The purpose of this book is to give a basic understanding of rotor dynamics phenomena with the help of simple rotor models and subsequently, the modern analysis methods for real life rotor systems. This background will be helpful in the identification of rotor-bearing system parameters and its use in futuristic model-based condition monitoring and, fault diagnostics and prognostics. The book starts with introductory material for finite element methods and moves to linear and non-linear vibrations, continuous systems, vibration measurement techniques, signal processing and error analysis, general identification techniques in engineering systems, and MATLAB analysis of simple rotors. Key Features: * Covers both transfer matrix methods (TMM) and finite element methods (FEM) * Discusses transverse and torsional vibrations * Includes worked examples with simplicity of mathematical background and a modern numerical method approach * Explores the concepts of instability analysis and dynamic balancing * Provides a basic understanding of rotor dynamics phenomena with the help of simple rotor models including modern analysis methods for real life rotor systems.

This edition features a new chapter on computational methods that presents the basic principles on which most modern computer programs are developed. It introduces an example on rotor balancing and expands on the section on shock spectrum and isolation.

This well-organized book uses 3x3 coordinate-transformation matrices and 3-element vectors with dual-number elements to analyze the mechanics of mechanism, robots, and other mechanical systems.
Dual-Number Methods in Kinematics, Statics and Dynamics serves as a text for a course using dual-number methods as well as a manual for the reader to develop his or her abilities for the design of machinery or evaluation of mechanical systems. In addition to the explanatory text and derivations, the author includes numerous examples and exercises to enable the reader to gain insight and perfect skills.

This is the first book of its kind that describes the use of ANSYS (R) finite element analysis (FEA) software, and MATLAB (R) engineering programming software to solve acoustic problems. It covers simple text book problems, such as determining the natural frequencies of a duct, to progressively more complex problems that can only be solved using FEA software, such as acoustic absorption and fluid-structure-interaction. It also presents benchmark cases that can be used as starting points for analysis. There are practical hints too for using ANSYS software. The material describes how to solve numerous problems theoretically, and how to obtain solutions from the theory using MATLAB engineering software, as well as analyzing the same problem using ANSYS Workbench and ANSYS Mechanical APDL. Free downloads are provided on http://www.mecheng.adelaide.edu.au/avc/software, including MATLAB source code, ANSYS APDL models, and ANSYS Workbench models Includes readers' techniques and tips for new and experienced users of ANSYS software Identifies bugs and deficiencies to help practitioners avoid making mistakes It can be used as a textbook for graduate students in acoustics, vibration, and related areas in engineering; undergraduates in mechanical and electrical engineering; and as an authoritative reference for industry professionals.

Effectively Construct Integral Formulations Suitable for Numerical Implementation Finite Element and Boundary Methods in Structural Acoustics and Vibration provides a unique and in-depth presentation of the finite element method (FEM) and the boundary element method (BEM) in structural acoustics and vibrations. It illustrates the principles using a logical and progressive methodology which leads to a thorough understanding of their physical and mathematical principles and their implementation to solve a wide range of problems in structural acoustics and vibration. Addresses Typical Acoustics, Electrodynamics, and Poroelasticity Problems It is written for final-year undergraduate and graduate students, and also for engineers and scientists in research and practice who want to understand the principles and use of the FEM and the BEM in structural acoustics and vibrations. It is also useful for researchers and software engineers developing FEM/BEM tools in structural acoustics and vibration. This text: Reviews current computational methods in acoustics and vibrations with an emphasis on their frequency domains of applications, limitations, and advantages Presents the basic equations governing linear acoustics, vibrations, and poroelasticity Introduces the fundamental concepts of the FEM and the BEM in acoustics Covers direct, indirect, and variational formulations in depth and their implementation and use are illustrated using various acoustic radiation and scattering problems Addresses the exterior coupled structural-acoustics problem and presents several practical examples to demonstrate the use of coupled FEM/BEM tools, and more Finite Element and Boundary Methods in Structural Acoustics and Vibration utilizes authors with extensive experience in developing FEM- and BEM-based formulations and codes and can assist you in effectively solving structural acoustics and vibration problems. The content and methodology have been thoroughly class tested with graduate students at University of Sherbrooke for over ten years.

