Nonlinear Vibration Reduction

Nonlinear Vibration Reduction
Author: Albert C. J. Luo
Publisher: Springer Nature
Total Pages: 104
Release: 2022-11-30
Genre: Technology & Engineering
ISBN: 3031174992

The tuned mass damper is one of the classic dynamic vibration absorbers with effective devices for energy dissipation and vibration reduction. The electromagnetically tuned mass damper system is extensively used for vibration reduction in engineering. A better understanding of the nonlinear dynamics of the electromagnetically tuned mass damper system is very important to optimize the parameters of such systems for vibration reduction. However, until now, one cannot fully understand complex periodic motions in such a nonlinear, electromagnetically tuned mass damper system. In this book, the semi-analytical solutions of periodic motions are presented through period-1, period-3, period-9, and period-12 motions. The corresponding stability and bifurcations of periodic motions are determined. The frequency-amplitude characteristics for bifurcation routes of such higher-order periodic motions are presented. This book helps people better understand the dynamical behaviors of an electromagnetically tuned mass damper system for the new development and design of vibration reduction and energy harvesting systems.

Harmonic Balance for Nonlinear Vibration Problems

Harmonic Balance for Nonlinear Vibration Problems
Author: Malte Krack
Publisher: Springer
Total Pages: 167
Release: 2019-03-23
Genre: Technology & Engineering
ISBN: 3030140237

This monograph presents an introduction to Harmonic Balance for nonlinear vibration problems, covering the theoretical basis, its application to mechanical systems, and its computational implementation. Harmonic Balance is an approximation method for the computation of periodic solutions of nonlinear ordinary and differential-algebraic equations. It outperforms numerical forward integration in terms of computational efficiency often by several orders of magnitude. The method is widely used in the analysis of nonlinear systems, including structures, fluids and electric circuits. The book includes solved exercises which illustrate the advantages of Harmonic Balance over alternative methods as well as its limitations. The target audience primarily comprises graduate and post-graduate students, but the book may also be beneficial for research experts and practitioners in industry.

Nonlinear Vibrations and Stability of Shells and Plates

Nonlinear Vibrations and Stability of Shells and Plates
Author: Marco Amabili
Publisher: Cambridge University Press
Total Pages: 391
Release: 2008-01-14
Genre: Science
ISBN: 1139469029

This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.

Advanced Nonlinear Strategies for Vibration Mitigation and System Identification

Advanced Nonlinear Strategies for Vibration Mitigation and System Identification
Author: Alexander F. Vakakis
Publisher: Springer Science & Business Media
Total Pages: 307
Release: 2011-01-27
Genre: Technology & Engineering
ISBN: 3709102057

The papers in this volume address advanced nonlinear topics in the general areas of vibration mitigation and system identification, such as, methods of analysis of strongly nonlinear dyanmical systems; techniques and methodologies for interpreting complex, multi-frequency transitions in damped nonlinear responses; new approaches for passive vibration mitigation based on nonlinear targeted energy transfer (TET) and the associated concept of nonlinear energy sink (NES); and an overview and assessment of current nonlinear system identification techniques.

Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems

Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems
Author: Alexander F. Vakakis
Publisher: Springer Science & Business Media
Total Pages: 1030
Release: 2008-12-24
Genre: Technology & Engineering
ISBN: 1402091303

This monograph evolved over a period of nine years from a series of papers and presentations addressing the subject of passive vibration control of mechanical s- tems subjected to broadband, transient inputs. The unifying theme is Targeted - ergy Transfer – TET, which represents a new and unique approach to the passive control problem, in which a strongly nonlinear, fully passive, local attachment, the Nonlinear Energy Sink – NES, is employed to drastically alter the dynamics of the primary system to which it is attached. The intrinsic capacity of the properly - signed NES to promote rapid localization of externally applied (narrowband) - bration or (broadband) shock energy to itself, where it can be captured and dis- pated, provides a powerful strategy for vibration control and the opens the pos- bility for a wide range of applications of TET, such as, vibration and shock i- lation, passive energy harvesting, aeroelastic instability (?utter) suppression, se- mic mitigation, vortex shedding control, enhanced reliability designs (for ex- ple in power grids) and others. The monograph is intended to provide a thorough explanation of the analytical, computational and experimental methods needed to formulate and study TET in mechanical and structural systems. Several prac- cal engineering applications are examined in detail, and experimental veri?cation and validation of the theoretical predictions are provided as well. The authors also suggest a number of possible future applications where application of TET seems promising. The authors are indebted to a number of sponsoring agencies.

