| dc.description.abstract | This research focuses on numerical analysis and optimal design of the cantilever-type piezoelectric tuned mass damper (Piezo-TMD). At first, this research derives the mechanical and electrical of equations of motion of piezoelectric cantilever beam, and then the polynomial shape function is introduced to obtain the generalized single-degree-of-freedom equations of motion. The frequency response function is further derived to compare with the one derived by distributed parametric shape function. For the cantilever-type Piezo-TMD, in terms of having a certain vibration reduction effect, to have a better power generation efficiency is the key point, and the maximum piezoelectric damping ratio can be used to evaluate the power generation efficiency. Therefore, the research had tested four key parameters for sensitivity analysis, including the width and length of the piezoelectric cantilever beam, the total thickness of the piezoelectric layer and the base layer at the same thickness ratio, and the mass of the external proof mass. The results show that these four terms are not affecting the value of the maximum piezoelectric damping ratio, so just trying to add the amount of piezoelectric material will not lead to a higher power generation. In view of this, when designing the cantilever-type Piezo-TMD, a proper size of piezoelectric cantilever beam can be firstly chosen to realize the maximum piezoelectric damping ratio, then the optimal TMD mass ratio could be found by using the optimal damping ratio design formula of traditional tuned mass damper. Accordingly, the external proof mass is designed to match the optimal TMD mass ratio. For the best power generation and vibration reduction, the cantilever-type piezo-TMD have to tune to the main structure according to the design formula of optimal frequency ratio of traditional tuned mass damper. Thus, the length and width of piezoelectric beam can then be adjusted for the mechanical tuning, the resistance can also be adjusted for electrical matching. Use the aeroelastic model structure implemented with designed cantilever-type piezo-TMD to perform numerical analysis of frequency response function and time history analysis, the result shows that the cantilever-type piezo-TMD can effectively reduce the structural vibration and have great power generation simultaneously. | en_US |