Foundations of Engineering Mechanics – serie

This book presents a unified introduction to the theory of mechanical vibrations. The presented examples are aimed at helping the readers with understanding the theory.This book is of interest among others to mechanical, civil and aeronautical engineers concerned with the vibratory behavior of the structures.

This book presents a unified introduction to the theory of mechanical vibrations. The presented examples are aimed at helping the readers with understanding the theory.This book is of interest among others to mechanical, civil and aeronautical engineers concerned with the vibratory behavior of the structures.

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University.The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented.This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University.The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented.This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University.The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). Among the special applications addressed in this second volume are: stability of motion, nonlinear oscillations, dynamics and statics of the Stewart platform, mechanics under random forces, elements of control theory, relations between nonholonomic mechanics and the control theory, vibration and autobalancing of rotor systems, physical theory of impact, statics and dynamics of a thin rod.This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University.The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). Among the special applications addressed in this second volume are: stability of motion, nonlinear oscillations, dynamics and statics of the Stewart platform, mechanics under random forces, elements of control theory, relations between nonholonomic mechanics and the control theory, vibration and autobalancing of rotor systems, physical theory of impact, statics and dynamics of a thin rod.This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

For the first time, the Micropolar Theory of Elasticity is applied to solving a wide variety of problems connected to the specifics of nanomaterials. Namely, their unique physical-mechanical characteristics and behaviors under various stress-induced conditions.These theories have been constructed based on the equations of the classical theory of elasticity as well as other equations that have till now remained untouched in their application to molecular theories of solid deformable media. The book also introduces a new applied micropolar theory of thin shells which is based on Cosserat's pseudo-continuum. It explores the theory’s application to a category of nanomaterial shells and plates previously neglected from classical theories due to their unconventional size and structure.  Theoretical results are accompanied by solutions of certain problems, essential for various applications.The book consists of six chapters. The first chapter is a review of the essentialdata on the non-symmetric theory of elasticity. The second and third chapters are devoted to various theories of plate bending and solutions to some basic problems. Chapter four refers to membrane or, so-called, momentary shell theory. Chapter five deals with the theory of very shallow shells. Finally, chapter six presents the geometry of the nonlinear theory of plates and the theory of very shallow shells.The book is intended for researchers, postgraduate students, and engineers, interested in the design of structures from nanomaterials and in the problems of mechanics of deformable bodies, theories of shells and plates, and their applications in micromechanics.

For the first time, the Micropolar Theory of Elasticity is applied to solving a wide variety of problems connected to the specifics of nanomaterials. Namely, their unique physical-mechanical characteristics and behaviors under various stress-induced conditions.These theories have been constructed based on the equations of the classical theory of elasticity as well as other equations that have till now remained untouched in their application to molecular theories of solid deformable media. The book also introduces a new applied micropolar theory of thin shells which is based on Cosserat's pseudo-continuum. It explores the theory’s application to a category of nanomaterial shells and plates previously neglected from classical theories due to their unconventional size and structure.  Theoretical results are accompanied by solutions of certain problems, essential for various applications.The book consists of six chapters. The first chapter is a review of the essentialdata on the non-symmetric theory of elasticity. The second and third chapters are devoted to various theories of plate bending and solutions to some basic problems. Chapter four refers to membrane or, so-called, momentary shell theory. Chapter five deals with the theory of very shallow shells. Finally, chapter six presents the geometry of the nonlinear theory of plates and the theory of very shallow shells.The book is intended for researchers, postgraduate students, and engineers, interested in the design of structures from nanomaterials and in the problems of mechanics of deformable bodies, theories of shells and plates, and their applications in micromechanics.

The book presents topical theoretical and experimental studies for developing advanced methods of detecting materials fracture and assessing their structural state using acoustic emission.

The book presents topical theoretical and experimental studies for developing advanced methods of detecting materials fracture and assessing their structural state using acoustic emission.

This book offers a comprehensive guide to the design and construction of process equipment and storage tanks.

This book offers a comprehensive guide to the design and construction of process equipment and storage tanks.

