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Asymptotical Mechanics of Composites - Modelling Composites without FEM (Hardcover, 1st ed. 2018): Igor V. Andrianov, Jan... Asymptotical Mechanics of Composites - Modelling Composites without FEM (Hardcover, 1st ed. 2018)
Igor V. Andrianov, Jan Awrejcewicz, Vladyslav V. Danishevs'kyy
R3,534 Discovery Miles 35 340 Ships in 12 - 17 work days

In this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems. The book focuses on this asymptotic-modeling-based approach because it allows us to define the most important out of numerous parameters describing the system, or, in other words, the asymptotic methods allow us to estimate the sensitivity of the system parameters. Further, the book addresses the construction of nonlocal and higher-order homogenized models. Local fields on the micro-level and the influence of so-called non-ideal contact between the matrix and inclusions are modeled and investigated. The book then studies composites with non-regular structure and cluster type composite conductivity, and analyzes edge effects in fiber composite materials. Transition of load from a fiber to a matrix for elastic and viscoelastic composites, various types of fiber composite fractures, and buckling of fibers in fiber-reinforced composites is also investigated. Last but not least, the book includes studies on perforated membranes, plates, and shells, as well as the asymptotic modeling of imperfect nonlinear interfaces.

Recent Trends In Chaotic, Nonlinear And Complex Dynamics (Hardcover): Jan Awrejcewicz, Rajasekar Shanmuganathan, Minvydas... Recent Trends In Chaotic, Nonlinear And Complex Dynamics (Hardcover)
Jan Awrejcewicz, Rajasekar Shanmuganathan, Minvydas Ragulskis
R3,514 Discovery Miles 35 140 Ships in 12 - 17 work days

In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.

Perspectives in Dynamical Systems III: Control and Stability - DSTA, Lodz, Poland December 2-5, 2019 (Hardcover, 1st ed. 2021):... Perspectives in Dynamical Systems III: Control and Stability - DSTA, Lodz, Poland December 2-5, 2019 (Hardcover, 1st ed. 2021)
Jan Awrejcewicz
R3,615 Discovery Miles 36 150 Ships in 12 - 17 work days

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference "Dynamical Systems: Theory and Applications", held in Lodz, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Perspectives in Dynamical Systems I: Mechatronics and Life Sciences - DSTA, Lodz, Poland December 2-5, 2019 (Hardcover, 1st ed.... Perspectives in Dynamical Systems I: Mechatronics and Life Sciences - DSTA, Lodz, Poland December 2-5, 2019 (Hardcover, 1st ed. 2021)
Jan Awrejcewicz
R3,614 Discovery Miles 36 140 Ships in 12 - 17 work days

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference "Dynamical Systems: Theory and Applications", held in Lodz, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches - DSTA, Lodz, Poland December 2-5, 2019 (Hardcover,... Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches - DSTA, Lodz, Poland December 2-5, 2019 (Hardcover, 1st ed. 2021)
Jan Awrejcewicz
R3,614 Discovery Miles 36 140 Ships in 12 - 17 work days

This volume is part of collection of contributions devoted to analytical and experimental techniques of dynamical systems, presented at the 15th International Conference "Dynamical Systems: Theory and Applications", held in Lodz, Poland on December 2-5, 2019. The wide selection of material has been divided into three volumes, each focusing on a different field of applications of dynamical systems. The broadly outlined focus of both the conference and these books includes bifurcations and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, optimization problems in applied sciences, stability of dynamical systems, experimental and industrial studies, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts (Hardcover): Pawel Olejnik, Jan Awrejcewicz,... Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts (Hardcover)
Pawel Olejnik, Jan Awrejcewicz, Michal Feckan
R2,175 Discovery Miles 21 750 Ships in 12 - 17 work days

This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Each chapter provides the reader with both the theoretical background and results of verified and useful computations, including solutions of the problems of modeling and application of friction laws in numerical computations, results from finding and analyzing impact solutions, the analysis and control of dynamical systems with discontinuities, etc. The contents offer a smooth correspondence between science and engineering and will allow the reader to discover new ideas. Also emphasized is the unity of diverse branches of physics and mathematics towards understanding complex piecewise-smooth dynamical systems. Mathematical models presented will be important in numerical experiments, experimental measurements, and optimization problems found in applied mechanics.