Performance-based Earthquake Engineering has emerged before the turn of the century as the most important development in the field of Earthquake Engineering during the last three decades. It has since then started penetrating codes and standards on seismic assessment and retrofitting and making headway towards seismic design standards for new structures as well. The US have been a leader in Performance-based Earthquake Engineering, but also Europe is a major contributor. Two Workshops on Performance-based Earthquake Engineering, held in Bled (Slovenia) in 1997 and 2004 are considered as milestones. The ACES Workshop in Corfu (Greece) of July 2009 builds on them, attracting as contributors world-leaders in Performance-based Earthquake Engineering from North America, Europe and the Pacific rim (Japan, New Zealand, Taiwan, China). It covers the entire scope of Performance-based Earthquake Engineering: Ground motions for performance-based earthquake engineering; Methodologies for Performance-based seismic design and retrofitting; Implementation of Performance-based seismic design and retrofitting; and Advanced seismic testing for performance-based earthquake engineering.

Audience: This volume will be of interest to scientists and advanced practitioners in structural earthquake engineering, geotechnical earthquake engineering, engineering seismology, and experimental dynamics.

This book focuses on the development and methodologies of trajectory control of differential-drive wheeled nonholonomic mobile robots. The methodologies are based on kinematic models (posture and configuration) and dynamic models, both subject to uncertainties and/or disturbances. The control designs are developed in rectangular coordinates obtained from the first-order sliding mode control in combination with the use of soft computing techniques, such as fuzzy logic and artificial neural networks. Control laws, as well as online learning and adaptation laws, are obtained using the stability analysis for both the developed kinematic and dynamic controllers, based on Lyapunov's stability theory. An extension to the formation control with multiple differential-drive wheeled nonholonomic mobile robots in trajectory tracking tasks is also provided. Results of simulations and experiments are presented to verify the effectiveness of the proposed control strategies for trajectory tracking situations, considering the parameters of an industrial and a research differential-drive wheeled nonholonomic mobile robot, the PowerBot. Supplementary materials such as source codes and scripts for simulation and visualization of results are made available with the book.

Stability and Vibrations of Thin-Walled Composite Structures presents engineering and academic knowledge on the stability (buckling and post buckling) and vibrations of thin walled composite structures like columns, plates, and stringer stiffened plates and shells, which form the basic structures of the aeronautical and space sectors. Currently, this knowledge is dispersed in several books and manuscripts, covering all aspects of composite materials. The book enables both engineers and academics to locate valuable, up-to-date knowledge on buckling and vibrations, be it analytical or experimental, and use it for calculations or comparisons. The book is also useful as a textbook for advanced-level graduate courses.

Mechanics of Flow-Induced Sound and Vibration, Volume 1: General Concepts and Elementary Sources, Second Edition, enables readers to fully understand flow-induced vibration and sound, unifying the disciplines of fluid dynamics, structural dynamics, vibration, acoustics, and statistics in order to classify and examine each of the leading sources of vibration and sound induced by various types of fluid motion. Starting with classical theories of aeroacoustics and hydroacoustics, a formalism of integral solutions valid for sources near boundaries is developed and then broadened to address different source types, including jet noise, flow tones, dipole sound from cylinders, and cavitation noise. Step-by-step derivations clearly identify any assumptions made throughout. Each chapter is illustrated with comparisons of leading formulas and measured data. Along with its companion, Mechanics of Flow-Induced Sound and Vibration, Volume 2: Complex Flow-Structure Interactions, the book covers everything an engineer needs to understand flow-induced sound and vibration. This book will be essential reading for postgraduate students, and for engineers and researchers with an interest in aerospace, ships and submarines, offshore structures, construction, and ventilation.

