Dynamics of 1D mass–spring system with a negative stiffness spring realized by magnets: Theoretical and experimental study

Abstract

Realization of negative stiffness (NS) in damping low frequency acoustic and mechanical vibration is relevant in engineering applications. In this work, assemblage of two repelling magnets was used to produce negative magnetic spring (NMS). A mass–spring system with NMS is experimented where the free and forced vibrations of the system are examined. The anti-phase movement is observed due to the presence of proposed NMS, confirming the analytical solution. We further showed the dynamics of the system containing NS spring could also be derived from Hamilton’s principle.