Le ratio d`amortissement est un paramètre du système, noté par le zêta (Zeta), qui peut varier d`un plan d`absorption (= 0), sous-amorti (1). Par exemple, une fourche d`accordage de haute qualité, qui a un rapport d`amortissement très bas, a une oscillation qui dure longtemps, en décomposition très lentement après avoir été frappée par un marteau. Lorsqu`un système de second ordre <1} (that is, when the system is underdamped), it has two complex conjugate poles that each have a real part of − α {displaystyle -alpha } ; that is, the decay rate parameter α {displaystyle alpha } represents the rate of exponential decay of the oscillations. It is also important in the harmonic oscillator. Damping not based on energy loss can be important in other oscillating systems such as those that occur in biological systems and bikes. The damping ratio is a measure describing how rapidly the oscillations decay from one bounce to the next. It is particularly important in the study of control theory. On each bounce, the system tends to return to its equilibrium position, but overshoots it. The behaviour of oscillating systems is often of interest in a diverse range of disciplines that include control engineering, chemical engineering, mechanical engineering, structural engineering, and electrical engineering. The damping ratio is a parameter, usually denoted by ζ (zeta),[3] that characterizes the frequency response of a second-order ordinary differential equation. The damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance. Depending on the amount of damping present, a system exhibits different oscillatory behaviors. Examples include viscous drag in mechanical systems, resistance in electronic oscillators, and absorption and scattering of light in optical oscillators.

Damping is an influence within or upon an oscillatory system that has the effect of reducing, restricting or preventing its oscillations. The damping ratio provides a mathematical means of expressing the level of damping in a system relative to critical damping. The physical quantity that is oscillating varies greatly, and could be the swaying of a tall building in the wind, or the speed of an electric motor, but a normalised, or non-dimensionalised approach can be convenient in describing common aspects of behavior. The damping ratio is dimensionless, being the ratio of two coefficients of identical units. (that=”” is,=”” when=”” the=”” system=”” is=”” underdamped),=”” it=”” has=”” two=”” complex=”” conjugate=”” poles=”” that=”” each=”” have=”” a=”” real=”” part=”” of=”” −=”” α=”” {displaystyle=”” -alpha=”” }=”” ;=”” that=”” is,=”” the=”” decay=”” rate=”” parameter=”” α=”” {displaystyle=”” alpha=”” }=”” represents=”” the=”” rate=”” of=”” exponential=”” decay=”” of=”” the=”” oscillations.=”” it=”” is=”” also=”” important=”” in=”” the=”” harmonic=”” oscillator.=”” damping=”” not=”” based=”” on=”” energy=”” loss=”” can=”” be=”” important=”” in=”” other=”” oscillating=”” systems=”” such=”” as=”” those=”” that=”” occur=”” in=”” biological=”” systems=”” and=”” bikes.=”” the=”” damping=”” ratio=”” is=”” a=”” measure=”” describing=”” how=”” rapidly=”” the=”” oscillations=”” decay=”” from=”” one=”” bounce=”” to=”” the=”” next.=”” it=”” is=”” particularly=”” important=”” in=”” the=”” study=”” of=”” control=”” theory.=”” on=”” each=”” bounce,=”” the=”” system=”” tends=”” to=”” return=”” to=”” its=”” equilibrium=”” position,=”” but=”” overshoots=”” it.=”” the=”” behaviour=”” of=”” oscillating=”” systems=”” is=”” often=”” of=”” interest=”” in=”” a=”” diverse=”” range=”” of=”” disciplines=”” that=”” include=”” control=”” engineering,=”” chemical=”” engineering,=”” mechanical=”” engineering,=”” structural=”” engineering,=”” and=”” electrical=”” engineering.=”” the=”” damping=”” ratio=”” is=”” a=”” parameter,=”” usually=”” denoted=”” by=”” ζ=”” (zeta),[3]=”” that=”” characterizes=”” the=”” frequency=”” response=”” of=”” a=”” second-order=”” ordinary=”” differential=”” equation.=”” the=”” damping=”” ratio=”” is=”” a=”” dimensionless=”” measure=”” describing=”” how=”” oscillations=”” in=”” a=”” system=”” decay=”” after=”” a=”” disturbance.=”” depending=”” on=”” the=”” amount=”” of=”” damping=”” present,=”” a=”” system=”” exhibits=”” different=”” oscillatory=”” behaviors.=”” examples=”” include=”” viscous=”” drag=”” in=”” mechanical=”” systems,=”” resistance=”” in=”” electronic=”” oscillators,=”” and=”” absorption=”” and=”” scattering=”” of=”” light=”” in=”” optical=”” oscillators.=”” damping=”” is=”” an=”” influence=”” within=”” or=”” upon=”” an=”” oscillatory=”” system=”” that=”” has=”” the=”” effect=”” of=”” reducing,=”” restricting=”” or=”” preventing=”” its=”” oscillations.=”” the=”” damping=”” ratio=”” provides=”” a=”” mathematical=”” means=”” of=”” expressing=”” the=”” level=”” of=”” damping=”” in=”” a=”” system=”” relative=”” to=”” critical=”” damping.=”” the=”” physical=”” quantity=”” that=”” is=”” oscillating=”” varies=”” greatly,=”” and=”” could=”” be=”” the=”” swaying=”” of=”” a=”” tall=”” building=”” in=”” the=”” wind,=”” or=”” the=”” speed=”” of=”” an=”” electric=”” motor,=”” but=”” a=”” normalised,=”” or=”” non-dimensionalised=”” approach=”” can=”” be=”” convenient=”” in=”” describing=”” common=”” aspects=”” of=”” behavior.=”” the=”” damping=”” ratio=”” is=”” dimensionless,=”” being=”” the=”” ratio=”” of=”” two=”” coefficients=”” of=”” identical=”” units.=””></1} (that is, when the system is underdamped), it has two complex conjugate poles that each have a real part of − α {displaystyle -alpha } ; that is, the decay rate parameter α {displaystyle alpha } represents the rate of exponential decay of the oscillations. It is also important in the harmonic oscillator. Damping not based on energy loss can be important in other oscillating systems such as those that occur in biological systems and bikes. The damping ratio is a measure describing how rapidly the oscillations decay from one bounce to the next.

It is particularly important in the study of control theory. On each bounce, the system tends to return to its equilibrium position, but overshoots it. The behaviour of oscillating systems is often of interest in a diverse range of disciplines that include control engineering, chemical engineering, mechanical engineering, structural engineering, and electrical engineering. The damping ratio is a parameter, usually denoted by ζ (zeta),[3] that characterizes the frequency response of a second-order ordinary differential equation. The damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance. Depending on the amount of damping present, a system exhibits different oscillatory behaviors. Examples include viscous drag in mechanical systems, resistance in electronic oscillators, and absorption and scattering of light in optical oscillators. Damping is an influence within or upon an oscillatory system that has the effect of reducing, restricting or preventing its oscillations. The damping ratio provides a mathematical means of expressing the level of damping in a system relative to critical damping. The physical quantity that is oscillating varies greatly, and could be the swaying of a tall building in the wind, or the speed of an electric motor, but a normalised, or non-dimensionalised approach can be convenient in describing common aspects of behavior. The damping ratio is dimensionless, being the ratio of two coefficients of identical units. > a un