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Linear Systems Theory
by João P. HespanhaLinear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. In this textbook, João Hespanha covers the key topics of the field in a unique lecture-style format, making the book easy to use for instructors and students. He looks at system representation, stability, controllability and state feedback, observability and state estimation, and realization theory. He provides the background for advanced modern control design techniques and feedback linearization, and examines advanced foundational topics such as multivariable poles and zeros, and LQG/LQR.The textbook presents only the most essential mathematical derivations, and places comments, discussion, and terminology in sidebars so that readers can follow the core material easily and without distraction. Annotated proofs with sidebars explain the techniques of proof construction, including contradiction, contraposition, cycles of implications to prove equivalence, and the difference between necessity and sufficiency. Annotated theoretical developments also use sidebars to discuss relevant commands available in MATLAB, allowing students to understand these important tools. The balanced chapters can each be covered in approximately two hours of lecture time, simplifying course planning and student review. Solutions to the theoretical and computational exercises are also available for instructors.Easy-to-use textbook in unique lecture-style format Sidebars explain topics in further detail Annotated proofs and discussions of MATLAB commands Balanced chapters can each be taught in two hours of course lecture Solutions to exercises available to instructors
Linear Systems Theory (Systems Engineering Ser.)
by Ferenc SzidarovszkyThis second edition comprehensively presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms, and more.Linear Systems Theory discusses:Nonlinear and linear systems in the state space form and through the transfer function methodStability, including marginal stability, asymptotical stability, global asymptotical stability, uniform stability, uniform exponential stability, and BIBO stabilityControllabilityObservabilityCanonical formsSystem realizations and minimal realizations, including state space approach and transfer function realizationsSystem designKalman filtersNonnegative systemsAdaptive controlNeural networksThe book focuses mainly on applications in electrical engineering, but it provides examples for most branches of engineering, economics, and social sciences.What's New in the Second Edition?Case studies drawn mainly from electrical and mechanical engineering applications, replacing many of the longer case studiesExpanded explanations of both linear and nonlinear systems as well as new problem sets at the end of each chapterIllustrative examples in all the chaptersAn introduction and analysis of new stability conceptsAn expanded chapter on neural networks, analyzing advances that have occurred in that field since the first editionAlthough more mainstream than its predecessor, this revision maintains the rigorous mathematical approach of the first edition, providing fast, efficient development of the material.Linear Systems Theory enables its reader to develop his or her capabilities for modeling dynamic phenomena, examining their properties, and applying them to real-life situations.
Linear Systems: Non-Fragile Control and Filtering (Automation And Control Engineering Ser. #40)
by Xiang-Gui Guo Guang-Hong Yang Wei-Wei Che Wei GuanLinear Systems: Non-Fragile Control and Filtering presents the latest research results and a systematic approach to designing non-fragile controllers and filters for linear systems. The authors combine the algebraic Riccati technique, the linear matrix inequality (LMI) technique, and the sensitivity analysis method to establish a set of new non-fragile (insensitive) control methods. This proposed method can optimize the closed-loop system performance and make the designed controllers or filters tolerant of coefficient variations in controller or filter gain matrices. A Systematic Approach to Designing Non-Fragile Controllers and Filters for Linear Systems The text begins with developments and main research methods in non-fragile control. It then systematically presents novel methods for non-fragile control and filtering of linear systems with respect to additive/multiplicative controller/filter gain uncertainties. The book introduces the algebraic Riccati equation technique to solve additive/multiplicative norm-bounded controller/filter gain uncertainty, and proposes a structured vertex separator to deal with the numerical problem resulting from interval-bounded coefficient variations. It also explains how to design insensitive controllers and filters in the framework of coefficient sensitivity theory. Throughout, the book includes numerical examples to demonstrate the effectiveness of the proposed design methods. More Effective Design Methods for Non-Fragile Controllers and Filters The design and analysis tools described will help readers to better understand and analyze parameter uncertainties and to design more effective non-fragile controllers and filters. Providing a coherent approach, this book is a valuable reference for researchers, graduate students, and anyone who wants to explore the area of non-fragile control and filtering.