Nonlinear Vibration with Control

Nonlinear Vibration with Control
Author: David Wagg
Publisher: Springer
Total Pages: 461
Release: 2014-11-03
Genre: Technology & Engineering
ISBN: 3319106449

This book provides a comprehensive discussion of nonlinear multi-modal structural vibration problems, and shows how vibration suppression can be applied to such systems by considering a sample set of relevant control techniques. It covers the basic principles of nonlinear vibrations that occur in flexible and/or adaptive structures, with an emphasis on engineering analysis and relevant control techniques. Understanding nonlinear vibrations is becoming increasingly important in a range of engineering applications, particularly in the design of flexible structures such as aircraft, satellites, bridges, and sports stadia. There is an increasing trend towards lighter structures, with increased slenderness, often made of new composite materials and requiring some form of deployment and/or active vibration control. There are also applications in the areas of robotics, mechatronics, micro electrical mechanical systems, non-destructive testing and related disciplines such as structural health monitoring. Two broader themes cut across these application areas: (i) vibration suppression – or active damping – and, (ii) adaptive structures and machines. In this expanded 2nd edition, revisions include: An additional section on passive vibration control, including nonlinear vibration mounts. A more in-depth description of semi-active control, including switching and continuous schemes for dampers and other semi-active systems. A complet e reworking of normal form analysis, which now includes new material on internal resonance, bifurcation of backbone curves and stability analysis of forced responses. Further analysis of the nonlinear dynamics of cables including internal resonance leading to whirling. Additional material on the vibration of systems with impact friction. The book is accessible to practitioners in the areas of application, as well as students and researchers working on related topics. In particular, the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control, but no specialist knowledge in nonlinear dynamics or nonlinear control.

Nonlinear Dynamics and Control

Nonlinear Dynamics and Control
Author:
Publisher:
Total Pages: 346
Release: 2020
Genre: Nonlinear mechanics
ISBN: 9783030347482

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.

Vibration Engineering for a Sustainable Future

Vibration Engineering for a Sustainable Future
Author: Sebastian Oberst
Publisher: Springer Nature
Total Pages: 408
Release: 2021-04-22
Genre: Technology & Engineering
ISBN: 3030481530

This volume presents the proceedings of the Asia-Pacific Vibration Conference (APVC) 2019, "Vibration Engineering for a Sustainable Future," emphasizing work devoted to numerical simulation and modelling. The APVC is one of the larger conferences held biannually with the intention to foster scientific and technical research collaboration among Asia-Pacific countries. The APVC provides a forum for researchers, practitioners, and students from, but not limited to, areas around the Asia-Pacific countries in a collegial and stimulating environment to present, discuss and disseminate recent advances and new findings on all aspects of vibration and noise, their control and utilization. All aspects of vibration, acoustics, vibration and noise control, vibration utilization, fault diagnosis and monitoring are appropriate for the conference, with the focus this year on the vibration aspects in dynamics and noise & vibration. This 18th edition of the APVC was held in November 2019 in Sydney, Australia. The previous seventeen conferences have been held in Japan (‘85, ’93, ‘07), Korea (’87, ’97, ‘13), China (’89, ’01, ’11, ‘17), Australia (’91, ‘03), Malaysia (’95, ‘05), Singapore (‘99), New Zealand (‘09) and Vietnam (‘15).

Vibrations and Stability

Vibrations and Stability
Author: Jon Juel Thomsen
Publisher: Springer Science & Business Media
Total Pages: 420
Release: 2013-11-11
Genre: Technology & Engineering
ISBN: 3662107937

An ideal text for students that ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations with the tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.

Advanced Seat Suspension Control System Design for Heavy Duty Vehicles

Advanced Seat Suspension Control System Design for Heavy Duty Vehicles
Author: Haiping Du
Publisher: Academic Press
Total Pages: 316
Release: 2020-05-22
Genre: Technology & Engineering
ISBN: 0128226838

Advanced Seat Suspension Control System Design for Heavy Duty Vehicles provides systematic knowledge of the advanced seat suspension design and control for heavy duty vehicles. Nowadays, people are paying more and more attention to ride comfort and the health of drivers and passengers. This is especially for heavy duty vehicles, where drivers/operators are exposed to much severer vibrations than those in passenger vehicles due to a harsh working environment, operating conditions, and long hour driving, etc. Seat suspension systems can effectively help to suppress the high magnitude vibration transmitted to drivers with relatively simple structure and low cost, and hence are widely adopted in heavy duty vehicles. This book helps researchers and engineers to have a comprehensive understanding of the seat suspension system and to conduct in-depth studies on seat suspension design and control; this book covers a wide range of perspectives about seat suspension design and control methods. - Describes the variable damping, variable stiffness, and, especially, variable inertance seat suspensions - Provides the advanced and comprehensive knowledge about semi-active vibration control - Introduces the multiple-DOF seat suspension - Includes the innovative hybrid seat suspension and nonlinear seat suspension - All the introduced designs have been prototyped and experimentally validated - Provides Matlab Simulation programming codes