Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping

Starosvetsky, Yuli; Gendelman, Oleg

doi:10.1016/j.jsv.2009.02.052

Cited by 183 publications

(88 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…(17)) are given in Table 1 and compared with the resonance frequencies ω va i of the underlying linear system (k 3 = 0) of the dimensional model Eqs. (10)(11)(12). Also reported in Table 1 are the values of the reduced resonance frequencies ω i characterizing Eqs.…”

Section: Application To a Nominal Configurationmentioning

confidence: 99%

“…The dimensional equations of motion Eqs. (10)(11)(12) were solved with c Matlab ordinary differential equation (a) (b) solver (Runge-Kutta (4,5) formula), versus c Mathematica ordinary differential equations solver NDSolve (with the choice Automatic for the option Method) used with the nondimensional system (see previous Section). For the same parameters, the difference of the results obtained with the two solvers are in agreement with the precision of the numerical methods.…”

Section: Numerical Verificationmentioning

confidence: 99%

“…The dimensional equations of motion Eqs. (10)(11)(12) were solved assuming zero initial conditions (t 0 = 0). Fig.…”

Section: Numerical Verificationmentioning

confidence: 99%

“…On the other hand, the NES can operate efficiently only in a limited range of the amplitude of the primary system. Following these results, design and optimization of the nonlinear absorber have been addressed in [9,10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Responses of a two degree-of-freedom system coupled to a nonlinear damper under multi-forcing frequencies

Bellizzi

Côte

Pachebat

2013

Journal of Sound and Vibration

View full text Add to dashboard Cite

In this paper, forced responses are investigated in a two degree-of-freedom linear system with a linear coupling to a Nonlinear Energy Sink (NES) subjected to quasi-periodic excitation. The quasi-periodic regimes associated to quasi-periodic forcing in the regime of 1:1-1:1 are studied analytically using the complexification method combined to the averaging method in terms of multi-time parameter. Local bifurcations of the quasi-periodic regimes are also analyzed using the excitation frequencies as control parameters. The nonlinear differential system is also solved numerically in time domain and the responses are analyzed in view of the analytical results. Stable and unstable quasi-periodic responses are found in good agreement with the analytical study, and strongly modulated responses are noticed. We observe that a single NES can be efficient for the reduction of two resonance peaks even if they are well separated, incommensurable, and excited simultaneously.

show abstract

Section: Application To a Nominal Configurationmentioning

confidence: 99%

Section: Numerical Verificationmentioning

confidence: 99%

“…The dimensional equations of motion Eqs. (10)(11)(12) were solved assuming zero initial conditions (t 0 = 0). Fig.…”

Section: Numerical Verificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Responses of a two degree-of-freedom system coupled to a nonlinear damper under multi-forcing frequencies

Bellizzi

Côte

Pachebat

2013

Journal of Sound and Vibration

View full text Add to dashboard Cite

show abstract

“…On the other hand, the NES can operate efficiently only in a limited range of the amplitude. Following these results, design and optimization of the nonlinear absorber have been addressed in [8,9].…”

Section: Introductionmentioning

confidence: 99%