  The nonlinear energy harvesting systems of the forced vibration with an
electron-mechanical coupling are widely used to capture ambient vibration
energy and convert mechanical energy into electrical energy. However, the
nonlinear response mechanism of the friction induced vibration (FIV) energy
harvesting system with multiple stability and stick-slip motion is still
unclear. In the current paper, a novel nonlinear energy harvesting model with
multiple stability of single-, double- and triple-well potential is proposed
based on V-shaped structure spring and the belt conveying system. The dynamic
equations for the energy harvesting system with multiple stability and
self-excited friction are established by using Euler-Lagrangian equations.
Secondly, the nonlinear restoring force, friction force, and potential energy
surfaces for static characteristics of the energy harvesting system are
obtained to show the nonlinear varying stiffness, multiple equilibrium points,
discontinuous behaviors and multiple well response. Then, the equilibrium
surface of bifurcation sets of the autonomous system is given to show the
third-order quasi zero stiffness (QZS3), fifth-order quasi zero stiffness
(QZS5), double well (DW) and triple well (TW). Furthermore, the response
amplitudes of charge, current, voltage and power of the forced
electron-mechanical coupled vibration system for QZS3, QZS5, DW and TW are
analyzed by using the numerically solution. Finally, a prototype of FIV energy
harvesting system is manufactured and the experimental system is setup. The
experimental work of static restoring force, damping force and electrical
output are well agreeable with the numerical results, which testified the
proposed FIV energy harvesting model.