Dynamics Of Mechatronics Systems: Modeling, Simulation, Control, Optimization And Experimental Investigations (Hardcover): Jan... Dynamics Of Mechatronics Systems: Modeling, Simulation, Control, Optimization And Experimental Investigations (Hardcover)
Jan Awrejcewicz, Donat Lewandowski, Pawel Olejnik
R2,496 Discovery Miles 24 960 Ships in 12 - 17 work days

This book describes the interplay of mechanics, electronics, electrotechnics, automation and biomechanics. It provides a broad overview of mechatronics systems ranging from modeling and dimensional analysis, and an overview of magnetic, electromagnetic and piezo-electric phenomena. It also includes the investigation of the pneumo-fluid-mechanical, as well as electrohydraulic servo systems, modeling of dynamics of an atom/particle embedded in the magnetic field, integrity aspects of the Maxwell's equations, the selected optimization problems of angular velocity control of a DC motor subjected to chaotic disturbances with and without stick-slip dynamics, and the analysis of a human chest adjacent to the elastic backrest aimed at controlling force to minimize relative compression of the chest employing the LQR.This book provides a theoretical background on the analysis of various kinds of mechatronics systems, along with their computational analysis, control, optimization as well as laboratory investigations.

Deterministic Chaos In One Dimensional Continuous Systems (Hardcover): Jan Awrejcewicz, Vadim A. Krysko, Irina V Papkova, Anton... Deterministic Chaos In One Dimensional Continuous Systems (Hardcover)
Jan Awrejcewicz, Vadim A. Krysko, Irina V Papkova, Anton V. Krys'ko
R3,631 Discovery Miles 36 310 Ships in 12 - 17 work days

This book focuses on the computational analysis of nonlinear vibrations of structural members (beams, plates, panels, shells), where the studied dynamical problems can be reduced to the consideration of one spatial variable and time. The reduction is carried out based on a formal mathematical approach aimed at reducing the problems with infinite dimension to finite ones. The process also includes a transition from governing nonlinear partial differential equations to a set of finite number of ordinary differential equations.Beginning with an overview of the recent results devoted to the analysis and control of nonlinear dynamics of structural members, placing emphasis on stability, buckling, bifurcation and deterministic chaos, simple chaotic systems are briefly discussed. Next, bifurcation and chaotic dynamics of the Euler-Bernoulli and Timoshenko beams including the geometric and physical nonlinearity as well as the elastic-plastic deformations are illustrated. Despite the employed classical numerical analysis of nonlinear phenomena, the various wavelet transforms and the four Lyapunov exponents are used to detect, monitor and possibly control chaos, hyper-chaos, hyper-hyper-chaos and deep chaos exhibited by rectangular plate-strips and cylindrical panels.The book is intended for post-graduate and doctoral students, applied mathematicians, physicists, teachers and lecturers of universities and companies dealing with a nonlinear dynamical system, as well as theoretically inclined engineers of mechanical and civil engineering.

Classical Mechanics - Dynamics (Hardcover, 2012 ed.): Jan Awrejcewicz Classical Mechanics - Dynamics (Hardcover, 2012 ed.)
Jan Awrejcewicz
R3,803 R1,493 Discovery Miles 14 930 Save R2,310 (61%) Ships in 12 - 17 work days

This is the second volume of three books devoted to Mechanics. In this book, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts in comparison to standard text books and monographs. Apart from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and teachers from the fields of mechanical and civil engineering, this volume is also intended to be used as a self-contained material for applied mathematicians and physical scientists and researchers.

Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems - State-of-the-Art, Perspectives and Applications... Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems - State-of-the-Art, Perspectives and Applications (Hardcover, 2009 ed.)
Jan Awrejcewicz
R5,466 R4,334 Discovery Miles 43 340 Save R1,132 (21%) Ships in 12 - 17 work days

This volume contains the invited papers presented at the 9th International C- ference "Dynamical Systems - Theory and Applications" held in ?od ' z, ' Poland, December 17-20, 2007 dealing with nonlinear dynamical systems. The conf- encegatheredanumerousgroupofscientistsandengineers,whodealwithwidely understoodproblemsofdynamicsmetalsoinengineeringanddailylife. Organizationof the conferencewould nothavebeen possiblewithouta great effortofthestaffoftheDepartmentofAutomaticsandBiomechanicsoftheTech- calUniversityof?od ' z. ' Thepatronageovertheconferencehasbeentakenbythef- lowingscienti?cinstitutions:MechanicsandMachineDynamicsCommitteesofthe PolishAcademyofSciences,PolishSocietyofTheoreticalandAppliedMech- ics,PolishAssociationforComputationalMechanics,andTechnicalCommitteeof NonlinearOscillationsofIFToMM. The ?nancial support has been given by the Department of Education at the ?'odz' City Hall, Ministry of National Education and the Polish Association for ComputationalMechanics. We welcomednearly100personsfrom13countriesallovertheworld.They decidedto share the results of their researchandmanyyears of experiencein a disciplineofdynamicalsystemsbysubmittingmanyinterestingpapers. TheScienti?cCommitteeincludesthefollowingmembers:IgorV.Andrianov- Aachen;JanAwrejcewicz -?od ' z; ' Jose M. Balthazar- Rio Claro;Denis Bla- more- Newark; Iliya Blekhman - Sankt Petersburg;Roman Bogacz - Warsaw; TadeuszBurczyns ' ki-Gliwice;DickvanCampen-Eindhoven;Czes?awCempel- Poznan';LotharGaul- Stuttgart;Jozef ' Giergiel-Cracow;Katica Hedrih-Nis; ? Janusz Kowal - Cracow; Vadim A. Krysko - Saratov; W?odzimierz Kurnik - Warsaw; Claude-Henri Lamarque - Lyon; Nuno M. Maia - Lisbon; Leonid I.

Dynamical Systems in Theoretical Perspective - Lodz, Poland December 11 -14, 2017 (Hardcover, 1st ed. 2018): Jan Awrejcewicz Dynamical Systems in Theoretical Perspective - Lodz, Poland December 11 -14, 2017 (Hardcover, 1st ed. 2018)
Jan Awrejcewicz
R3,797 R2,621 Discovery Miles 26 210 Save R1,176 (31%) Ships in 12 - 17 work days

This book focuses on theoretical aspects of dynamical systems in the broadest sense. It highlights novel and relevant results on mathematical and numerical problems that can be found in the fields of applied mathematics, physics, mechanics, engineering and the life sciences. The book consists of contributed research chapters addressing a diverse range of problems. The issues discussed include (among others): numerical-analytical algorithms for nonlinear optimal control problems on a large time interval; gravity waves in a reservoir with an uneven bottom; value distribution and growth of solutions for certain Painleve equations; optimal control of hybrid systems with sliding modes; a mathematical model of the two types of atrioventricular nodal reentrant tachycardia; non-conservative instability of cantilevered nanotubes using the Cell Discretization Method; dynamic analysis of a compliant tensegrity structure for use in a gripper application; and Jeffcott rotor bifurcation behavior using various models of hydrodynamic bearings.

Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members - Applications of the Bubnov-Galerkin and Finite... Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members - Applications of the Bubnov-Galerkin and Finite Difference Methods (Paperback, 2nd ed. 2020)
Jan Awrejcewicz, Vadim A. Krysko
R3,312 Discovery Miles 33 120 Ships in 7 - 11 work days

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration

Dynamical Systems in Applications - Lodz, Poland December 11-14, 2017 (Hardcover, 1st ed. 2018): Jan Awrejcewicz Dynamical Systems in Applications - Lodz, Poland December 11-14, 2017 (Hardcover, 1st ed. 2018)
Jan Awrejcewicz
R4,556 R3,978 Discovery Miles 39 780 Save R578 (13%) Ships in 12 - 17 work days

