A vibration damped apparatus comprising a damping mass which is mechanically coupled to a member subject to vibration. The damping mass is formed from a elastic material throughout which a plurality of sub-masses are distributed. The sub-masses are relatively positioned so that the damping mass has different moduli of elasticity in tension and compression, so as to quickly dampen a broad frequency range of vibrations in the vibrating member. In a preferred embodiment, the vibrating member is a tubular post upon which vibration-sensitive optical components are mounted, the damping mass being disposed within a cavity in the post to damp vibrations of the post and optical components thereon.