Erratum to ‘Non-linear targeted energy transfer of two coupled cantilever beams coupled to a bistable light attachment’ [J. Sound Vib. 373 (2016) 29–51]

2017 ◽  
Vol 389 ◽  
pp. 502-503
Author(s):  
P.-O. Mattei ◽  
R. Ponçot ◽  
M. Pachebat ◽  
R. Côte
Keyword(s):  
Energy Transfer ◽  
Cantilever Beams ◽  
Targeted Energy Transfer ◽  
Non Linear

Targeted energy transfer in a 2-DOF mechanical system coupled to a non-linear energy sink with varying stiffness

2015 ◽  
Vol 23 (16) ◽  
pp. 2567-2577 ◽  
Author(s):  
Claude-Henri Lamarque ◽  
F Thouverez ◽  
B Rozier ◽  
Z Dimitrijevic
Keyword(s):  
Energy Transfer ◽  
Mechanical System ◽  
Degrees Of Freedom ◽  
Dynamical Behavior ◽  
Practical Investigations ◽  
Targeted Energy Transfer ◽  
Constant Stiffness ◽  
Non Linear ◽  
Energy Sink ◽  
Linear Mechanical System

The dynamical behavior of a non-linear mechanical system with two degrees of freedom (DOFs) during free and forced excitations is studied analytically and numerically. The non-linearity of the system is represented intentionally by a smooth non-linear simple function with periodically varying stiffness around a constant value for the sake of practical investigations. Analysis of the system leads to a method that could be used to design the non-linear energy sink (NES) so that the behavior of the system during relaxation and its strongly modulated response (SMR) could be improved versus the constant stiffness configuration.

scholarly journals Numerical Study Of The Targeted Energy Transfer Between The Euler-Bernoulli Beam And A Nonlinear Energy Sink

2021 ◽  
Author(s):  
Mohi U. Rahamat Ullah
Keyword(s):  
Energy Transfer ◽  
Primary Structure ◽  
Numerical Study ◽  
Element Model ◽  
Impact Excitation ◽  
Nonlinear Stiffness ◽  
Targeted Energy Transfer ◽  
Stiffness Property ◽  
Energy Sink ◽  
The Impact

Targeted energy transfer (TET) refers to the spatial transfer of energy between a primary structure of interest and isolated oscillators called the energy sink (ES). In this work, the primary structure of interest is a slender beam modeled by the Euler-Bernoulli theory, and the ES is a single-degree-of-freedom oscillator with either linear or cubic nonlinear stiffness property. The objective of this study is to characterize the TET and the effectiveness of ES under impact and periodic excitations. By using the scientific computation package, MATLAB, numerical simulations are carried out based on excitations of various strength and locations. Both time and frequency domain characterizations are used. For the impact excitation, the ES with the cubic nonlinear stiffness property is more superior to the linear oscillator in that larger percentage of the impact energy can be dissipated there. The main energy transfer was found to be due to a 3- to-1 frequency coupling between the first bending mode and the ES. For the periodic excitation, however, both linear and nonlinear ES exhibit generally poorer performance than the case with the impact excitation. Future works should focus on the frequency-energy relationship of the periodic solution of the underlying Hamiltonian, as well as using finite element model to verify the simulation results.

Characterization of automotive dampers using higher order frequency response functions

1997 ◽  
Vol 211 (3) ◽  
pp. 181-203 ◽  
Author(s):  
S Cafferty ◽  
G. R. Tomlinson
Keyword(s):  
Energy Transfer ◽  
Frequency Response ◽  
Ride Comfort ◽  
Higher Order ◽  
Suspension System ◽  
Response Functions ◽  
Frequency Response Functions ◽  
Damping Coefficients ◽  
Non Linear ◽  
Linear Behaviour

Automotive dampers are an important element of a vehicle's suspension system for controlling road handling and passenger ride comfort. Many automotive dampers have non-linear asymmetric characteristics to accommodate the incompatible requirements between ride comfort and road handling, thus the ride comfort engineer requires techniques that can characterize this non-linear behaviour and provide models of the dampers for use in ride performance simulations of the full suspension system. The work presented in this paper is concerned with developing a frequency domain technique using higher order frequency response functions (HFRFs) to characterize a Monroe automotive damper. The principal diagonals and multidimensional surfaces of the HFRFs up to third order are obtained. Non-linear damping coefficients for the damper are derived from the HFRFs and the energy transfer properties are investigated. The results show that the majority of the HFRFs contain no peaks or resonances, indicating that the damper has no preferred frequencies for energy transfer. The accuracy of the damping coefficients determined from the HFRFs is poor. This is due to the inability of the technique to measure the pure HFRFs and separate the effects of non-linearities in the input actuator from those in the damper. It is concluded that these constraints currently impose some limit on the use of the methodology.

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