The basic concepts of traditional mechanics of stressed structures are suitable for classical uniform structures made of homogeneous materials but not for complex structures such as a network plate or structures made of composite materials. In this book a new approach to stressed inhomogeneous structures is presented, leading to significant changes in the classical concepts of stressed bodies, especially plates, membranes, rods and beams. The approach is based on the rigorous mathematical asymptotic homogenization method and its newly elaborated modifications. It can be applied to the...
The basic concepts of traditional mechanics of stressed structures are suitable for classical uniform structures made of homogeneous materials but ...
This text maps out the modern theory of non-linear oscillations. The material is presented in a non-traditional manner and emphasises the new results of the theory - obtained partially by the author, who is one of the leading experts in the area. Among the topics are: synchronization and chaotization of self-oscillatory systems and the influence of weak random vibration on modification of characteristics and behaviour of the non-linear systems.
This text maps out the modern theory of non-linear oscillations. The material is presented in a non-traditional manner and emphasises the new resul...
Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.
Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the ga...
This book explores two important aspects of the optimal control of oscillatory systems: the initiation of optimal oscillatory regimes and control possibilities for random disturbances. The main content of the book is based upon assertions of the optimal control theory and the disturbance theory. All theoretical propositions are illustrated by examples with exact mechanical context. An appendix covers the necessary mathematical prerequisites.
This book explores two important aspects of the optimal control of oscillatory systems: the initiation of optimal oscillatory regimes and control poss...
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 new approach is based on homogeneous transformations and joint coordinates. Apart from its simple physical interpretation and easy computer implementation, the method is also valuable for educational purposes since it impressively illustrates the impact of mechanical features on the mathematical model.
A new approach is presented in this book for modelling multi-body systems, which constitutes a substantial enhancement of the Rigid Finite Element ...
This book presents a systematic approach to numerical solution for a wide range of spatial contact problems of geotechnics. On the basis of the boundary element method new techniques and effective computing algorithms are considered. Special attention is given to the formulation and analysis of the spatial contact models for elastic bases. Besides the classical schemes of contact deformation, new contact models are discussed for spatially nonhomogeneous and nonlinearly elastic media properly describing soil properties.
This book presents a systematic approach to numerical solution for a wide range of spatial contact problems of geotechnics. On the basis of the bou...
According to established tradition, courses on analytical mechanics include general equations of motion of holonomic and non-holonomic systems, vari ational principles, theory of canonical transformations, canonical equations and theory of their integration (the Hamilton-Jacobi theorem), integral in variants, theory of last multiplier and others. The fundamental laws of mechanics are taken for granted and are not subject to discussion. The present book is concerned with those issues of the above listed sub jects which, in the author's opinion, are most closely related to engineering problems....
According to established tradition, courses on analytical mechanics include general equations of motion of holonomic and non-holonomic systems, vari a...
This reference tutorial contains modern experimental approaches to analysis of strain-stress distribution based on interference-optical methods of registration of strain or displacement fields, including coherent-optical techniques (holographic interferometry, speckle photography, electronic digital speckle interferometry techniques) and photoelastic methods as well as the shadow optical method of caustic.
The book describes the theory, efficient scope of application in the every-day practice and the problems of further development of these techniques. Much attention is paid to new...
This reference tutorial contains modern experimental approaches to analysis of strain-stress distribution based on interference-optical methods of ...
Constantly increasing attention is paid in the course 'Vibration 'Theory' to vibration of mechanical systems with distributed parameters, since the real elements of machines, devices, and constructions are made of materials that are not perfectly rigid. 'Therefore, vibrations of the objects including, for ex ample, rod elastic elements excite the vibrations of these elements, which can produce a substantial effect on dynamic characteristics of moving objects and on readings of instruments. For a mechanical engineer working in the field of design of new technolo gies the principal thing is his...
Constantly increasing attention is paid in the course 'Vibration 'Theory' to vibration of mechanical systems with distributed parameters, since the re...
Fatigue and wear are the most damaging phenomena affecting machines since they result in some 90% 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...
Fatigue and wear are the most damaging phenomena affecting machines since they result in some 90% of breakdowns. This tutorial book systematically ...
