Design of mechanical energy pumping devices

作者：Musienko AI^*; Lamarque CH; Manevitch LI

来源：Journal of Vibration and Control, 2006, 12(4): 355-371.

DOI：10.1177/1077546306062098

• energy pumping
• resonance capture

In this paper we study energy pumping phenomena in two- and three-degrees-of-freedom systems of coupled linear and nonlinear oscillators. Energy pumping is a passive, almost irreversible transfer of mechanical energy from the main substructure of the system to the light auxiliary attachment. The mechanism of energy pumping in the systems under consideration is resonance capture. Different designs of systems allowing energy pumping are examined both analytically and numerically. We propose a novel methodology for analyzing the transient response via time evolution of modulating functions. The analytical description of the process in terms of complex variables turns out to be in good agreement with the results of numerical simulations. We show that necessary conditions for applications of energy pumping can actually be provided. We show that it is possible to design a type of gear box (i.e. a system of various attachments connected with the main substructure in turn) providing more efficient energy transfer from the heavy oscillator (the main system) to the light auxiliary oscillator. We also study the design of the nonlinear auxiliary subsystem comprised of two linearly coupled cubic oscillators with different parameters linearly coupled with the main system. We show that such a design can improve the technical characteristics of the energy pumping device.

• 出版日期2006-4