Linear Systems: Optimal and Robust Control
by Alok SinhaBalancing rigorous theory with practical applications, Linear Systems: Optimal and Robust Control explains the concepts behind linear systems, optimal control, and robust control and illustrates these concepts with concrete examples and problems.Developed as a two-course book, this self-contained text first discusses linear systems, incl
Linear Transformation: Examples and Solutions (Mathematical Engineering, Manufacturing, and Management Sciences)
by Nita H. Shah Urmila B. ChaudhariThis book introduces linear transformation and its key results, which have applications in engineering, physics, and various branches of mathematics. Linear transformation is a difficult subject for students. This concise text provides an in-depth overview of linear trans-formation. It provides multiple-choice questions, covers enough examples for the reader to gain a clear understanding, and includes exact methods with specific shortcuts to reach solutions for particular problems. Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of linear transformation to solve their problems. This book will serve their need instead of having to use the more complex texts that contain more concepts then needed. The chapters mainly discuss the definition of linear transformation, properties of linear transformation, linear operators, composition of two or more linear transformations, kernels and range of linear transformation, inverse transformation, one-to-one and onto transformation, isomorphism, matrix linear transformation, and similarity of two matrices.
Linear and Integer Optimization: Theory and Practice, Third Edition (Advances in Applied Mathematics)
by Gerard Sierksma Yori ZwolsPresenting a strong and clear relationship between theory and practice, Linear and Integer Optimization: Theory and Practice is divided into two main parts. The first covers the theory of linear and integer optimization, including both basic and advanced topics. Dantzig's simplex algorithm, duality, sensitivity analysis, integer optimization models
Linear and Non-Linear Deformations of Elastic Solids
by Arabinda Roy Rasajit Kumar BeraLinear and Non-Linear Deformations of Elastic Solids aims to compile the advances in the field of linear and non-linear elasticity through discussion of advanced topics. Broadly classified into two parts, it includes crack, contact, scattering and wave propagation in linear elastic solids and bending vibration, stability in non-linear elastic solids supported by MATLAB examples. This book is aimed at graduate students and researchers in applied mathematics, solid mechanics, applied mechanics, structural mechanics and includes comprehensive discussion of related analytical/numerical methods.
Linear and Non-Linear System Theory
by T Thyagarajan D KalpanaLinear and Non-Linear System Theory focuses on the basics of linear and non-linear systems, optimal control and optimal estimation with an objective to understand the basics of state space approach linear and non-linear systems and its analysis thereof. Divided into eight chapters, materials cover an introduction to the advanced topics in the field of linear and non-linear systems, optimal control and estimation supported by mathematical tools, detailed case studies and numerical and exercise problems. This book is aimed at senior undergraduate and graduate students in electrical, instrumentation, electronics, chemical, control engineering and other allied branches of engineering. Features Covers both linear and non-linear system theory Explores state feedback control and state estimator concepts Discusses non-linear systems and phase plane analysis Includes non-linear system stability and bifurcation behaviour Elaborates optimal control and estimation
Linear and Non-Linear Video and TV Applications
by Daniel MinoliProvides options for implementing IPv6 and IPv6 multicast in service provider networksNew technologies, viewing paradigms, and content distribution approaches are taking the TV/video services industry by storm. Linear and Nonlinear Video and TV Applications: Using IPv6 and IPv6 Multicast identifies five emerging trends in next-generation delivery of entertainment-quality video. These trends are observable and can be capitalized upon by progressive service providers, telcos, cable operators, and ISPs.This comprehensive guide explores these evolving directions in the TV/video services industry, including worldwide deployment of IPv6, IPTV services, web-produced video content, and the plethora of different screens available, from TV to iPad. It offers practical suggestions as to how these technologies can be implemented in service provider networks to support cost-effective delivery of entertainment, and how new revenue-generating services can be brought to market.Important topics include:Evolving video consumption habits and possible network implicationsAn overview of IPv6 address capabilities, protocols, quality of service (QoS), and moreProcess descriptions of IP multicast and IPv6 multicast approaches and challengesA detailed overview of IPTV systems and technologies, including architectural requirements, QoE and QoS, security and content protection, networks, and moreInternet-based TV technologies: streaming, content distribution networks, P2P networks, and cloud computingNon-traditional video content sources and their implicationsLinear and Nonlinear Video and TV Applications: Using IPv6 and IPv6 Multicast is indispensable reading for planners, CTOs, and engineers at broadcast TV operations, Cable TV operations, satellite operations, Internet and IS providers, telcos, and wireless providers.