Much time is spent working out how to optimize the acoustics of large rooms, such as auditoria, but the acoustics of small rooms and environments can be just as vital. The expensive sound equipment of a recording studio or the stereo in a car or living room is likewise rendered useless if the acoustic environment is not right for them. Changes in wavelength to room size ratio and the time difference between the direct and reflected sound at the listening location mean that the acoustics of small spaces are quite different to those of large spaces. Tackling these specific aspects of physics, sound perception, and applications for small spaces, Acoustics of Small Rooms brings together important facets of small room acoustics. Divided into clear sections, it covers: Sound propagation-the effects of boundaries, sound absorbers, and time conditions Physiology and psychoacoustics Methods and techniques of room and sound field optimization Examples of how these principles apply in real situations Measurement and modeling techniques

Aircraft noise has adverse impacts on passengers, airport staff and people living near airports, it thus limits the capacity of regional and international airports throughout the world. Reducing perceived noise of aircraft involves reduction of noise at source, along the propagation path and at the receiver. Effective noise control demands highly skilled and knowledgeable engineers. This book is for them. It shows you how accurate and reliable information about aircraft noise levels can be gained by calculations using appropriate generation and propagation models, or by measurements with effective monitoring systems. It also explains how to allow for atmospheric conditions, natural and artificial topography as well as detailing necessary measurement techniques.

Road Vehicle Dynamics supplies students and technicians working in industry with both the theoretical background of mechanical and automotive engineering, and the know-how needed to perform numerical simulations. Bringing together the foundations of the discipline and its recent developments in a single text, the book is structured in three parts: it begins with a historical overview of road vehicles; then deals with the forces exchanged between the vehicle and the road, and the vehicle and the air; and finally, deals with the dynamic behavior of the vehicle in normal driving conditions with some extensions towards conditions encountered in high-speed racing. Coverage of contemporary automatic controls is included in this edition.

Long span suspension bridges cost billions. In recent decades, structural health monitoring systems have been developed to measure the loading environment and responses of these bridges in order to assess serviceability and safety while tracking the symptoms of operational incidents and potential damage. This helps ensure the bridge functions properly during a long service life and guards against catastrophic failure under extreme events. Although these systems have achieved some success, this cutting-edge technology involves many complex topics that present challenges to students, researchers, and engineers alike. Systematically introducing the fundamentals and outlining the advanced technologies for achieving effective long-term monitoring, Structural Health Monitoring of Long-Span Suspension Bridges covers: The design of structural health monitoring systems Finite element modelling and system identification Highway loading monitoring and effects Railway loading monitoring and effects Temperature monitoring and thermal behaviour Wind monitoring and effects Seismic monitoring and effects SHMS-based rating method for long span bridge inspection and maintenance Structural damage detection and test-bed establishment These are applied in a rigorous case study, using more than ten years' worth of data, to the Tsing Ma suspension bridge in Hong Kong to examine their effectiveness in the operational performance of a real bridge. The Tsing Ma bridge is the world's longest suspension bridge to carry both a highway and railway, and is located in one of the world's most active typhoon regions. Bridging the gap between theory and practice, this is an ideal reference book for students, researchers, and engineering practitioners.

During the last decade, research in Uncertainty Quantification (UC) has received a tremendous boost, in fluid engineering and coupled structural-fluids systems. New algorithms and adaptive variants have also emerged.This timely compendium overviews in detail the current state of the art of the field, including advances in structural engineering, along with the recent focus on fluids and coupled systems. Such a strong compilation of these vibrant research areas will certainly be an inspirational reference material for the scientific community.

