Vibro-Impact Dynamics: Modeling, Mapping and Applications

ISBN-13: 9783642101335 / Angielski / Miękka / 2010 / 298 str.

Springer

Opis

Vibro-impact dynamics has occupied a wide spectrum of studies by dyn- icists, physicists, and mathematicians. These studies may be classi?ed into three main categories: modeling, mapping and applications. The main te- niques used in modeling of vibro-impact systems include phenomenological modelings, Hertzian models, and non-smooth coordinate transformations- velopedbyZhuravlevandIvanov. Oneofthemostcriticalsituationsimpeded invibro-impactsystemsisthegrazingbifurcation. Grazingbifurcationisu- ally studied through discontinuity mapping techniques, which are very useful to uncover the rich dynamics in the process of impact interaction. Note the availablemappings arevalidonly intheabsenceofnon-impactnonlinearities. Complex dynamic phenomena of vibro-impact systems include subharmonic oscillations, chaotic motion, and coexistence of di?erent attractors for the sameexcitationand systemparametersbut under di?erent initial conditions. Selectedapplicationsofvibro-impactdynamics. Theseincludelumpedand continuous systems. Lumped systems cover a bouncing ball on an oscillating barrier, mass-spring-dashpot systems, normal and inverted pendulums, the spherical pendulum, the ship roll motion against icebergs, joints with fr- play, rotor-stator rubbing in rotating machinery, vocal folds, microactuators, strings, beams, pipes conveying ?uids with end-restraints, nuclear reactors and heat exchangers, and plates. These applications are discussed within the framework of the deterministic theory. Under random excitation the tre- ment requires special tools. The techniques of equivalent linearization and stochastic averaging have been applied to limited number of problems. One of the most bene?cial outcomesof vibro-impact dynamics is the development of impact dampers, which have witnessed signi?cant activities over the last four decades and have been used in several applications. On the other hand, vibro-impacthas detrimental e?ects on the operationsof mechanicalsystems and damage of pipes and rods in nuclear reactors.

Spis treści

Modeling and Analytical Approaches.- Mapping of Grazing and C–Bifurcations.- Single–Degree–of–Freedom Systems.- Two– and Multi–Degree–of–Freedom Systems.- Non–Classical Lumped Systems.- Continuous Systems.- Stochastic Vibro–Impact Dynamics.- Impact Dampers.

O autorze

Raouf A. Ibrahim is a Professor of Mechanical Engineering at Wayne State University. From 1963 till 1971, he worked as a research engineer at the Aerospace Research Center of rockets industry in Egypt, then gained his PhD in Mechanical Engineering from the University of Edinburgh in 1974. From 1976 to 1979, he worked as a Senior Research Specialist at Sakr Factory in Cairo and worked as an Adjunct Assistant Professor at Cairo University. In 1979, he moved to the United States and worked at Shaker Research Corporation, before joining Texas Tech University in 1980 as Assistant, Associate, and then full Professor. In 1987, he joined Wayne State University and continued his research activities in nonlinear random vibration, liquid sloshing dynamics, friction-induced vibration, and flutter of aeroelastic structures. In 1994 he was named the Arthur Carr Professor of Engineering and in 1995 he was awarded the Board of Governors Outstanding Professor Award. He has published more than ninety papers in refereed journals, and a research monograph entitled Parametric Random Vibration (Wiley, 1985). He is a Fellow of ASME and Associate Fellow of AIAA.

Blurb

Vibro-impact dynamics has occupied a wide spectrum of studies by dynamicists, physicists, and mathematicians. These studies may be classified into three main categories: modeling, mapping and applications. The main techniques used in modeling of vibro-impact systems such as phenomenological modelings, Hertzian models, and non-smooth coordinate transformations developed by Zhuravlev and Ivanov are outlined. One of the most critical situations impeded in vibro-impact systems is the grazing bifurcation. Grazing bifurcation is usually studied through discontinuity mapping techniques, which are very useful to uncover the rich dynamics in the process of impact interaction. This book also considers selected deterministic and stochastic applications of vibro-impact dynamics which cover lumped and continuous systems. One of the most beneficial outcomes of vibro-impact dynamics is the development of impact dampers, which have witnessed significant activities over the last four decades and have been used in several applications. The book is supported by an extensive bibliography which exceeds 1,100 references.