Yingyu Hua
Hong Kong Polytechnic University, Hongkong
Title: Design optimization of a beam-based dynamic vibration absorber using the fixed-points theory
Biography
Biography: Yingyu Hua
Abstract
Addition of a dynamic vibration absorber (DVA) to a vibrating structure could provide an economic solution for vibration suppression if the absorber is properly designed and located onto the structure. A common design of DVA is a sprung mass because of its simple structure and low cost. A beam-based DVA is proposed and its design is optimized for minimizing resonant vibration of a beam structure. The beam absorber is modeled as a cantilever beam subjected to the ground excitation from the clamed end. The dynamics of the primary beam structure with the proposed DVA is solved by the mode superposition method. The dynamic compliance at the end of the primary beam connected with a beam absorber is calculated. The numerical analysis result is validated by comparing with the result from Abaqus as well as the Transfer Matrix method (TMM) method. Fixed-points theory is used to derive the analytical expressions for the optimum tuning ratio and damping ratio of the proposed beam-based DVA. It is proved analytically that the proposed optimized beam-based DVA can be more effective than the traditional sprung mass DVA if the proposed design guideline is followed. A case study of the primary cantilevered beam is given to show the differences of two types of absorber (i.e. beam absorber and the traditional sprung mass absorber) in vibration suppression performance.