This book is primarily a guide for professionals and can be used by students of Dynamics. It features 96 real-life problems in dynamics that are common in all engineering fields; including industrial, mechanical and electrical. And it uses a special table guide that allows the reader to find the solution to each specific problem. The descriptions of the solutions of problems are presented in the chapters 3 to 18. Features * The analysis of the structure of the differential equation of motion, as well as the analysis of the components that constitute this equation presented in the Chapter 1 allow readers to understand the principles of composing the differential equation of motion for actual engineering systems. * Presents the straightforward universal methodology of solving linear differential equations of motion based on the Laplace transform. * The table of Laplace Transform pairs presented in the Chapter 1 is based on reviewing numerous related analytical sources and represents a comprehensive source containing sufficient information for solving the differential equations of motion for common engineering systems. * Helps determine the number of possible common engineering problems based on the analysis of the structure of the differential equation of motion, as well as on the realistic resisting and active loading factors that constitute the differential equation of motion. * Each paragraph represents a standalone description. There is no need to look for notations or analytical techniques throughout the book. The book contains all required supplemental information for solving the problems. In his two-book, combined presentation of dynamics, Applied Dynamics in Engineering (2016) and Solving Engineering Problems in Dynamics (2014), Dr. Michael Spektor sets up, for anyone interested in the subject, a unique approach, facilitating an intuitive understanding of dynamics in application to design. Rather than a traditional vector approach to the topic, he presents a linear systems treatment. There are many advantages of this approach, especially as an introductory course in dynamic system analysis and design and particularly in an engineering technology curriculum where a student has only one semester's exposure to the subject. Of advantage to students is how Spektor progresses from the most fundamental dynamic system configurations of inertial mass, spring compliance, and friction to those of wide application in machinery. With Dr. Spektor's presentation of dynamical concepts, the design implications are always front and center. The student proceeds through fully documented and extraordinarily detailed examples of every applicable system. All mathematical detail is related to the Laplace Transform solution of linear differential equations, which has universal application in measurement, instrumentation, and electric circuitry. Unavoidable mathematical complexities also are covered in the shorter companion volume. For engineering technology students, this approach to learning dynamics directly builds on and parallels the formal mathematical training they are applying in other analytical subjects. I would have loved it if this book had been available when I was first learning dynamics, and I look forward adopting it in an Engineering Technology curriculum.-Carl Wolf, Project Manager, Small Step Innovation, LLC The book Applied Dynamics in Engineering by Michael Spektor, presents the solutions for engineering problems in a variety of applied topics. The range of material presented illustrates the in-depth background of the author. The focus of the book is the use of differential equations as a foundation for mathematical/engineering solutions. The author talks in the language of a teacher; his phrases are exact in nature and most pleasant to read. The use of Laplace Transformation is well illustrated, and the inclusion of a table for Laplace Transform Pairs is very useful. The solution for partial differential equations is well served by this text as well. In fact, the author's use of this solution technique is most impressive. In summary, this is an excellent teaching or reference book for the student or professional engineer.-Wallace Shakun, Former Dean of Technology, Clayton State University, GeorgiaModern technology is rapidly changing, requiring the application of the most effective methods of improvement and development of engineering systems. These methods comprise the purposeful analytical investigations of mechanical and related systems in the area of applied dynamics. The main role of analytical investigations in the area of dynamics related to engineering systems consists of providing the possibility for purposeful control of the parameters of the systems in order to obtain the required performance of the system during the executing of the working process. Michael Spektor's Applied Dynamics in Engineering addresses these issues.-Professor Walter Buchanan, Texas A&M University In 54 years as a mechanical engineer and scholar, I have never had Laplace Transforms laid out for me in a more complete and understandable manner than it is by Michael Spektor in his two-volume set of books Solving Engineering Problems in Dynamics and Applied Dynamics in Engineering. Way back in the final year of my doctoral studies, I was advised that I ought to have a graduate-level math course listed among my studies. I found a course that was scheduled to be taught the next semester entitled something like "Transform Calculus." I had A grades in calculus, and I had been a "whiz kid" with the Fourier series, so I signed up for it. There was a lot on my mind that semester. I found the course to be abstract and diverting. My disinterest was duly rewarded with a C grade-the only C that I had received since my freshman year. Since it was the only course that I took that term, I was surprised to receive a letter advising me that I was on academic probation and would have to take another graduate course the next semester and get an A grade to average out that C. I chose another highly technical course and got the A. Though professionally, I subsequently used other transform methods both analytical and experimental, the incident left me terrified of the Laplace Transform. My fear continued to stalk me, even though shortly afterward in my career I successfully held the title of "Structural Dynamics Engineer" with a Fortune 500 company. So I was again surprised when Dr. Michael Spektor, my long-time friend and colleague for 26 years, told me that over his 10 years of retirement, he had just completed the two above-cited books devoted to the use of Laplace Transforms in the solution of mechanical engineering and technology problems. I knew Michael to be a very accurate and successful professor and department head. And I was familiar with his research work on designing a vibration machine to penetrate soil. But Dr. Spektor's new and independent scholarship on the use of the Laplace Transform is profound. He has searched the literature on transforms that would be specific to the study and practice of mechanical engineering only. And he reduces his findings to 96 transform pairs that meet the specific needs of mechanical engineers. This I learned from him as I now enter the final year before my own retirement from teaching. I expect that checking through some of his many transform pairs will be an early pleasure of my own retirement and my own overdue conquest of this, my personal Chimera.-Professor Lawrence J. Wolf, Oregon Institute of Technology Michael B. Spektor is the former Professor and Chair of the Department of Mechanical & Manufacturing Engineering Technology at Oregon Institute of Technology. He has an undergraduate degree in Mechanical Engineering from Kiev Polytechnic University and a Ph.D. in Mechanical Engineering from Kiev Construction University. He has worked in both industry and higher education in the United States, Israel, and the former Soviet Union. Specktor holds five U.S. Patents and two U.S.S.R Inventor's Certificates. 1- Principles of Applied Dynamics. 2-Common Engineering Problems in Dynamics. 3- Force of Inertia 4- Inertia & Friction. 5- Inertia & Constant Resistance. 6- Inertia, Constant Resistance & Friction. 7- Inertia & Stiffness. 8- Inertia, Stiffness & Friction. 9- Inertia, Stiffness & Constant Resistance. 10- Inertia, Stiffness, Resistance & Friction. 11- Inertia & Damping. 12- Inertia, Damping & Friction. 13- Inertia, Damping & Constant Resistance. 14- Inertia, Damping, Resistance & Friction. 15- Inertia, Damping & Stiffness. 16-Inertia, Damping, Stiffness & Friction. 17- Inertia, Damping, Stiffness & Constant Resistance. 18- Inertia, Damping, Stiffness, Resistance & Friction. 19- Two Dimensional Motion

