the nonlinear twodegreeoffreedom system under consider consist linear oscil relat big mass which approxim some continu elast system vibroimpact oscil relat small mass which absorb linear system vibrat analysi nonlinear normal vibrat mode show stabl local vibrat mode which provid vibrat regim appropri elast vibrat absorpt exist larg region system paramet regim amplitud vibrat linear system small simultan vibrat absorb signific

Yuri V. Mikhlin

S. N. Reshetnikova

Dynamical interaction of an elastic system and a vibro-impact absorber

José Manoel Balthazar

Nonlinear dynamics and their applications to engineering sciences

vibrat nonlinear oscil attach pendulum excit movement it point suspens have been analys paper the deriv differenti equat motion show system strong nonlinear motion both subsystem pendulum oscil strong coupl inerti term lead socal autoparametr vibrat has been found motion oscil forc extern harmon forc has been dynam elimin pendulum oscil influenc nonlinear spring vibrat absorpt near main parametr reson region has been carri out analyt wherea transit from regular chaotic vibrat has been present use numer method transmiss forc foundat regular chaotic vibrat present well

J.  Warminski

K.  Kecik

Autoparametric vibrations of a nonlinear system with pendulum

this short contribut consid essenti nonlinear wave properti typic mechan system infinit straight bar circular ring flat plate found nonlinear reson experienc all system exhibit continu discret spectra respect multiwav interact stabil coupl mode respect small perturb discuss the emphasi place mechan phenomena exampl stress amplif although some analog some nonlinear optic system also obvious the nonlinear reson coupl plate within kirchhofflov approxim select twodimension exampl exhibit rich rang reson wave phenomena this origin examin use whitham averag lagrangian method particular exist three basic reson triad between longitudin shear bend mode shown some necessarili enter cascad wave process relat instabl some mode compon triad under small perturb

D. A. Kovriguine

G. A. Maugin

A. I. Potapov

Multiwave nonlinear couplings in elastic structures

this paper deal effect larg amplitud free forc flexur vibrat elast orthotrop plate arbitrari shape function method rfm appli obtain basi function need expans sought solut fourier seri the initi nonlinear system differenti equat partial deriv reduc system ordinari nonlinear differenti equat galerkin procedur the solvingobtain system carri out rungekutta galerkin method the numer result plate complex form also rectangular form differ boundari condit have been present compar other known result

L. V. Kurpa

T. V. Shmatko

O. G. Onufrienko

Research of nonlinear vibrations of orthotropic plates with a complex form

consid problem transvers oscil twolay straight bar which under action lengthwis random forc assum layer bar were made nonhomogen continu creep materi correspond modulus elast creep fraction order deriv constitut relat each layer continu function length coordin thick coordin partial fraction differenti equat particular solut case natur vibrat beam creep materi fraction deriv order constitut relat case influenc rotat inertia deriv for case natur creep vibrat eigenfunct time function differ exampl boundari condit determin use deriv partial fraction differenti equat beam vibrat almost sure stochast stabil beam dynam shape correspond shape beam elast form forc bound axial nois excit investig use ariaratnam idea well averag method top lyapunov expon evalu asymptot when intens excit process small

Katica (Stevanovic) Hedrih

The transversal creeping vibrations of a fractional derivative order constitutive relation of nonhomogeneous beam

present work hysteresi simul mean intern variabl analyt model differ type hysteresi loop enabl reproduct major minor loop provid good agreement experiment data using effect algorithm base analysi wander trajectori evolut chaotic behavior region oscil hysteresi present various parametr plane substanti influenc hysteret dissip valu form locat region also restrain generat effect hysteret dissip chao occurr shown demonstr fix paramet which govern shape hysteresi loop extent pinch loop could control mean amplitud frequenc extern period excit

J. Awrejcewicz

L. Dzyubak

Modeling, chaotic behavior, and control of dissipation properties of hysteretic systems

recent progress area nonlinear modal analysi structur system report systemat method develop generat minim size reducedord model accur describ vibrat largescal nonlinear engin structur the general approach make use nonlinear normal mode defin term invari manifold phase space system model effici galerkin project method develop which allow construct nonlinear mode accur out larg amplitud vibrat this approach success extend generat nonlinear mode system intern reson system subject extern excit the effect galerkinbas construct nonlinear normal mode also demonstr realist model rotat beam

Christophe  Pierre

Dongying  Jiang

Steven  Shaw

Nonlinear normal modes and their application in structural dynamics

the method both analysi model contact bushshaft system exhibit heat generat wear due friction present 35 from mathemat point view consid problem reduc analysi ordinari differenti equat govern chang veloc contact bodi integr volterratyp equat govern contact pressur behavior case where tribolog process neglect threshold chao detect use bifurc diagram lyapunov expon identif tool addit analyt mel nikov method appli predict chao shown among other tribolog process play stabil role the follow theoret background has been use analysi perturb method mel nikov techniqu 78 laplac transform theori integr equat various variant numer analysi

Jan Awrejcewicz

Yuriy Pyryev

Regular and chaotic motion of a bush-shaft system with tribological processes

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Chief Editor, Professor Guangming Xie, is currently a full professor of dynamics and control with the College of Engineering, Peking University. His research interests include complex system dynamics and control and intelligent and biomimetic robots.

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