Dynamics Of Mechanical Systems With Non Ideal Excitation

In this book the dynamics of the non-ideal oscillatory system, in which the excitation is influenced by the response of the oscillator, is presented. Linear and nonlinear oscillators with one or more degrees of freedom interacting with one or more energy sources are treated. This concerns for example oscillating systems excited by a deformed elastic connection, systems excited by an unbalanced rotating mass, systems of parametrically excited oscillator and an energy source, frictionally self-excited oscillator and an energy source, energy harvesting system, portal frame – non-ideal source system, non-ideal rotor system, planar mechanism – non-ideal source interaction. For the systems the regular and irregular motions are tested. The effect of self-synchronization, chaos and methods for suppressing chaos in non-ideal systems are considered. In the book various types of motion control are suggested. The most important property of the non-ideal system connected with the jump-like transition from a resonant state to a non-resonant one is discussed. The so called ‘Sommerfeld effect’, resonant unstable state and jumping of the system into a new stable state of motion above the resonant region is explained. A mathematical model of the system is solved analytically and numerically. Approximate analytical solving procedures are developed. Besides, simulation of the motion of the non-ideal system is presented. The obtained results are compared with those for the ideal case. A significant difference is evident. The book aims to present the established results and to expand the literature in non-ideal vibrating systems. A further intention of the book is to give predictions of the effects for a system where the interaction between an oscillator and the energy source exist. The book is targeted at engineers and technicians dealing with the problem of source-machine system, but is also written for PhD students and researchers interested in non-linear and non-ideal problems.

Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with motion-dependent discontinuities. In engineering practice a good part of problems is discontinuous in nature, due to either deliberate reasons such as the introduction of working clearance, and/or the finite accuracy of the manufacturing processes. The main objective of this volume is to provide a general methodology for describing, solving and analysing discontinuous systems. It is compiled from the dedicated contributions written by experts in the field of applied nonlinear dynamics and chaos. The main focus is on mechanical engineering problems where clearances, piecewise stiffness, intermittent contact, variable friction or other forms of discontinuity occur. Practical applications include vibration absorbers, percussive drilling of hard materials and dynamics of metal cutting. Contents:PreliminariesMathematical Models of Mechanical Systems with DiscontinuitiesTemporal and Spatial Discontinuity TransformationsExtensions of Cell Mapping for Discontinuous SystemsImpact OscillatorDynamics of Piecewise Linear OscillatorsQuenching of Self-Excited Vibrations by Impact DamperDynamic Phenomena in Gear BoxesRigorous Methods and Numerical Results for Dry Friction ProblemsForced Self-Excited Vibration with Dry FrictionStick–Slip and the Phase-Space ReconstructionMultidegree of Freedom Systems with Dry FrictionDynamic Instabilities in Spinning DisksImpacts and Dry FrictionNonlinear Dynamics of Orthogonal Metal CuttingDynamics of Ultrasonic Drilling of Hard Materials Readership: Mechanical engineers. keywords:Nonlinear Dynamics;Discontinuity;Mechanical System;Impacts;Dry Friction;Applications;Chaos “… this volume provides readers with an excellent treatment of such discontinuous systems and can be a good source of ideas to attack those systems effectively … one is immediately obliged to recognize that it is in fact a series of fifteen jewels, which one would hardly find in the relevant more mathematically oriented literature.” Mathematical Reviews

The book covers a wide range of applied engineering research compactly presented in one volume, and shows innovative practical engineering solutions for automotive, marine and aviation industries, as well as power generation related to nonlinear vibrations excited by limited power sources. While targeting primarily the audience of professional scientists and engineers, the book can also be useful for graduate students, and for all of those who are relatively new to the area and are looking for a single source with a good overview of the state-of-the-art as well as up-to-date information on theories, analytical, numerical methods, and their applications in design, simulations, testing, and manufacturing. The readers will find here a rich mixture of approaches, software tools and case studies used to investigate and optimize diverse powertrains, their functional units and separate machine parts based on different physical phenomena, their mathematical model representations, solution algorithms, and experimental validation.

Mechanical systems are becoming increasingly sophisticated and continually require greater precision, improved reliability, and extended life. To meet the demand for advanced mechanisms and systems, present and future engineers must understand not only the fundamental mechanical components, but also the principles of vibrations, stability, and bala

This book presents the innovative and interdisciplinary application of advanced technologies. It includes the scientific outcomes and results of the conference 12th Day of Bosnian-Herzegovinian American Academy of Art and Sciences held in Mostar, Bosnia, and Herzegovina, June 24-27, 2021. The latest developments in various fields of engineering have been presented through various papers in civil engineering, mechanical engineering, computing, electrical and electronics engineering, and others. A new session, Sustainable Urban Development: Designing Smart, Inclusive and Resilient Cities, was organized, enabling experts in this field to exchange their knowledge and expertise.

Volume is indexed by Thomson Reuters CPCI-S (WoS). These proceedings of the International Conference on Applied Mechanics and Mechanical Engineering (ICAMME) cover the subject areas of: Acoustics and Noise Control, Ballistics, Biomechanics, Biomedical Engineering, CAD/CAM/CIM, CFD, Composite and Smart Materials, Compressible Flows, Computational Mechanics, Computational Techniques, Dynamics and Vibration, Energy Engineering and Management, Engineering Materials, Fatigue and Fracture, Applied Mechanics, Automation, Mechatronics and Robotics, Fluid Dynamics, Fluid Mechanics and Machinery, Fracture, Fuels and Combustion, Aerodynamics, Textile and Leather Technology, Transport Phenomena, Tribology, Automobiles, Automotive Engineering, General Mechanics, Geomechanics, Instrumentation and Control, Internal Combustion Engines, Machinery and Machine Design, Manufacturing and Production Processes, Marine System Design, Materials Science and Processing, Mechanical Design, Health and Safety, Heat and Mass Transfer, HVAC, Material Engineering, Mechanical Power Engineering, Mechatronics, Noise and Vibration, Noise Control, Non-Destructive Evaluation, Nonlinear Dynamics, Oil and Gas Exploration, Operations Management, PC Guided Design and Manufacture, MEMS and Nanotechnology, Multibody Dynamics, Nanomaterial Engineering, New and Renewable Energy, Plasticity Mechanics, Pollution and Environmental Engineering, Resistance and Propulsion, Robotic Automation and Control, Solid Mechanics, Structural Dynamics, Precision Mechanics, Mechatronics, Production Technology, Quality Assurance and Environmental Protection, System Dynamics and Simulation, Turbulence, Vibrations, etc. This volume offers a veritably encyclopedic coverage of the current state of the field of mechanical engineering.

This second of three volumes includes papers from the second series of NODYCON which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include · Nonlinear vibration control · Control of nonlinear systems and synchronization · Experimental dynamics · System identification and SHM · Multibody dynamics

This second of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics and Control. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume II include influence of nonlinearities on vibration control systems; passive, semi-active, active control of structures and systems; synchronization; robotics and human-machine interaction; network dynamics control (multi-agent systems, leader-follower dynamics, swarm dynamics, biological networks dynamics); and fractional-order control.