For all rotational machines, the analysis of dynamic stresses and the resulting vibrations is an important subject. When it comes to helicopters and piston engines, this analysis becomes crucial. From the design of parts working under stress to the reduction of the vibration levels, the success of a project lies mainly in the hands of the dynamicists.

The authors have combined their talents and experience to provide a complete presentation on the issues involved. Part one describes, in concrete terms, the main dynamic phenomena and how they can be observed in reality. Part two presents information about the modeling methods required to understand the dynamic phenomena and develop solutions capable of eliminating the most serious effects.

A Solid Introduction to Sound and Vibration: No Formal Background Needed This Second Edition of Fundamentals of Sound and Vibration covers the physical, mathematical and technical foundations of sound and vibration at audio frequencies. It presents Acoustics, vibration, and the associated signal processing at a level suitable for graduate students or practicing engineers with having no prior formal training in the field. The book is a coherent textbook based on the first semester of the master's program in Sound and Vibration Studies at the internationally acclaimed Institute of Sound and Vibration Research at the University of Southampton. New in the Second Edition: The latest edition has been extensively revised and updated, with a new introductory chapter and new chapters on the measurement of sound and vibration. Other chapters include fundamentals of acoustics, fundamentals of vibration, signal processing, noise control, human response to sound and human response to vibration; many of these have been substantially revised. Example problems and answers for self-study are included. The revised text: Offers a brief summary on the importance of sound and vibration Considers the vibration of mechanical structures, ranging from simple SDOF models to continuous systems Highlights the aspects of signal processing commonly used for data analysis Addresses engineering noise control, and more Fundamentals of Sound and Vibration, Second Edition provides you with broad coverage of sound, vibration and signal processing in a single volume, and serves as a reference for both graduate students and practicing engineers.

