A study on dynamic absorber with two pendulums(balls) mounted on tilted vibrating system

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On developing a dynamic absorber consisting of two pendulums (vertical : parametrically excited, horizontal : resonated) which is effective for vibration of a structure in both vertical and horizontal directions, analytical and experimental studies are performed. The system where the two pendulums are replaced by balls (rollers) is also investigated. In this study the following results are obtained.1)Nonlinear equation of motion is developed for the tilted single DOF system subjected to excitation in tilted direction.2)A scheme for obtaining the optimum damping ratio is suggested where overall frequency response of the system can be minimized. The optimum damping ratio and corresponding frequency response is calculated numerically for several tilted angle, and the results show that proposed dual pendulum-type dynamic absorber is effective for vibration control. Moreover, the experimental investigation shows good correspondence with numerical tests.3)Equation of motion for the tilted vibration system with roller-type dynamic absorber is developed, where the slip between roller and guide is considered, Both numerical and experimental tests show that the roller type absorber represents similar damping effect as the pendulum system. Investigating performance of roller type damper with optimal damping remains to be tested due to the difficulty in placing damping mechanism for the roller motion experimentally, however, the compactness of the suggested system provides compact implementation and good performance at fixed frequency excitation.