The book is intended for all those who are interested in application problems related to dynamical systems. It provides an overview of recent findings on dynamical systems in the broadest sense. Divided into 46 contributed chapters, it addresses a diverse range of problems. The issues discussed include: Finite Element Analysis of optomechatronic choppers with rotational shafts; computational based constrained dynamics generation for a model of a crane with compliant support; model of a kinetic energy recuperation system for city buses; energy accumulation in mechanical resonance; hysteretic properties of shell dampers; modeling a water hammer with quasi-steady and unsteady friction in viscoelastic conduits; application of time-frequency methods for the assessment of gas metal arc welding conditions; non-linear modeling of the human body's dynamic load; experimental evaluation of mathematical and artificial neural network modeling for energy storage systems; interaction of bridge cables and wake in vortex-induced vibrations; and the Sommerfeld effect in a single DOF spring-mass-damper system with non-ideal excitation.

Applied Non-Linear Dynamical Systems (Hardcover, 2014 ed.): Jan Awrejcewicz Applied Non-Linear Dynamical Systems (Hardcover, 2014 ed.)
Jan Awrejcewicz
R4,059 R1,593 Discovery Miles 15 930 Save R2,466 (61%) Ships in 12 - 17 work days

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in od, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future research. Topics covered include: constrained motion of mechanical systems and tracking control; diversities in the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic solutions to the problem of vortex structure around a cylinder; investigation of the regular and chaotic dynamics; rare phenomena and chaos in power converters; non-holonomic constraints in wheeled robots; exotic bifurcations in non-smooth systems; micro-chaos; energy exchange of coupled oscillators; HIV dynamics; homogenous transformations with applications to off-shore slender structures; novel approaches to a qualitative study of a dissipative system; chaos of postural sway in humans; oscillators with fractional derivatives; controlling chaos via bifurcation diagrams; theories relating to optical choppers with rotating wheels; dynamics in expert systems; shooting methods for non-standard boundary value problems; automatic sleep scoring governed by delay differential equations; isochronous oscillations; the aerodynamics pendulum and its limit cycles; constrained N-body problems; nano-fractal oscillators and dynamically-coupled dry friction."

Mechatronics: Ideas for Industrial Applications (Paperback, 2015 ed.): Jan Awrejcewicz, Roman Szewczyk, Maciej Trojnacki,... Mechatronics: Ideas for Industrial Applications (Paperback, 2015 ed.)
Jan Awrejcewicz, Roman Szewczyk, Maciej Trojnacki, Malgorzata Kaliczynska
R5,504 R2,398 Discovery Miles 23 980 Save R3,106 (56%) Ships in 12 - 17 work days

This book presents recent advances and developments in control, automation, robotics, and measuring techniques. It presents contributions of top experts in the fields, focused on both theory and industrial practice. The particular chapters present a deep analysis of a specific technical problem which is in general followed by a numerical analysis and simulation, and results of an implementation for the solution of a real world problem. The presented theoretical results, practical solutions and guidelines will be useful for both researchers working in the area of engineering sciences and for practitioners solving industrial problems.

Nonlinear Dynamics of a Wheeled Vehicle (Hardcover, 2005 ed.): Ryszard Andrzejewski, Jan Awrejcewicz Nonlinear Dynamics of a Wheeled Vehicle (Hardcover, 2005 ed.)
Ryszard Andrzejewski, Jan Awrejcewicz
R5,088 R4,172 Discovery Miles 41 720 Save R916 (18%) Ships in 12 - 17 work days

On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition, and quality. The number of such vehicles, including automobiles and all manner of trucks, increases continually with a growing positive impact on accessibility and a growing negative impact on interactions among humans and their relationship to the surrounding environment. This multiplicity of vehicles, through their physical impact and their emissions, is responsible for, among other negative results: waste of energy, pollution through emission of harmful compounds, degradation of road surfaces, crowding of roads leading to waste of time and increase of social stress, and decrease in safety and comfort. In particular, the safety of vehicular traffic depends on a man-vehicle-road system that includes both active and passive security controls. In spite of the drawbacks mentioned above, the governments of almost every country in the world not only expect but facilitate improvements in vehicular transport performance in order to increase such parameters as load capacity and driving velocity, while decreasing such parameters as costs to passengers, energy resources investments, fuel consumption, etc. Some of the problems have clear, if not always easily attainable, solutions.