Linear and Non-linear Numerical Analysis of Foundations
by John W. BullCorrectly understanding, designing and analyzing the foundations that support structures is fundamental to their safety. This book by a range of academic, design and contracting world experts provides a review of the state-of-the-art techniques for modelling foundations using both linear and non linear numerical analysis. It applies to a range of i
Linear and Nonlinear Circuits: Volume 2 (Lecture Notes in Electrical Engineering #620)
by Mauro Parodi Marco StoraceThis book provides readers with the necessary background information and advanced concepts in the field of circuits, at the crossroads between physics, mathematics and system theory. It covers various engineering subfields, such as electrical devices and circuits, and their electronic counterparts. Based on the idea that a modern university course should provide students with conceptual tools to understand the behavior of both linear and nonlinear circuits, to approach current problems posed by new, cutting-edge devices and to address future developments and challenges, the book places equal emphasis on linear and nonlinear, two‐terminal and multi‐terminal, as well as active and passive circuit components. This second volume focuses on dynamical circuits, which are characterized by time evolution and by the concept of state. The content is divided into a set of introductory and a set of advanced‐level topics, mirroring the approach used in the previously published volume. Whenever possible, circuits are compared to physical systems of different natures (e.g. mechanical or biological) that exhibit the same dynamical behavior. The book also features a wealth of examples and numerous solved problems. Further topics, such as a more general framing of linear and nonlinear components, will be discussed in volume 3.
Linear and Nonlinear Control of Small-Scale Unmanned Helicopters
by Ioannis A. Raptis Kimon P. ValavanisThere has been significant interest for designing flight controllers for small-scale unmanned helicopters. Such helicopters preserve all the physical attributes of their full-scale counterparts, being at the same time more agile and dexterous. This book presents a comprehensive and well justified analysis for designing flight controllers for small-scale unmanned helicopters guarantying flight stability and tracking accuracy. The design of the flight controller is a critical and integral part for developing an autonomous helicopter platform. Helicopters are underactuated, highly nonlinear systems with significant dynamic coupling that needs to be considered and accounted for during controller design and implementation. Most reliable mathematical tools for analysis of control systems relate to modern control theory. Modern control techniques are model-based since the controller architecture depends on the dynamic representation of the system to be controlled. Therefore, the flight controller design problem is tightly connected with the helicopter modeling. This book provides a step-by-step methodology for designing, evaluating and implementing efficient flight controllers for small-scale helicopters. Design issues that are analytically covered include: * An illustrative presentation of both linear and nonlinear models of ordinary differential equations representing the helicopter dynamics. A detailed presentation of the helicopter equations of motion is given for the derivation of both model types. In addition, an insightful presentation of the main rotor's mechanism, aerodynamics and dynamics is also provided. Both model types are of low complexity, physically meaningful and capable of encapsulating the dynamic behavior of a large class of small-scale helicopters. * An illustrative and rigorous derivation of mathematical control algorithms based on both the linear and nonlinear representation of the helicopter dynamics. Flight controller designs guarantee that the tracking objectives of the helicopter's inertial position (or velocity) and heading are achieved. Each controller is carefully constructed by considering the small-scale helicopter's physical flight capabilities. Concepts of advanced stability analysis are used to improve the efficiency and reduce the complexity of the flight control system. Controller designs are derived in both continuous time and discrete time covering discretization issues, which emerge from the implementation of the control algorithm using microprocessors. * Presentation of the most powerful, practical and efficient methods for extracting the helicopter model parameters based on input/output responses, collected by the measurement instruments. This topic is of particular importance for real-life implementation of the control algorithms. This book is suitable for students and researches interested in the development and the mathematical derivation of flight controllers for small-scale helicopters. Background knowledge in modern control is required.
Linear and Nonlinear Instabilities in Mechanical Systems: Analysis, Control and Application
by Hiroshi YabunoLinear and Nonlinear Instabilities in Mechanical Systems: Analysis, Control and Application Hiroshi Yabuno, University of Tsukuba, Japan An in-depth insight into nonlinear analysis and control As mechanical systems become lighter, faster, and more flexible, various nonlinear instability phenomena can occur in practical systems. The fundamental knowledge of nonlinear analysis and control is essential to engineers for analysing and controlling nonlinear instability phenomena. The book bridges the gap between the mathematical expressions of nonlinear dynamics and the corresponding practical phenomena. Linear and Nonlinear Instabilities in Mechanical Systems: Analysis, Control and Application provides a detailed and informed insight into the fundamental methods for analysis and control for nonlinear instabilities from the practical point of view. Key features: Refers to the behaviours of practical mechanical systems as aircraft, railway vehicle, robot manipulator, micro/nano sensor Enhances the rigorous and practical understanding of mathematical methods from an engineering point of view. The theoretical results obtained by nonlinear analysis are interpreted by using accompanied videos on the real nonlinear behaviors of nonlinear mechanical systems. Linear and Nonlinear Instabilities in Mechanical Systems: Analysis, Control and Application is an essential textbook for students on engineering courses, and can also be used for self-study or reference by engineers.
