A method of manufacturing a non-ferrous, light metal alloy vibration-damped part for a vehicle chassis includes introducing a polymer insert into a cavity formed in the part. The polymer insert may be introduced into the cavity by separately fabricating the polymer insert and then sliding or maneuvering the insert into the cavity or by injecting a liquid polymer material into the cavity and then solidifying and shrinking the liquid polymer material into the polymer insert. The vibration-damped light metal alloy part can damp vibrations that originate within or are imparted to the part when such vibrations effectuate relative contacting frictional movement between an exterior surface of the polymer insert and an interior surface of the cavity.