Nonlinear Dynamics of Continuous Elastic Systems (Hardcover, 2004 ed.): Jan Awrejcewicz, Vadim Anatolevich Krysko, Alexander F.... Nonlinear Dynamics of Continuous Elastic Systems (Hardcover, 2004 ed.)
Jan Awrejcewicz, Vadim Anatolevich Krysko, Alexander F. Vakakis
R4,843 R3,852 Discovery Miles 38 520 Save R991 (20%) Ships in 12 - 17 work days

There are many monographs in the existing literature devoted to the static and dynamic behavior of plates and shells. Plates and shells are enco- tered often in engineering applications being integralparts of a wide range of constructions, such as machines, vehicles, airplanes, rockets, ships, bridges, buildings, and containers, to name a few. In addition to the usual requi- ments posedby engineersrelatedtolightweightness, su?cientrigidityor?- ibility, and robust stability properties, there is an additional class ofapriori dynamicalpropertiesrequiredbymodernengineeringapplicationswheren- homogeneity and non-uniformity of structural components is often the norm incertainapplications. Inaddition, strictoperationalrequirementsinmodern engineering applications towards higher speeds, lighter construction, robust andreliableperformance, dictatessmallermarginsoferrorordeviationsfrom prescribed performances in adverse or uncertain forcing environments. This, in turn, requires the development of new analytical and computational tools capable of addressing challenging and not very well developed topics, such as, nonlinearities a?ecting the system performance, the e?ects of unmodeled dynamics on the stability of operation, and the role of uncertainties in the systemparametersonthestructuralresponse. Asaresult, thereisanongoing e?ort to address such issues, leading to the development of new analytical and computational tools, some of which are discussed in this monograph. The monograph follows an approach based on an integrated treatment of analysis and computation. Such a hybrid approach, coupled with computer algebra, can lead to results that cannot be obtained by other standard th- ries in the ?eld. We show, that in a wide class of problems only a carefully prepared numerical experiment followed by purely mathematical conside- tionscan?nallyleadtothesoughtresults. Thenumerousanalyticalconstr- tions are illustrated by examples of application and computational resu

Smooth And Nonsmooth High Dimensional Chaos And The Melnikov-type Methods (Hardcover): Jan Awrejcewicz, Mariusz M. Holicke Smooth And Nonsmooth High Dimensional Chaos And The Melnikov-type Methods (Hardcover)
Jan Awrejcewicz, Mariusz M. Holicke
R3,016 Discovery Miles 30 160 Ships in 12 - 17 work days

This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case of mechanics, they represent one-degree-of-freedom nonautonomous systems). This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems, and uses simple models of dry friction to analytically predict the occurrence of both stick-slip and slip-slip chaotic orbits, research which is very rarely reported in the existing literature even on one-degree-of-freedom nonautonomous dynamics.This pioneering attempt to predict the occurrence of deterministic chaos of nonlinear dynamical systems will attract many researchers including applied mathematicians, physicists, as well as practicing engineers. Analytical formulas are explicitly formulated step-by-step, even attracting potential readers without a rigorous mathematical background.

Mathematical Models of Higher Orders - Shells in Temperature Fields (Hardcover, 1st ed. 2019): Vadim A. Krysko, Jan... Mathematical Models of Higher Orders - Shells in Temperature Fields (Hardcover, 1st ed. 2019)
Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krys'ko
R3,303 Discovery Miles 33 030 Ships in 7 - 11 work days

This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.