Linear and Nonlinear Optical Responses of Chiral Multifold Semimetals (Springer Theses)
by Miguel Ángel Sánchez MartínezSince the initial predictions for the existence of Weyl fermions in condensed matter, many different experimental techniques have confirmed the existence of Weyl semimetals. Among these techniques, optical responses have shown a variety of effects associated with the existence of Weyl fermions. In chiral crystals, we find a new type of fermions protected by crystal symmetries — the chiral multifold fermions — that can be understood as a higher-spin generalization of Weyl fermions.This work provides a complete description of all chiral multifold fermions, studying their topological properties and the k·p models describing them. We compute the optical conductivity of all chiral multifold fermions and establish their optical selection rules. We find that the activation frequencies are different for each type of multifold fermion, thus constituting an experimental fingerprint for each type of multifold fermion.Building on the theoretical results obtained in the first part of our analysis, we study two chiral multifold semimetals: RhSi and CoSi. We analyze the experimental results with k·p and tight-binding models based on the crystal symmetries of the material. We trace back the features observed in the experimental optical conductivity to the existence of multifold fermions near the Fermi level and estimate the chemical potential and the scattering lifetime in both materials.Finally, we provide an overview of second-order optical responses and study the second-harmonic generation of RhSi. We find a sizeable second-harmonic response in the low-energy regime associated with optical transitions between topological bands. However, this regime is extremely challenging to access with the current experimental techniques.We conclude by providing an overview of the main results, highlighting potential avenues to further research on chiral multifold semimetals and the future of optical responses as experimental probes to characterize topological phases.
Linear and Nonlinear Optical Spectroscopy and Microscopy (Progress in Optical Science and Photonics #29)
by Rui Li Mengtao Sun Xijiao MuThe nonlinear optical spectrum signal technology is a new type of optical characterization technology owing to its non-invasiveness and good biocompatibility. This book highlights a comprehensive introduction to the Stimulated Raman scattering (SRS), Anti-Stokes Raman Spectroscopy (CARS), Two-photon Excited Fluorescence (TPEF) and Second Harmonic Generation signals (SHG) technologies. The four types of nonlinear optical signals technologies, especially two-dimensional and three-dimensional imaging, have great application potential in physics, materials science, chemistry and biomedicine. The book covers principles, theoretical calculation methods, signal measurement methods and imaging specific methods. The theoretical part starts from the basics of nonlinear optics and the relationship with strong light, and gradually transitions to theoretical calculation methods for specific optical signals. it combines the classical theory and the quantum theory to help readers develop a thorough understanding of the technologies. The book is a good reference for graduate students majored in physics and chemistry and for researchers working on optics, photonics and materials science.
Linear and Nonlinear Programming with Maple: An Interactive, Applications-Based Approach
by Paul E. FishbackHelps Students Understand Mathematical Programming Principles and Solve Real-World ApplicationsSupplies enough mathematical rigor yet accessible enough for undergraduatesIntegrating a hands-on learning approach, a strong linear algebra focus, Maple software, and real-world applications, Linear and Nonlinear Programming with Maple : An Interactive,
Linear and Nonlinear Rotordynamics: A Modern Treatment with Applications (Wiley Series In Nonlinear Science Ser. #Vol. 11)
by Yukio Ishida Toshio YamamotoA wide-ranging treatment of fundamental rotordynamics in order to serve engineers with the necessary knowledge to eliminate various vibration problems. New to this edition are three chapters on highly significant topics: Vibration Suppression - The chapter presents various methods and is a helpful guidance for professional engineers. Magnetic Bearings - The chapter provides fundamental knowledge and enables the reader to realize simple magnetic bearings in the laboratory. Some Practical Rotor Systems - The chapter explains various vibration characteristics of steam turbines and wind turbines. The contents of other chapters on Balancing, Vibrations due to Mechanical Elements, and Cracked Rotors are added to and revised extensively. The authors provide a classification of rotating shaft systems and general coverage of key ideas common to all branches of rotordynamics. They offers a unique analysis of dynamical problems, such as nonlinear rotordynamics, self-excited vibration, nonstationary vibration, and flow-induced oscillations. Nonlinear resonances are discussed in detail, as well as methods for shaft stability and various theoretical derivations and computational methods for analyzing rotors to determine and correct vibrations. This edition also includes case studies and problems.
