Discussion: “Analysis of a Nonlinear Dynamic Vibration Absorber” (Pipes, L. A., 1953, ASME J. Appl. Mech., 20, pp. 515–518)

1954 ◽  
Vol 21 (3) ◽  
pp. 301
Author(s):  
H. Norman Abramson
Keyword(s):  
Nonlinear Dynamic ◽  
Vibration Absorber ◽  
Dynamic Vibration Absorber ◽  
Dynamic Vibration

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.

Reduction of Primary Resonance Amplitude of Nonlinear Oscillator by a New Type of Nonlinear Dynamic Vibration Absorber

2007 ◽  
Author(s):  
Hoonhee Jo ◽  
Hiroshi Yabuno
Keyword(s):  
Frequency Response ◽  
Nonlinear Dynamic ◽  
Primary Resonance ◽  
Vibration Absorber ◽  
Spring Stiffness ◽  
Dynamic Vibration Absorber ◽  
Resonance Amplitude ◽  
Nonlinear Spring ◽  
Dynamic Vibration ◽  
Main System

The paper proposes a nonlinear dynamic vibration absorber for primary external resonance of system having cubic nonlinearity. A main system with nonlinear spring stiffness and subjected to harmonic excitation is considered. We calculate nonlinear spring stiffness produced by repulsive force of permanent magnets using Coulomb’s law. A damped pendulum system, whose natural frequency is in the neighborhood of twice that of the main system, is nonlinear coupled to the main system by link as a dynamic vibration absorber. This nonlinear dynamic vibration bsorber does not utilize linear coupling to the main system but utilizes nonlinear coupling. Therefore, the attachment of the nonlinear dynamic vibration absorber does not increase the number of degrees of freedom of the main system. Primary resonance amplitude is decreased in the case when pendulum is unlocked and hysteresis of the frequency response curve is disappeared. This means that attachment of dynamic vibration absorber has the same effect that increases directly the damping coefficent of the main system. Experimental results for this type of device are compared with a numerical results obtained from Runge-Kutta method. Comparison of the frequency response curves with and without nonlinear dynamic vibration absorber show validity of the proposed absorber.

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