MEMS devices include a suspended element connected to a fixed part of a substrate by one or more flexures, wherein the one or more flexures are configured to permit movement of the suspended element relative to a fixed part of the substrate. A sensor coupled to the suspended element and a damping structure coupled to the suspended element extends into a gap between the suspended element and the fixed part of the substrate. One or more fluid confinement structures are configured to permit movement of the damping structure within a limited portion of the gap and to confine a viscoelastic fluid to the limited portion of the gap.