Steady-State Behavior of Systems Provided With Nonlinear Dynamic Vibration Absorbers

1955 ◽  
Vol 22 (4) ◽  
pp. 487-492
Author(s):  
F. R. Arnold
Keyword(s):  
Nonlinear Dynamic ◽  
Simple Procedure ◽  
Vibration Absorbers ◽  
System Behavior ◽  
State Behavior ◽  
Dynamic Vibration ◽  
Extensive Information ◽  
Dynamic Vibration Absorbers ◽  
Steady State Behavior ◽  
Vibrating Systems

Abstract The response of vibrating systems subjected to sinusoidal excitations and to the action of nonlinear dynamic vibration absorbers is determined by means of a simple procedure. Extensive information including that from more complicated methods of analysis is obtainable. System behavior is described by means of “response diagrams,” and certain peculiarities are discussed.

scholarly journals Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis

2010 ◽  
Vol 17 (4-5) ◽  
pp. 507-520 ◽  
Author(s):  
R.A. Borges ◽  
A.M.G. de Lima ◽  
V. Steffen Jr.
Keyword(s):  
Sensitivity Analysis ◽  
Optimal Design ◽  
Nonlinear Dynamic ◽  
Vibration Absorber ◽  
Vibration Absorbers ◽  
Optimization Strategy ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration ◽  
Robust Optimal Design ◽  
Dynamic Vibration Absorbers

Dynamic vibration absorbers are discrete devices developed in the beginning of the last century used to attenuate the vibrations of different engineering structures. They have been used in several engineering applications, such as ships, power lines, aeronautic structures, civil engineering constructions subjected to seismic induced excitations, compressor systems, etc. However, in the context of nonlinear dynamics, few works have been proposed regarding the robust optimal design of nonlinear dynamic vibration absorbers. In this paper, a robust optimization strategy combined with sensitivity analysis of systems incorporating nonlinear dynamic vibration absorbers is proposed. Although sensitivity analysis is a well known numerical technique, the main contribution intended for this study is its extension to nonlinear systems. Due to the numerical procedure used to solve the nonlinear equations, the sensitivities addressed herein are computed from the first-order finite-difference approximations. With the aim of increasing the efficiency of the nonlinear dynamic absorber into a frequency band of interest, and to augment the robustness of the optimal design, a robust optimization strategy combined with the previous sensitivities is addressed. After presenting the underlying theoretical foundations, the proposed robust design methodology is performed for a two degree-of-freedom system incorporating a nonlinear dynamic vibration absorber. Based on the obtained results, the usefulness of the proposed methodology is highlighted.

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