This book presents the fundamental principles of thermodynamics and heat transfer, providing a solid foundation for understanding energy systems. The book explores advanced subjects like second law thermodynamics, circular cycles, and the thermodynamic analysis of thermal power cycle installations, unveiling the intricacies of energy efficiency.

This book presents the fundamental principles of thermodynamics and heat transfer, providing a solid foundation for understanding energy systems. The book explores advanced subjects like second law thermodynamics, circular cycles, and the thermodynamic analysis of thermal power cycle installations, unveiling the intricacies of energy efficiency.

The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves. The book is divided on five basic parts: the necessary information on waves and materials;

This book focuses on the methods of dynamic analysis and synthesis of machines, comprising of cyclic action mechanisms, such as linkages, cams, steppers, etc.

This book investigates the stability and vibrations of conductive, perfectly conductive and superconductive thin bodies in electromagnetic fields. It introduces the main principles and derives basic equations and relations describing interconnected mechanical and electromagnetic processes in deformable electro conductive bodies placed in an external inhomogeneous magnetic field and under the influence of various types of force interactions. Basic equations and relations are addressed in the nonlinear formulation and special emphasis is placed on the mechanical interactions of superconducting thin-body plates with magnetic fields.

This book focuses on the methods of dynamic analysis and synthesis of machines, comprising of cyclic action mechanisms, such as linkages, cams, steppers, etc. It presents the modern methods of oscillation analysis in machines, including cyclic action mechanisms (linkage, cam, stepper, etc.). Thus, it builds a bridge between the classic theory of oscillations and its practical application in the dynamic problems for cyclic machines.The author take into account that, in the process of training engineers for jobs in engineering industries, producing cyclic machines, insufficient attention is paid, until now, to the problems of dynamic and especially to oscillations.

This book investigates the stability and vibrations of conductive, perfectly conductive and superconductive thin bodies in electromagnetic fields.

The main goal of the book is a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, which corresponds to one modern line of development of the nonlinear theory of elastic waves.The book is divided on five basic parts: the necessary information on waves and materials; the necessary information on nonlinear theory of elasticity and elastic materials; analysis of one-dimensional nonlinear elastic waves of displacement – longitudinal, vertically and horizontally polarized transverse plane nonlinear elastic waves of displacement; analysis of one-dimensional nonlinear elastic waves of displacement – cylindrical and torsional nonlinear elastic waves of displacement; analysis of two-dimensional nonlinear elastic waves of displacement – Rayleigh and Love nonlinear elastic surface waves. The book is addressed first of all to people working in solid mechanics – from the students at an advanced undergraduate and graduate level to the scientists, professionally interesting in waves. But mechanics is understood in the broad sense, when it includes mechanical and other engineering, material science, applied mathematics and physics and so forth. The genesis of this book can be found in author’s years of research and teaching while a head of department at SP Timoshenko Institute of Mechanics (National Academy of Sciences of Ukraine), a member of Center for Micro and Nanomechanics at Engineering School of University of Aberdeen(Scotland) and a professor at Physical-Mathematical Faculty of National Technical University of Ukraine “KPI”.The book comprises 11 chapters. Each chapter is complemented by exercises, which can be used for the next development of the theory of nonlinear waves.

This monograph analyses in detail the physical aspects of the elastic waves radiation during deformation or fracture of materials. It presents themethodological bases for the practical use of acoustic emission device, anddescribes the results of theoretical and experimental researches of evaluation of the crack growth resistance of materials, selection of theuseful AE signals. The efficiency of this methodology is shown through the diagnostics of various-purpose industrial objects. The authors obtainresults of experimental researches with the help of the new methods andfacilities.

It presents themethodological bases for the practical use of acoustic emission device, anddescribes the results of theoretical and experimental researches of evaluation of the crack growth resistance of materials, selection of theuseful AE signals.

Especially designed as self-sustaining oscillating systems, resonant robotic systems use the natural modes of oscillation of electromechanical modules for their movements. In fact, manipulator systems built on these principles demonstrate record-breaking characteristics in performance. The authors summarize the results and experience of research on, and development of, resonant robotic systems. For the readers convenience, a presentation of design concepts is followed by solutions to new dynamical and control problems. The book is intended for designers, researchers and graduate students.

