Механика машина и механизама – модели и математичке методе, 3. март 2020.

Наредни састанак Семинара биће одржан у уторак, 3. марта 2020. у сали 301ф Математичког института САНУ са почетком у 17 часова.

Предавач: Степа М. Пауновић, Математички институт САНУ

Наслов предавања: SOME PROBLEMS AND POSSIBLE SOLUTIONS IN MATHEMATICAL MODELLING OF A PIEZOELECTRIC DYNAMIC ABSORBER

Апстракт: Piezoelectric dynamic absorbers (PEDA) can be used to effectively attenuate vibrations of the primary structure while transforming the mechanical energy of these vibrations into electrical energy, thus acting both as dynamic absorbers and energy harvesting systems. These systems are very suitable for application to a broad range of civil engineering structures, such as tall buildings or long-span bridges, where vibrations induced by exploitation loads or wind can be severe. In this way not only that the vibrations are mitigated, but also the electricity generated during this process can be used to power lights or structural health monitoring devices, thus contributing to development of smart structures and integral systems. Therefore it is important to formulate a precise, reliable and robust mathematical model for design and analysis of PEDA. In this lecture, the basic design and modelling concepts of one type of piezoelectric dynamic absorber, derived in the ongoing research within the lecturer’s PhD thesis, will be presented. First, the basic types of dynamic absorbers and piezoelectric energy harvesters will be briefly described, providing the background for understanding the main ideas regarding the proposed design variant of PEDA which follow. Next, the derived mathematical model will be examined in detail, pointing out the problems encountered during the modelling procedure, as well as the means and methods used to solve them. Finally, the planned optimization of the proposed model will be briefly discussed, concluding with the future outlooks and possibilities for further development of the presented model.