Relation between Cubic Stiffness and Initial Conditions of Maximum Energy Dissipation in a Nonlinear Vibration Absorber

Xian Ren Kong; Ye Chi Zhang; Xiao Wei Shan

doi:10.4028/www.scientific.net/AMM.157-158.1331

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 157-158Relation between Cubic Stiffness and Initial...

Relation between Cubic Stiffness and Initial Conditions of Maximum Energy Dissipation in a Nonlinear Vibration Absorber

Abstract:

A novel technical finding is proposed based on the analytical study of the underlying conservative system of a small mass nonlinear vibration absorber coupled with a main structure. For the system with linear damping under impulsive excitation, a result is obtained that the initial energy for inducing maximum dissipation of energy in the nonlinear attachment is inversely proportional to the cubic stiffness. The technical point coincides with massive numerical simulations precisely. This relationship between the cubic stiffness and the initial conditions facilitates the tuning of a nonlinear vibration absorber for realizing optimal targeted energy transfer.

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Periodical:

Applied Mechanics and Materials (Volumes 157-158)

Pages:

1331-1335

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.157-158.1331

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Online since:

February 2012

Authors:

Xian Ren Kong, Ye Chi Zhang, Xiao Wei Shan

Keywords:

Coupled Oscillators, Cubic Stiffness, Nonlinear Vibration Absorber, Targeted Energy Transfer

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