In this study the interaction between self-excited and paramet rically excited oscillations in two-degree-of-freedom systems with quadratic nonlinearities is investigated. The fundamental parametric resonance of the first mode and 3:1 internal resonance is considered, followed by 1:2 internal and parametric resonances of the second mode. The method of multiple time scales is applied to derive f...

the most promising method for micro scale energy scavenging is via vibration energy harvesting which converts mechanical energy to electrical energy by the effect of coupling between electric fields and mechanical variables. using piezoelectric cantilevers is the most common method for vibration energy harvesting. changing the shape of the cantilevers can lead to changing the generated output v...

The power system nonlinearity and its profound impact on the individual states of power system is first evaluated and the interaction between their constituent modes during the occurrence of internal mode resonance (IMR) is discussed in this paper. A typical dynamical feature of nonlinear systems is the frequency-energy dependence of their states and their corresponding constituent modes which ...