A support device for supporting a plurality of elongated members. The support device having a longitudinally extensive strip having a plurality of sets of transverse corrugations located at successive longitudinal locations along the strip. Each set of transverse corrugations forming a plurality of elongated member engaging zones extending laterally outwards from both faces of the strip to engage the elongated members in the tube bundle on opposite sides of a tube lane. The support device is useful to support elongated members in a bundle and to mitigate the possibility of damage from flow-induced vibration in elongated members.