The book addresses software design issues related to methods for the analysis of construction engineering by means of modern CAD (computer-aided design) systems and provides validation for their use. Special attention is paid to the importance of the relevant mechanical models, their validity, and their external and internal coordination. There is a great deal of practical advice with examples of typical and atypical problems and errors, as well as tips for engineers to identify and avoid traps and pitfalls. Written for professional engineers and scientists, especially, for high-level developers and for CAD users, this book is also aimed at university professors and students preparing to work in this field.

This book addresses the general theory of motion of mechanical systems with Coulomb friction. In particular, the book focuses on the following specific problems: derivation of the equations of motion, Painleve's paradoxes, tangential impact and dynamic seizure, and frictional self-excited oscillations. In addition to the theoretical results, the book contains a detailed description of experiments that show that, in general, the friction force at the instant of transition to motion is determined by the rate of tangential load and does not depend on the duration of the previous contact. These results are used to develop the theory of frictional self-excited oscillations. A number of industrially relevant mechanisms are considered, including the Painleve-Klein scheme, epicyclic mechanisms, crank mechanisms, gear transmission, the link mechanism of a planing machine, and the slider of metal-cutting machine tools. The book is intended for researchers, engineers and students in mechanical engineering.

Results of experimental research on aerodynamic and acoustic control of subsonic turbulent jets by acoustic excitation are presented. It was demonstrated that these control methods, originated by authors, not only can intensify mixing (by acoustic irradiation at low frequency), but also notably ease it (at high-frequency irradiation). This research monograph presents the updated results of the authors supplemented by other investigations conducted in USA, Germany and Great Britain. The methods for the numerical simulation of subsonic turbulent jets under acoustic excitation are described in detail, and examples are reviewed of practical applications, including reduction of turbojet engine noise and acoustic control of self-sustained oscillations in wind tunnels.

The two-volume work "Engineering Vibration Analysis" is devoted to problems on vibration theory analysis, which is currently one of the fundamental courses in mechanical engineering departments at technical universities. The first volume is devoted to systems with a finite number of degrees of freedom and continuous systems are analyzed in the second. In the first part of each volume problems are posed and in the second part the detailed solutions to these problems are dealt with. Conventional and advanced problems requiring deeper knowledge of the vibration theory are analyzed. In particular, problems are formulated associated with the determination of frequencies and vibration modes, the study of free and forced vibrations, as well as with parametric and nonlinear vibration analysis. The problems associated with determination of critical parameters, dynamic stability and with random vibrations are also considered. The algorithms for their solutions are presented with probability characteristics calculation, and a reliability estimation (probability of non-failure operation) of the corresponding mechanical system.

The two-volume work Engineering Vibration Analysis is devoted to problems on vibration theory analysis, which is currently one of the fundamental courses in mechanical engineering departments at technical universities. The first volume is devoted to systems with a finite number of degrees of freedom and continuous systems are analyzed in the second. In the first part of each volume problems are posed and in the second part the detailed solutions to these problems are dealt with. Conventional and advanced problems requiring deeper knowledge of the vibration theory are analyzed. In particular, problems are formulated associated with the determination of frequencies and vibration modes, the study of free and forced vibrations, as well as with parametric and nonlinear vibration analysis. The problems associated with determination of critical parameters, dynamic stability and with random vibrations are also considered. The algorithms for their solutions are presented with probability characteristics calculation, and a reliability estimation (probability of non-failure operation) of the corresponding mechanical system.

Fatigue and wear are the most damaging phenomena affecting machines since they result in some 90 per cent of breakdowns. This tutorial book systematically develops a unified overview, named tribo-fatigue, which aims to address the complex wear-fatigue damages. Tribo-fatigue synthesizes aspects of three disciplines: mechanical fatigue, tribology, and reliability of mechanical systems. Tribo-fatigue opens new perspectives for increasing the durability of machines according to the most important criteria of their serviceability. Detailed damage measurement and wear-fatigue tests that enable engineers to design more durable and reliable systems are developed. The book is intended for advanced students, researchers and engineers.