This study focuses on the vibration of a planar rigid body taking into account the aerodynamic forces and looks at how location or length of the vibration absorber affects system stability. This rigid body is supported by a cubic spring on the elastic axis. The underneath attached vibration absorber is also considered a rigid body, and is mounted with linear spring and damper at both ends. Based on cost efficiency and without changing the main configuration of the vibration system, the absorber’s position and length are adjusted to obtain the combinations for the best vibration damping effect. The Method of Multiple Scales (MOMS) is employed to obtain its fixed point and analytic solutions. Numerical method is directly used to calculate the frequency response of this nonlinear system. The phase plots and frequency response of this nonlinear system are compared to verify the impact of vibration absorber position on the main body vibration. In the case studied, we found that the farther the vibration absorber mass center from 0.3 (non-dimensional chord length) behind the leading edge and longer of vibration absorber, the worse the vibration absorbing effect.
Journal of Emerging Trends in Engineering And Applied Sciences 1(1), pp.60-71