Bøger i Foundations of Engineering Mechanics serien

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.

Main Equations and Relations of the Theory of Non-Symmetric Elasticity.- Bending of Plates.- Somme Trivial Problems of Plates.- Membrein Theory of Shells.- Theory of Very Shallow Shells.- Some Other Aspects of the Theory of Plates and Shells. 

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.

The book addresses computational methods for solving the problem of vibration, response, loads and stability of a helicopter rotor blade modeled as a rotating beam with flap or out-of-plane bending.

This book suggests a new common approach to the study of resonance energy transport based on the recently developed concept of Limiting Phase Trajectories (LPTs), presenting applications of the approach to significant nonlinear problems from different fields of physics and mechanics.

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

This book presents two distinct aspects of wave dynamics - wave propagation and diffraction - with a focus on wave diffraction.

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

This book presents a hybrid approach to the mechanics of thin bodies for rods, plates and shells. The majority of the simulations were performed in the Wolfram Mathematica environment and the compact source code is provided as an integral part of the book.

A new approach to the theory of mechanisms and machines, based on a lecture course for mechanical engineering students at the St. Petersburg State Technical University. These established and novel methods take into account the needs of modern machine design as well as the potential of computers.

The volume is devoted to mechanics of rods, which is a branch of mechanics of deformable bodies. That is, Chapters 1 to 3 contain, in the main, theoretical material, whereas Chapters 4 to6 illustrate the application of the theoretical results to problems of practical interest.

Solving the basic static and dynamie problems for heterogeneous and anisotropic half-spaces, such as different contact problems and problems of constructing Green's functions, has become possible in the last few decades due to the development of computer engineering techniques and numerical methods.

Computational mechanics, as a science employed for the numerical model ing of processes in nature and engineering, has over the last few decades developed two strands.

Aimed at people working in solid mechanics, this book offers a coherent treatment of the theory of propagation in materials of nonlinearly elastic waves of displacements, corresponding to one modern line of development of nonlinear theory of elastic waves.

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 work is the first and only book on the fundamentals of ultrasonic machining. It presents the foundations of dynamic and control for ultrasonic processing systems and considers ultrasonic systems as special vibratory machines that function by exploiting nonlinear dynamic processes.

A new approach is presented in this book for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element method.

The problems and exercises in Strength and Stability that exceed the bounds of the ordinary university course in complexity and their statement are considered.

This is the first book to view problems of electromechanics through the lens of analytical mechanics. It offers fundamental results in the theory of non-linear electromechanical systems and includes examples of industrial applications.

Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems.

This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. However, the book emphasizes a rigorous mathematical treatment of the obtained differential equations, since it helps efficiently in further developing of various suitable numerical algorithms to solve the stated problems.

Fatigue and wear are the most damaging phenomena affecting machines since they result in some 90% of breakdowns. Detailed damage measurement and wear-fatigue tests that enable engineers to design more durable and reliable systems are developed.