Gain a Greater Understanding of How Key Components Work Using realistic examples from everyday life, including sports (motion of balls in air or during impact) and vehicle motions, Applied Dynamics emphasizes the applications of dynamics in engineering without sacrificing the fundamentals or rigor. The text provides a detailed analysis of the principles of dynamics and vehicle motions analysis. An example included in the topic of collisions is the famous "Immaculate Reception," whose 40th anniversary was recently celebrated by the Pittsburgh Steelers. Covers Stability and Response Analysis in Depth The book addresses two- and three-dimensional Newtonian mechanics, it covers analytical mechanics, and describes Lagrange's and Kane's equations. It also examines stability and response analysis, and vibrations of dynamical systems. In addition, the text highlights a developing interest in the industry-the dynamics and stability of land vehicles. Contains Lots of Illustrative Examples In addition to the detailed coverage of dynamics applications, over 180 examples and nearly 600 problems richly illustrate the concepts developed in the text. Topics covered include: General kinematics and kinetics Expanded study of two- and three-dimensional motion, as well as of impact dynamics Analytical mechanics, including Lagrange's and Kane's equations The stability and response of dynamical systems, including vibration analysis Dynamics and stability of ground vehicles Designed for classroom instruction appealing to undergraduate and graduate students taking intermediate and advanced dynamics courses, as well as vibration study and analysis of land vehicles, Applied Dynamics can also be used as an up-to-date reference in engineering dynamics for researchers and professional engineers.

This monograph presents an approachable proof of Mirzakhani's curve counting theorem, both for simple and non-simple curves. Designed to welcome readers to the area, the presentation builds intuition with elementary examples before progressing to rigorous proofs. This approach illuminates new and established results alike, and produces versatile tools for studying the geometry of hyperbolic surfaces, Teichmuller theory, and mapping class groups. Beginning with the preliminaries of curves and arcs on surfaces, the authors go on to present the theory of geodesic currents in detail. Highlights include a treatment of cusped surfaces and surfaces with boundary, along with a comprehensive discussion of the action of the mapping class group on the space of geodesic currents. A user-friendly account of train tracks follows, providing the foundation for radallas, an immersed variation. From here, the authors apply these tools to great effect, offering simplified proofs of existing results and a new, more general proof of Mirzakhani's curve counting theorem. Further applications include counting square-tiled surfaces and mapping class group orbits, and investigating random geometric structures. Mirzakhani's Curve Counting and Geodesic Currents introduces readers to powerful counting techniques for the study of surfaces. Ideal for graduate students and researchers new to the area, the pedagogical approach, conversational style, and illuminating illustrations bring this exciting field to life. Exercises offer opportunities to engage with the material throughout. Basic familiarity with 2-dimensional topology and hyperbolic geometry, measured laminations, and the mapping class group is assumed.

This book provides a broad overview of state-of-the-art research at the intersection of the Koopman operator theory and control theory. It also reviews novel theoretical results obtained and efficient numerical methods developed within the framework of Koopman operator theory. The contributions discuss the latest findings and techniques in several areas of control theory, including model predictive control, optimal control, observer design, systems identification and structural analysis of controlled systems, addressing both theoretical and numerical aspects and presenting open research directions, as well as detailed numerical schemes and data-driven methods. Each contribution addresses a specific problem. After a brief introduction of the Koopman operator framework, including basic notions and definitions, the book explores numerical methods, such as the dynamic mode decomposition (DMD) algorithm and Arnoldi-based methods, which are used to represent the operator in a finite-dimensional basis and to compute its spectral properties from data. The main body of the book is divided into three parts: theoretical results and numerical techniques for observer design, synthesis analysis, stability analysis, parameter estimation, and identification; data-driven techniques based on DMD, which extract the spectral properties of the Koopman operator from data for the structural analysis of controlled systems; and Koopman operator techniques with specific applications in systems and control, which range from heat transfer analysis to robot control. A useful reference resource on the Koopman operator theory for control theorists and practitioners, the book is also of interest to graduate students, researchers, and engineers looking for an introduction to a novel and comprehensive approach to systems and control, from pure theory to data-driven methods.