Bifurcation And Chaos In Nonsmooth Mechanical Systems (Hardcover): Jan Awrejcewicz, Claude-Henri Lamarque Bifurcation And Chaos In Nonsmooth Mechanical Systems (Hardcover)
Jan Awrejcewicz, Claude-Henri Lamarque
R4,847 Discovery Miles 48 470 Ships in 12 - 17 work days

This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments.

Dynamical Systems: Theoretical and Experimental Analysis - Lodz, Poland, December 7-10, 2015 (Hardcover, 1st ed. 2016): Jan... Dynamical Systems: Theoretical and Experimental Analysis - Lodz, Poland, December 7-10, 2015 (Hardcover, 1st ed. 2016)
Jan Awrejcewicz
R4,224 Discovery Miles 42 240 Ships in 7 - 11 work days

The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Lodz, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous sytems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Dynamical Systems: Modelling - Lodz, Poland, December 7-10, 2015 (Hardcover, 1st ed. 2016): Jan Awrejcewicz Dynamical Systems: Modelling - Lodz, Poland, December 7-10, 2015 (Hardcover, 1st ed. 2016)
Jan Awrejcewicz
R3,102 Discovery Miles 31 020 Ships in 7 - 11 work days

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Lodz, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous systems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.

Applied Non-Linear Dynamical Systems (Paperback, Softcover reprint of the original 1st ed. 2014): Jan Awrejcewicz Applied Non-Linear Dynamical Systems (Paperback, Softcover reprint of the original 1st ed. 2014)
Jan Awrejcewicz
R4,953 Discovery Miles 49 530 Ships in 7 - 11 work days

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Lodz, Poland on December 2-5, 2013. The studies give deep insight into both the theory and applications of non-linear dynamical systems, emphasizing directions for future research. Topics covered include: constrained motion of mechanical systems and tracking control; diversities in the inverse dynamics; singularly perturbed ODEs with periodic coefficients; asymptotic solutions to the problem of vortex structure around a cylinder; investigation of the regular and chaotic dynamics; rare phenomena and chaos in power converters; non-holonomic constraints in wheeled robots; exotic bifurcations in non-smooth systems; micro-chaos; energy exchange of coupled oscillators; HIV dynamics; homogenous transformations with applications to off-shore slender structures; novel approaches to a qualitative study of a dissipative system; chaos of postural sway in humans; oscillators with fractional derivatives; controlling chaos via bifurcation diagrams; theories relating to optical choppers with rotating wheels; dynamics in expert systems; shooting methods for non-standard boundary value problems; automatic sleep scoring governed by delay differential equations; isochronous oscillations; the aerodynamics pendulum and its limit cycles; constrained N-body problems; nano-fractal oscillators and dynamically-coupled dry friction.

Ordinary Differential Equations and Mechanical Systems (Paperback, Softcover reprint of the original 1st ed. 2014): Jan... Ordinary Differential Equations and Mechanical Systems (Paperback, Softcover reprint of the original 1st ed. 2014)
Jan Awrejcewicz
R4,712 Discovery Miles 47 120 Ships in 7 - 11 work days

This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization. Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples and engineering intuition. The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering.

Mechatronics: Ideas, Challenges, Solutions and Applications (Paperback, 1st ed. 2016): Jan Awrejcewicz, Krzysztof J. Kalinski,... Mechatronics: Ideas, Challenges, Solutions and Applications (Paperback, 1st ed. 2016)
Jan Awrejcewicz, Krzysztof J. Kalinski, Roman Szewczyk, Malgorzata Kaliczynska
R4,326 Discovery Miles 43 260 Ships in 7 - 11 work days

This book presents recent advances and developments in control, automation, robotics, and measuring techniques. It presents contributions of top experts in the fields, focused on both theory and industrial practice. In particular the book is devoted to new ideas, challenges, solutions and applications of Mechatronics. The particular chapters present a deep analysis of a specific technical problem which is in general followed by a numerical analysis and simulation, and results of an implementation for the solution of a real world problem. The presented theoretical results, practical solutions and guidelines will be useful for both researchers working in the area of engineering sciences and for practitioners solving industrial problems.

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