Books written by Jan Awrejcewicz

Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-Type Methods

The critical review of the existing results in the field of classical Melnikov method application and beyond allows to ... First, it has been strongly emphasized that the Melnikov's method belongs to the perturbational (asymptotic) ...
Dynamics of Mechatronics Systems: Modeling, Simulation, Control, Optimization and Experimental Investigations

However, when a contact with the foreign object appears along the way of motion, the force control system controls the robot by adjusting the end-effector position. The force control ensures that the contact forces and moments converge ...
Mechatronics: Ideas for Industrial Applications

Guelle, D., Smith, A., Lewis, A., Bloodworth, T.: Metal detector handbook for humanitarian demining. Office for Official Publications of the European Communities, Luxembourg (2003) 2. Tumański, S.: Thin film magnetoresistive sensors.
Chaos in Structural Mechanics

Investigations are carried out using the qualitative theory of differential equations and nonlinear dynamics. In Chap. 9 scenarios of transition from harmonic to chaotic motions are illustrated and discussed.
Classical Mechanics: Kinematics and Statics

This is the first volume of three, devoted to Mechanics. This book contains classical mechanics problems including kinematics and statics.
Numerical Analysis: Theory and Application

Transactions of Optical methods and data processing in heat and fluid flow, IMECHE, London, pp. 423-432. Brown, W. P., Jr., (1966). Validity of the Rytov Approximation in Optical Propagation Calculations. Journals Optics Communications ...
Dynamical Systems in Theoretical Perspective: Łódź, Poland December 11 –14, 2017

This book focuses on theoretical aspects of dynamical systems in the broadest sense.
Classical Mechanics: Applied Mechanics and Mechatronics

This is the last book of three devoted to Mechanics, and uses the theoretical background presented in Classical Mechanics: Kinematics and Statics and Classical Mechanics: Dynamics.
Asymptotical Mechanics of Composites: Modelling Composites without FEM

The overall elastic response of composite materials. ... Mathematical problems in elasticity and homogenization. ... a new approach for studying homogenization, oscillation and concentration effects in partial differential equations.
Nonlinearity, Bifurcation and Chaos: Theory and Applications

Their Controls of an Atomic Force Microscopy (AFM) Vibrating Problem [40] Liu, S., Davidson, A., Lin, Q., ... [55] Richard W., B. And Nidal H. Microscopy in process engineering, An introdution to afm for improved processes and products, ...
Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields: Regular and Chaotic Dynamics of Micro/Nano Beams, and...

Eliseev, E.A., Morozovska, A.N., Glinchuk, M.D., Blinc, R.: Spontaneous flexoelectric/flexomagnetic effect in nanoferroics. Phys. Rev. B 79, 165433 (2009) 227. Liu, C.C., Hu, S.L., Shen, S.P.: Effect of flexoelectricity on electrostatic ...
Nonlinear Dynamics of Continuous Elastic Systems

A major part of the book is dedicated to the analysis of non-homogeneous continua, e.g. plates and shells characterized by sudden changes in their thickness, possessing holes in their bodies or/and edges, made from different materials with ...
Bifurcation and Chaos in Nonsmooth Mechanical Systems

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 ...
Linear and Nonlinear Waves in Microstructured Solids: Homogenization and Asymptotic Approaches

This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials.
Linear and Nonlinear Waves in Microstructured Solids: Homogenization and Asymptotic Approaches

This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials.
Dynamical Systems: Theoretical and Experimental Analysis: Łódź, Poland, December 7-10, 2015

... fatigue damage by using Palmgren-Miner rule. Higher amplitude of stress form loading cycle means higher portion of damage in this cycle. By increasing ... Acceleration of Vibration Tests 3.1 Random Vibration Tests Acceleration Possibilities.
Deterministic Chaos in One-Dimensional Continuous Systems

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.
Applied Non-Linear Dynamical Systems

Jan Awrejcewicz. Model. of. Nonlinear. Fractal. Oscillator. in. Nanosystem. Valeriy S. Abramov Abstract Based on the theory of fractional calculus and the concept of fractal the model of nonlinear fractal oscillator is proposed. Hamilton ...
Resonance

To mention just a few examples, acoustic, mechanical, or electromagnetic resonance can be distinguished. In the present book, 12 chapters dealing with different aspects of resonance phenomena have been presented.
Mechatronics: Ideas, Challenges, Solutions and Applications

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.