, full of exercises, problems and practical applications to guide them through their study and teaching. Engineering Fluid Mechanics By William P. Grabel is that book The ISE version of this comprehensive text is especially priced for the student market and is an essential textbook for undergraduates (particularly those on mechanical and civil engineering courses) designed to emphasis the physical aspects of fluid mechanics and to develop the analytical skills and attitudes of the engineering student. Example problems follow most of the theory to ensure that students easily grasp the calculations, step by step processes outline the procedure used, so as to improve the students' problem solving skills. An Appendix is included to present some of the more general considerations involved in the design process. The author also links fluid mechanics to other core engineering courses an undergraduate must take (heat transfer, thermodynamics, mechanics of materials, statistics and dynamics) wherever possible, to build on previously learned knowledge.
Author : Gabi Ben-Dor,Anatoly Dubinsky,Tov Elperin
Publisher : World Scientific
Page : 696 pages
File Size : 47,7 Mb
Release : 2013-06-07
Category : Technology & Engineering
ISBN : 9789814439060
This important monograph is the first comprehensive compendium of engineering models used in high-speed penetration mechanics. The book consists of two parts. The first part (more than a quarter of the book's content) is in fact a handbook giving a very detailed summary of the engineering models used for the analysis of high-speed penetration of rigid projectiles into various media (concrete, metals, geological media). The second part of the book demonstrates the possibilities and efficiency of using approximate models for investigating traditional and nontraditional problems of penetration mechanics. Different chapters in the books are devoted to different classes of problems and can be read independently. Each chapter is self-contained, which includes a comprehensive literature survey of the topic, and carries a list of used notations. The bibliography includes more than 700 references. This monograph is a reliable and indispensable reference guide for anyone interested in using engineering models in high-speed penetration mechanics. Contents:Some Conventional Approaches to Penetration Modeling:Localized Interaction Models (LIMs)Cavity Expansion ApproximationsPenetration into Concrete Shields:Empirical ModelsAnalytical ModelsPenetration into Metallic Shields:Empirical ModelsAnalytical ModelsPenetration into Geological Shields:Empirical ModelsAnalytical ModelsSome Special Inverse Problems:Theoretical Basis of the MethodApplication to Penetration MechanicsMethod of Basic Impactors for Prediction of Penetration and Perforation:Simplified Version of the MethodComplete Version of the MethodShape Optimization of Impactors:SurveyPenetration with Non-Constant FrictionSemi-Infinite Concrete ShieldsMetal Shields with a Finite ThicknessFiber Reinforced Plastic LaminatesEffectiveness of Segmented Impactors:High-Speed Impact. Simplified Discrete ModelHigh-Speed Impact. Generalized Discrete and Continuous ModelsHypervelocity ImpactModeling and Optimal Control of Impactors with Jet Thruster:Application of Two-Term Model of PenetrationApplication of the Modified Young ModelEffect of Order of Plates, Layering and Spacing on Protective Properties of Ductile Shields:SurveyEffect of Spacing for Non-Conical Impactors. Numerical SimulationEffect of Order of Plates for Non-Conical Impactors. Numerical SimulationEffect of Layering. Theoretical AnalysisOptimization of Multi-Layer ShieldsSome Optimization Problems for Non-Homogeneous Non-Ductile Shields:Optimization of Reinforced Concrete Panels with Steel LinerOptimization of Two-Component Armor against Single and Repeated ImpactsAppendix:Properties of Convex/Concave Increasing Positive Functions Readership: Professionals, academics, researchers and graduate students in engineering mechanics, mechanical engineering, materials science, civil engineering and ocean engineering. Keywords:Impact;Penetration;Perforation;Impactor;Projectile;High Speed;Target;Rod;Cavity Expansion;Armor;Jet ThrusterReviews: “Because there are very few books on this topic, if you are interested in this research area, this is definitely an interesting book.” IEEE Electrical Insulation Magazine
Author : Matthew S. Allen,Daniel Rixen,Maarten van der Seijs,Paolo Tiso,Thomas Abrahamsson,Randall L. Mayes
Publisher : Springer
Page : 277 pages
File Size : 55,8 Mb
Release : 2019-08-01
Category : Technology & Engineering
ISBN : 9783030255329
This book reviews the most common state-of-the art methods for substructuring and model reduction and presents a framework that encompasses most method, highlighting their similarities and differences. For example, popular methods such as Component Mode Synthesis, Hurty/Craig-Bampton, and the Rubin methods, which are popular within finite element software, are reviewed. Similarly, experimental-to-analytical substructuring methods such as impedance/frequency response based substructuring, modal substructuring and the transmission simulator method are presented. The overarching mathematical concepts are reviewed, as well as practical details needed to implement the methods. Various examples are presented to elucidate the methods, ranging from academic examples such as spring-mass systems, which serve to clarify the concepts, to real industrial case studies involving automotive and aerospace structures. The wealth of examples presented reveal both the potential and limitations of the methods.
Author : Леонид Иванович Седов
Publisher : Unknown
Page : 398 pages
File Size : 49,8 Mb
Release : 1959
Category : Dimensional analysis
ISBN : MINN:319510009543355
Author : F. M. Borodich
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 43,9 Mb
Release : 2008-11-14
Category : Science
ISBN : 9781402090332
This volume constitutes the Proceedings of the IUTAM Symposium on ‘Scaling in Solid Mechanics’, held in Cardiff from 25th to 29th June 2007. The Symposium was convened to address and place on record topical issues in theoretical, experimental and computational aspects of scaling approaches to solid mechanics and related elds. Scaling is a rapidly expanding area of research having multidisciplinary - plications. The expertise represented in the Symposium was accordingly very wide, and many of the world’s greatest authorities in their respective elds participated. Scaling methods apply wherever there is similarity across many scales or one need to bridge different scales, e. g. the nanoscale and macroscale. The emphasis in the Symposium was upon fundamental issues such as: mathematical foundations of scaling methods based on transformations and connections between multi-scale approaches and transformations. The Symposium remained focussed on fundam- tal research issues of practical signi cance. The considered topics included damage accumulation, growth of fatigue cracks, development of patterns of aws in earth’s core and inice, abrasiveness of rough surfaces, and soon. The Symposium consisted of forty-two oral presentations. All of the lectures were invited. Full record of the programme appears as an Appendix. Several of the lectures are not represented, mainly because of prior commitments to publish elsewhere. The proceedings p- vide a reasonable picture of understanding as it exists at present. The Symposium showed that scaling methods cannot be reduced solely to dimensional analysis and fractal approaches.
