Vibration control using an air damped dynamic vibration absorber: theory of the three-element type of dynamic vibration absorber

摘要

In this paper, we propose a dynamic vibration absorber (DVA) with an air damper consisting of a piston and a cylinder. The dynamic behavior of the air damper can conveniently be represented by the Maxwell model where a spring element and a dashpot are connected in series. For the air damper placed vertically in the gravitational field, it is necessary for the piston to be supported by a spring which is placed in parallel with the damper. Thus, the air damped DVA can be modeled using a three-element model. Many studies have been done on the Voigt type of DVA, and the accurate expressions of optimum tuning and damping parameters have already derived by Hahnkamm and Brock et al. However, only a few papers have been published on the three-element typeof DVA, and reliable expressions for it have not been derived until now. Therefore, we began our work by trying to derive expressions for optimum parameters of the three-element type of DVA. It was clear that the optimized three-element type of DVA issuperior to the conventional Voigt type of DVA. The optimum parameters which we obtained from our expressions were tested on a vibratory model. The experiments showed that the our expression is very useful for designing the air damped DVA.