National Institute of the Republic of Serbia
ὅδε οἶκος, ὦ ἑταῖρε, μνημεῖον ἐστιν ζωῶν τῶν σοφῶν ἀνδρῶν, καὶ τῶν ἔργων αὐτῶν
Seminar Mechanics of Machines and Mechanisms - Models and Mathematical Methods
PROGRAM
Plan rada Seminara Mehanika mašina i mehanizama - modeli i matematičke metode za DECEMBAR 2022.
UTORAK, 13.12.2022. u 17:00, sala 301f, Kneza Mihaila 36 i Live stream
Danilo Karličić, Matematički institut SANU, Beograd, Serbia
THE NONLINEAR ENERGY HARVESTERS: ANALYSIS AND APPLICATIONS
The process of capturing small amounts of energy from one or more naturally occurring environmental energy sources such as thermal, solar, electromagnetic, and mechanical is known as energy harvesting. The energy harvester (EH) developed for capturing the ambient vibration energy by converting the mechanical strain energy into the electric current or voltage, using the piezoelectric effect, are usually called piezoelectric energy harvesters. The self-powering capabilities of piezoelectric structures allow electronic devices as wireless sensors to exclude energy storage components and retains promise for direct driving of energy from the environmental mechanical resources by powering small electronics and MEMS/NEMS devices. Understanding the general dynamic behaviour of such electromechanical systems is of prime importance for design procedures and practical applications of EH devices. Therefore, in this presentations aims at demonstrating a better performance of the nonlinear EH model with parametric amplification leading to higher values of the harvested power.
To explore complex dynamical behaviour of the presented models, periodic solutions and their bifurcations are found by using the incremental harmonic balance and continuation methods. For the detection of unstable periodic orbits, the Floquet theory is applied and an interesting harmonic response of the presented nonlinear dynamical system is detected. The main advantage of the presented approach is its ability to obtain approximated periodic responses in terms of Fourier series for a system with strong nonlinearity. The accuracy of the presented methodology is verified by comparing the results obtained in this work with those obtained by a standard numerical integration method and results from the literature. Numerical examples show the effects of different physical parameters on amplitude-frequency response, where a qualitative change is explored and studied in detail.
Seminar Mehanika mašina i mehanizama - modeli i matematičke metode započeo je sa radom u junu 2018.god. Seminar se održava do dva puta mesečno, utorkom u periodu od 17.00 - 19.00 u Matematičkom institutu SANU.