A passive variable negative stiffness device (passive VNSD) configured to facilitate a transition to zero stiffness by using elastic devices (e.g., springs) combined with translating and rotating components. An exemplary embodiment of a passive VNSD may comprise at least one pretensioned and/or precompressed elastic device to produce the desired force-displacement profiles. For instance, an exemplary embodiment of a passive VNSD may be adapted to produce force-displacement profiles that transition from zero stiffness, to negative stiffness, and then to positive stiffness (ZNP) and from zero stiffness, to negative stiffness, and then back to zero stiffness (ZNZ).