On the optimum absorber parameters: revising the classical results
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Donetsk National University, Department of Higher Mathematics and Methodology of Teaching, Vinnytsya
Lodz University of Technology, Department of Automation, Biomechanics and Mechatronics, Łódź
Submission date: 2016-12-21
Acceptance date: 2017-04-18
Online publication date: 2017-07-15
Publication date: 2017-07-15
Journal of Theoretical and Applied Mechanics 2017;55(3):1081-1089
The dynamic vibration absorber is a kind of mechanical device with inertia, stiffness, and damping. Once connected to a given structure or machine, it is capable of absorbing vibratory energy. As a result, the primary system can be protected from excessively high vibration levels. In this paper, we deal with classical Den Hartog’s model to clarify the known results and improve the mathematical component of this approach. We suggest the optimal choice of absorber parameters, which is slightly different and more general analytical approach. The comparison of two methods of optimization is carried out, and the corresponding error of calculus is estimated.
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