A simple method to design and analyze dynamic vibration absorber using dimensional analysis. (January 2021)

• Record Type: Journal Article
• Authors: Karimi, Mahdi; Shemshadi, Mehrdad; Firoozfam, Naghmeh
• Is Part Of: Journal of vibration and control. Volume 27:Number 1/2(2021)
• Page Start: 73
• Page End: 81
• Publication Date: 2021-01
• Subjects: Dynamic vibration absorber -- optimal design -- dimensional analysis -- MATLAB/Simulink; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546320923928
• Languages: English
• ISSNs: 1077-5463

Abstract

Addition of mass, spring, and damper as a dynamic vibration absorber to a structure that is vibrating out of the permissible vibration range can be an economic and applicable solution to reduce structure vibrations provided that the absorber is designed and adjusted properly. In practice, real structures are damped, which can make it impossible to design vibration absorbers without using numerical solutions and complicated calculations. Using dimensional analysis technique and data obtained from system simulation by MATLAB Simulink, this study aims to provide simple and reliable correlations for designing and analyzing vibration absorbers. For this purpose, the motion equations of a one-degree-of-freedom system with a vibration absorber and a harmonic force applied is simulated. Use of a set of simulation output data to minimize the maximum motion amplitude of the structure along with multiple linear regression method enables determination of unknown coefficients of the correlations derived from dimensional analysis. Studies show that mass ratio and stiffness ratio are important for designing vibration absorbers for undamped and damped structures, respectively. The correlations are validated using the methods introduced in previous studies. Also, an example of vibration absorbers is calculated for an air compressor. The vibration absorber designed by this methodology results in a reduction in the magnification factor of the compressor by 78%.