Linear and Nonlinear System Modeling
by Tamal Roy Suman Lata Tripathi Souvik GanguliWritten and edited by a team of experts in the field, this exciting new volume presents the cutting-edge techniques, latest trends, and state-of-the-art practical applications in linear and nonlinear system modeling. Mathematical modeling of control systems is, essentially, extracting the essence of practical problems into systematic mathematical language. In system modeling, mathematical expression deals with modeling and its applications. It is characterized that how a modeling competency can be categorized and its activity can contribute to building up these competencies. Mathematical modeling of a practical system is an attractive field of research and an advanced subject with a variety of applications. The main objective of mathematical modeling is to predict the behavior of the system under different operating conditions and to design and implement efficient control strategies to achieve the desired performance. A considerable effort has been directed to the development of models, which must be understandable and easy to analyze. It is a very difficult task to develop mathematical modeling of complicated practical systems considering all its possible high-level non-linearity and cross couple dynamics. Although mathematical modeling of nonlinear systems sounds quite interesting, it is difficult to formulate the general solution to analyze and synthesize nonlinear dynamical systems. Most of the natural processes are nonlinear, having very high computational complexity of several numerical issues. It is impossible to create any general solution or individual procedure to develop exact modeling of a non-linear system, which is often improper and too complex for engineering practices. Therefore, some series of approximation procedures are used, in order to get some necessary knowledge about the nonlinear system dynamics. There are several complicated mathematical approaches for solving these types of problems, such as functional analysis, differential geometry or the theory of nonlinear differential equations.
Linear and Nonlinear Waves in Microstructured Solids: Homogenization and Asymptotic Approaches
by Jan Awrejcewicz Igor V. Andrianov Vladyslav DanishevskyyThis book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids, the book determines their global characteristics through analysis of their internal structure, using homogenization and asymptotic procedures, in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design, non-destructive control and in deep seismic sounding, providing a valuable alternative to widely used numerical methods. Using case studies, the book covers topics such as elastic waves in nonhomogeneous materials, regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students, research engineers, and professionals specialising in mathematics and physics as well as mechanical and civil engineering.
Linear and Switch-Mode RF Power Amplifiers: Design and Implementation Methods
by Abdullah ErogluRF power amplifiers are implemented in communication, semiconductor wafer processing, magnetic resonance imaging (MRI), and radar systems to produce RF signal with the desired characteristics to perform several critical tasks in the entire system. <P><P> They can be designed to operate in linear or switch-mode, depending on the specific application. This book explores the design and implementation methods for both linear and switch-mode amplifiers with real world engineering problems. The text discusses phased controlled switch-mode amplifiers and distortion and modulation effects in RF amplifiers. It illustrates the interface and integration of components and sub-systems for RF amplifiers. The material is further reinforced with MATLAB design files.
Lineare Kirchhoff-Netzwerke: Grundlagen, Analyse und Synthese
by Reiner ThieleDas Buch vermittelt ausgehend von den Grundlagen der Netzwerk-Theorie neuartige Analyse- und Syntheseverfahren für lineare zeitinvariante Kirchhoff-Netzwerke. Hierzu verwendet der Autor als Elementarnetzwerke gewöhnliche Widerstände, Kondensatoren und Spulen sowie die sogenannten pathologischen Unternetzwerke Nullator, Norator und Nullor. Der Nullor besteht dabei aus einem Nullator und einem Norator, wird hinsichtlich seines Klemmenverhaltens durch die Belevitch-Darstellung beschrieben und näherungsweise durch einen Operationsverstärker realisiert. Zur Analyse oder Synthese erfolgt die Zerlegung in realisierbare Unternetzwerke mit dem Verfahren der Singulärwert-Zerlegung von Matrizen. Außerdemzeigt Reiner Thiele, wie durch die Applikation vonKlemmen-Äquivalenzenpraxisrelevante elektrische oder elektronische Schaltungen entstehen.