This corrected version of the landmark 1981 textbook introduces the physical principles and theoretical basis of acoustics with deep mathematical rigor, concentrating on concepts and points of view that have proven useful in applications such as noise control, underwater sound, architectural acoustics, audio engineering, nondestructive testing, remote sensing, and medical ultrasonics. Since its publication, this text has been used as part of numerous acoustics-related courses across the world, and continues to be used widely today. During its writing, the book was fine-tuned according to insights gleaned from a broad range of classroom settings. Its careful design supports students in their pursuit of a firm foundation while allowing flexibility in course structure. The book can easily be used in single-term or full-year graduate courses and includes problems and answers. This rigorous and essential text is a must-have for any practicing or aspiring acoustician.

Friction-Induced Vibration in Lead Screw Drives covers the dynamics of lead screw drives with an emphasis on the role of friction. Friction-induced vibration in lead screws can be the cause of unacceptably high levels of audible noise as well as loss of operation accuracy and shortened life. Although lead screw drives have a long history and their mechanical design and manufacturing aspects are very well understood, the role of friction in their dynamical behavior has not been comprehensively treated. The book draws on the vast body of work on the subject of dynamical systems with friction (such as disk brake systems) and offers said treatment, along with: * Unique coverage of modeling of multi-DOF lead screw systems with friction * Detailed analysis of negative damping, mode coupling, and kinematic constraint instability mechanisms in lead screws drives * A practical parameter identification approach for the velocity dependent coefficient of friction in lead screw drives Friction-Induced Vibration in Lead Screw Drives serves as the definitive text on the friction-induced vibration of lead screws, and includes a practical case study where the developed methods are used to study the excessive noise problem of a lead screw drive system and to put forward design modifications that eliminate the friction-induced vibrations.

The first contemporary text specializing on the dynamic problems of piezoelectric crystal plates for resonant acoustic wave devices (such as resonators, filters, and sensors) since H F Tiersten's publication in 1969. This book provides an up-to-date, systematic and comprehensive presentation of theoretical results on waves and vibrations in quartz crystal plates. It expounds on the application of the theories of elasticity and piezoelectricity in acoustic wave devices made from crystal plates through a coverage spanning from classical results on acoustic wave resonators, up to present-day applications in acoustic wave sensors. This text begins with the exposition of the simplest thickness modes and various frequency effects in them due to electrodes, mass loading, contact with fluids, air gaps, etc., and continues on to the more complicated shear-horizontal modes, as well as straight-crested modes varying along the digonal axis of rotated Y-cut quartz. Modes varying in both of the in-plane directions of crystal plates are also addressed. The analysis within are based on the three-dimensional theories of piezoelectricity and anisotropic elasticity with various approximations when needed. Both free vibration modes (stationary waves) and propagating waves are studied in this text. Forced vibration is also treated in a few places. This book is intended to serve as an informative reference to personnel who employ piezoelectric crystal plates in the course of their profession.

Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates offers an introduction to structural vibration and highlights the importance of the natural frequencies in design. It focuses on free vibrations for analysis and design of structures and machine and presents the exact vibration solutions for strings, membranes, beams, and plates. This book emphasizes the exact solutions for free transverse vibration of strings, membranes, beams, and plates. It explains the intrinsic, fundamental, and unexpected features of the solutions in terms of known functions as well as solutions determined from exact characteristic equations. The book provides: A single-volume resource for exact solutions of vibration problems in strings, membranes, beams, and plates A reference for checking vibration frequency values and mode shapes of structural problems Governing equations and boundary conditions for vibration of structural elements Analogies of vibration problems Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates provides practicing engineers, academics, and researchers with a reference for data on a specific structural member as well as a benchmark standard for numerical or approximate analytical methods.

This book introduces the latest advances in modular robotics, and presents a unified geometric framework for modeling, analysis, and design of modular robots, including kinematics, dynamics, calibration, and configuration optimization. Supplementing the main content with a wealth of illustrations, the book offers a valuable guide for researchers, engineers and graduate students in the fields of mechatronics, robotics, and automation who wish to learn about the theory and practice of modular robots.