  Nonlinearity has enabled energy harvesting to advance towards higher power
output and broader bandwidth in monostable, bistable, and multistable systems.
However, challenges in operating in the high energy orbit (HEO) rather than low
energy orbit (LEO) have restricted their applications. Based on a monostable
nonlinear system, this paper proposes a self-contained solution for
time-sharing orbit jump and energy harvesting. The joint dynamics of an
electromechanical assembly consisting of a nonlinear energy harvester and a
switch-mode piezoelectric interface circuit is studied for high-capability
energy harvesting. The proposed solution is carried out by utilizing a
cutting-edge switch-mode bidirectional energy conversion circuit (BECC), which
enables time-sharing dual functions of energy harvesting and vibration
exciting. A theoretical model is established based on impedance analysis and
multiple time scales method to analyze the stability, frequency response, and
phase evolution of the autonomous and nonautonomous nonlinear energy harvesting
systems. Particularly, the detailed dynamics for the orbit jumps with vibration
exciting mode of BECC are studied. Experiments are performed to validate the
full-range orbit jumps with the monostable nonlinear energy harvester. The
harvested power after orbit jumps yields a nine-fold increase, compensating for
the energy consumption under vibration exciting mode quickly. The proposed
solution also refrains the system from extra mechanical or electrical energy
sources for orbit jumps, which leads to the first self-contained solution for
simultaneous energy harvesting and orbit jump in nonlinear piezoelectric energy
harvesting. This work enhances the practical utility of nonlinear energy
harvesting technologies toward engineering applications.