Lineare Kirchhoff-Netzwerke: Grundlagen, Analyse und Synthese
by Reiner ThieleDas Buch vermittelt ausgehend von den Grundlagen der Netzwerk-Theorie neuartige Analyse- und Syntheseverfahren für lineare zeitinvariante Kirchhoff-Netzwerke. Hierzu verwendet der Autor als Elementarnetzwerke gewöhnliche Widerstände, Kondensatoren und Spulen sowie die sogenannten pathologischen Unternetzwerke Nullator, Norator und Nullor. Der Nullor besteht dabei aus einem Nullator und einem Norator, wird hinsichtlich seines Klemmenverhaltens durch die Belevitch-Darstellung beschrieben und näherungsweise durch einen Operationsverstärker realisiert. Zur Analyse oder Synthese erfolgt die Zerlegung in realisierbare Unternetzwerke mit dem Verfahren der Singulärwert-Zerlegung von Matrizen. Außerdem zeigt Reiner Thiele, wie durch die Applikation von Klemmen-Äquivalenzen praxisrelevante elektrische oder elektronische Schaltungen entstehen.
Lineare Kirchhoff-Netzwerke: Grundlagen, Analyse und Synthese
by Reiner ThieleDas Buch vermittelt ausgehend von den Grundlagen der Netzwerk-Theorie neuartige Analyse- und Syntheseverfahren für lineare zeitinvariante Kirchhoff-Netzwerke. Hierzu verwendet der Autor als Elementarnetzwerke gewöhnliche Widerstände, Kondensatoren und Spulen sowie die sogenannten pathologischen Unternetzwerke Nullator, Norator und Nullor. Der Nullor besteht dabei aus einem Nullator und einem Norator, wird hinsichtlich seines Klemmenverhaltens durch die Belevitch-Darstellung beschrieben und näherungsweise durch einen Operationsverstärker realisiert. Zur Analyse oder Synthese erfolgt die Zerlegung in realisierbare Unternetzwerke mit dem Verfahren der Singulärwert-Zerlegung von Matrizen. Außerdem zeigt Reiner Thiele, wie durch die Applikation von Klemmen-Äquivalenzen praxisrelevante elektrische oder elektronische Schaltungen entstehen.
Lineare Wälzführungen: Anforderungen, Auswahl, Auslegung, Ausführungsbeispiele, Schadensfälle
by Andreas Hirsch Hans Georg Hoyer Uwe MahnDieses Fachbuch stellt anschaulich und praxisnah das aktuelle Ingenieurwissen zu Anforderungen, Aufbau, Funktionsweise und Auslegung linearer Wälzführungen im Bereich des Maschinenbaus dar. Dabei wird die Vielfalt möglicher Ausführungen mit ihren Einsatzmöglichkeiten vorgestellt. Es werden ausführlich die Wirkmechanismen, deren konstruktive Umsetzung und die Berechnung zur Auslegung solcher Systeme behandelt. In der Praxis bewährte Lösungen sowie aufgetretene Schadensfälle werden aufgezeigt und analysiert. Das Buch ist ein hilfreiches Nachschlagewerk und unterstützt bei der Auswahl, Auslegung und Beurteilung linearer Wälzführungen. Es dient als zuverlässiger Ratgeber bei der Entwicklung von Maschinen, bei der Gestaltung von Führungen für Positionier- und Transportaufgaben sowie der Konstruktion von genauigkeitsbestimmenden Führungen in Werkzeugmaschinen. Die vorliegende Auflage wurde überarbeitet und Beispiele zur Auslegung und Berechnungen wurden neu eingefügt.
Linearly Polarized IR Spectroscopy: Theory and Applications for Structural Analysis
by Bojidarka Ivanova Tsonko KolevA technique that is useful in the study of pharmaceutical products and biological molecules, polarization IR spectroscopy has undergone continuous development since it first emerged almost 100 years ago. Capturing the state of the science as it exists today, Linearly Polarized IR Spectroscopy: Theory and Applications for Structural Analysis demonstrates how the technique can be properly utilized to obtain important information about the structure and spectral properties of oriented compounds.The book starts with the theoretical basis of linear-dichroic infrared (IR-LD) spectroscopy and then moves on to examine the background of the orientation method of colloid suspensions in a nematic host. It explores the orientation procedure itself, experimental design, and mathematical tools for the interpretation of the IR spectroscopic patterns. Next, the authors describe the structural elucidation of inorganic and organic compounds and glasses. Finally, they discuss applications in pharmaceutical analysis and the chemistry of dyes. Filled with more than 140 illustrations along with a color insert, the book explains both the scope of the polarized IR spectroscopy method as well as its limitations.A powerful source of information not only for specialists in IR spectroscopy, but also for those working in the field of structural analysis, this volume moves the field closer to developing an inherently classical method for the structural characterization of compounds.